Hello!:
24/12 - 8
= 2 - 8
= -6
3.2.3. In the table below, the written explanation of the steps have been provided, show the
mathematical steps for the explanations given.
WH
Factorize x²+x-12
Mathematical steps.
x² + 4x -3x - 12
(x+4)(x-3)
Explanation
Rewrite the middle term of the trinomial
using the values from the chart above.
Group pairs of terms.
Factor out the HCF of the first group.
Factor out the HCF of the second group.
Factor out HCF of the two terms
The final factorized answer
SURINATE
Multiplying polynomials (8v - 5)(v + 7)
Step-by-step explanation:
To multiply the polynomials (8v - 5)(v + 7), we can use the distributive property:
(8v - 5)(v + 7) = 8v(v + 7) - 5(v + 7)
Now we can simplify by multiplying each term:
8v(v + 7) - 5(v + 7) = 8v^2 + 56v - 5v - 35
Finally, we can combine like terms to get the simplified expression:
8v^2 + 51v - 35
Therefore, (8v - 5)(v + 7) = 8v^2 + 51v - 35.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
Step-by-step explanation:
32 60 68
What additional information is needed to prove the triangles are congruent by the SAS Postulate?
An additional information that is needed to prove the triangles are congruent by the SAS Postulate is: D. ∠BAC ≅ ∠DAC.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
Based on the side, angle, side (SAS) similarity theorem, we can logically deduce that ∆BAC is congruent to ∆DAC when the angles A (∠A) are congruent by the reflexive property.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Applying the angle of intersecting secants theorem, the measure of arc LN in the circle is: 56°.
How to Find the Arc Measure Using the Angle of Intersecting Secants Theorem?Given the circle in the image above where the two secants intersect outside the circle, the angle of intersecting secants theorem states that:
external angle formed = 1/2 * (the measure of arc KP - the measure of arc LN)
Plug in the values:
20 = 1/2 * (96 - m(LN))
2 * 20 = 96 - m(LN)
40 = 96 - m(LN)
m(LN) = 96 - 40
m(LN) = 56°
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The equation of the circle is (x - 2)² + (y - 3)² = 36
Determining the equation of the circleFrom the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
Center = (a, b) = (2, 3)
Radius, r = 6 units
The equation of the circle is represented as
(x - a)² + (y - b)² = r²
So, we have
(x - 2)² + (y - 3)² = 6²
Evaluate
(x - 2)² + (y - 3)² = 36
Hence, the equation is (x - 2)² + (y - 3)² = 36
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Which expression is equivalent to -32^3/5
The expression which is equivalent to -32^3/5 is -32768 / 125.
We are given that;
Expression=-32^3/5
Now,
To find an equivalent expression for -32^3/5 is to use the property of exponents that says [tex](a/b)^n = a^n / b^n.[/tex] Applying this property, we get:
-32^3/5 = (-32)^3 / 5^3
Now we can simplify the numerator and denominator by cubing them:
-32^3/5 = -32768 / 125
This is an equivalent expression for -32^3/5. There may be other ways to find equivalent expressions, such as factoring or using common denominators.
Therefore, by the expression the answer will be -32768 / 125.
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In the figure below, S is the center of the circle. Suppose that JK = 20, LM = 3x + 2, SN = 12, and SP = 12. Find the
following.
The values are x = 2 and NS = 3.5.
Given is a circle with center S, we need to find the missing measure,
K = 16, MP = 8, LP = 2x+4, and PS = 3.5, we need to find the measures of x and NS.
We know that the perpendicular drawn from the center of a circle bisect the chords into two halves,
And the perpendiculars are congruent.
Therefore,
MP = PL
2x+4 = 8
x+2 = 4
x = 2
Also,
NS = PS
So, NS = 3.5
Hence the values are x = 2 and NS = 3.5.
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Taylor recorded Weekly grocery expense for the past 16 weeks and determine the mean weekly expense was $83.20 later she discovers that one week expense of $90 was incorrectly recorded at $38. What is the mean
The mean weekly expense, after correcting the incorrectly recorded week, is $81.25.
How to solveGiven that Taylor recorded the past 16 weeks' expenses, excluding the incorrect recording of $90 as $38, we have 15 correct expense values.
Sum of correct expenses = $83.20 * 15 = $1248
Now we need to include the corrected expense of $90 instead of $38.
New sum of expenses = $1248 - $38 (incorrectly recorded) + $90 (corrected) = $1300
Finally, we calculate the mean by dividing the new sum by the total number of weeks, which is 16.
Mean weekly expense = $1300 / 16 = $81.25
Therefore, the mean weekly expense, after correcting the incorrect recording, is $81.25.
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Given the number pattern:
20; 18: 14; 8;
a) Determine the nth term of this number pattern.
b) Determine the value of T12 in this number pattern.
c) Which term in this number pattern will have a value of - 36?
A quadratic number pattern has a second term equal to 1, a third term equal to -6 and a fifth term equal to - 14.
a) Calculate the second difference of this quadratic number pattern.
b) Hence, or otherwise, calculate the first term of this number pattern.
Answer:
[tex]\textsf{a)} \quad T_n=-n^2+n+20[/tex]
[tex]\textsf{b)} \quad T_{12}=-112[/tex]
[tex]\textsf{c)} \quad \sf 8th\;term[/tex]
a) Second difference is 2.
b) First term is 10.
Step-by-step explanation:
The given number pattern is:
20, 18, 14, 8, ...To determine the type of sequence, begin by calculating the first differences between consecutive terms:
[tex]20 \underset{-2}{\longrightarrow} 18 \underset{-4}{\longrightarrow} 14 \underset{-6}{\longrightarrow}8[/tex]
As the first differences are not the same, we need to calculate the second differences (the differences between the first differences):
[tex]-2 \underset{-2}{\longrightarrow} -4 \underset{-2}{\longrightarrow} -6[/tex]
As the second differences are the same, the sequence is quadratic and will contain an n² term.
The coefficient of the n² term is half of the second difference.
As the second difference is -2, the coefficient of the n² term is -1.
Now we need to compare -n² with the given sequence (where n is the position of the term in the sequence).
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5}n&1&2&3&4\\\cline{1-5}-n^2&-1&-4&-9&-16\\\cline{1-5}\sf operation&+21&+22&+23&+24\\\cline{1-5}\sf sequence&20&18&14&8\\\cline{1-5}\end{array}[/tex]
We can see that the algebraic operation that takes -n² to the terms of the sequence is to add (n + 20).
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5}n&1&2&3&4\\\cline{1-5}-n^2&-1&-4&-9&-16\\\cline{1-5}+n&0&-2&-6&-12\\\cline{1-5}+20&20&18&14&8\\\cline{1-5}\sf sequence&20&18&14&8\\\cline{1-5}\end{array}[/tex]
Therefore, the expression to find the the nth term of the given quadratic sequence is:
[tex]\boxed{T_n=-n^2+n+20}[/tex]
To find the value of T₁₂, substitute n = 12 into the nth term equation:
[tex]\begin{aligned}T_{12}&=-(12)^2+(12)+20\\&=-144+12+20\\&=-132+20\\&=-112\end{aligned}[/tex]
Therefore, the 12th term of the number pattern is -112.
To find the position of the term that has a value of -36, substitute Tₙ = -36 into the nth term equation and solve for n:
[tex]\begin{aligned}T_n&=-36\\-n^2+n+20&=-36\\-n^2+n+56&=0\\n^2-n-56&=0\\n^2-8n+7n-56&=0\\n(n-8)+7(n-8)&=0\\(n+7)(n-8)&=0\\\\\implies n&=-7\\\implies n&=8\end{aligned}[/tex]
As the position of the term cannot be negative, the term that has a value of -36 is the 8th term.
[tex]\hrulefill[/tex]
Given terms of a quadratic number pattern:
T₂ = 1T₃ = -6T₅ = -14We know the first differences are negative, since the difference between the second and third terms is -7. Label the unknown differences as -a, -b and -c:
[tex]T_1 \underset{-a}{\longrightarrow} 1 \underset{-7}{\longrightarrow} -6 \underset{-b}{\longrightarrow}T_4 \underset{-c}{\longrightarrow} -14[/tex]
From this we can create three equations:
[tex]T_1-a=1[/tex]
[tex]-6-b=T_4[/tex]
[tex]T_4-c=-14[/tex]
The second differences are the same in a quadratic sequence. Let the second difference be x. (As we don't know the sign of the second difference, keep it as positive for now).
[tex]-a \underset{+x}{\longrightarrow} -7\underset{+x}{\longrightarrow} -b \underset{+x}{\longrightarrow}-c[/tex]
From this we can create three equations:
[tex]-a+x=-7[/tex]
[tex]-7+x=-b[/tex]
[tex]-b+x=-c[/tex]
Substitute the equation for -b into the equation for -c to create an equation for -c in terms of x:
[tex]-c=(-7+x)+x[/tex]
[tex]-c=2x-7[/tex]
Substitute the equations for -b and -c (in terms of x) into the second two equations created from the first differences to create two equations for T₄ in terms of x:
[tex]\begin{aligned}-6-b&=T_4\\-6-7+x&=T_4\\T_4&=x-13\end{aligned}[/tex]
[tex]\begin{aligned}T_4-c&=-14\\T_4+2x-7&=-14\\T_4&=-2x-7\\\end{aligned}[/tex]
Solve for x by equating the two equations for T₄:
[tex]\begin{aligned}T_4&=T_4\\x-13&=-2x-7\\3x&=6\\x&=2\end{aligned}[/tex]
Therefore, the second difference is 2.
Substitute the found value of x into the equations for -a, -b and -c to find the first differences:
[tex]-a+2=-7 \implies -a=-9[/tex]
[tex]-7+2=-b \implies -b=-5[/tex]
[tex]-5+2=-c \implies -c=-3[/tex]
Therefore, the first differences are:
[tex]T_1 \underset{-9}{\longrightarrow} 1 \underset{-7}{\longrightarrow} -6 \underset{-5}{\longrightarrow}T_4 \underset{-3}{\longrightarrow} -14[/tex]
Finally, calculate the first term:
[tex]\begin{aligned}T_1-9&=1\\T_1&=1+9\\T_1&=10\end{aligned}[/tex]
Therefore, the first term in the number pattern is 10.
[tex]10 \underset{-9}{\longrightarrow} 1 \underset{-7}{\longrightarrow} -6 \underset{-5}{\longrightarrow}-11 \underset{-3}{\longrightarrow} -14[/tex]
Note: The equation for the nth term is:
[tex]\boxed{T_n=n^2-12n+21}[/tex]
What is the meaning of "The set of all functions from X to Y"?
"The set of all functions from X to Y" refers to the collection of all possible functions that can be defined from a set X to a set Y. This set is denoted as Y^X or X→Y.
Each element of the set Y^X is a function that maps each element of set X to a unique element of set Y. The notation for such a function f is f: X → Y.
Given,
f is a function from X to Y .
Note:
The cardinality (size) of the set Y^X is given by |Y^X| = |Y|^|X|. In other words, if the set X has m elements and the set Y has n elements, then the set of all functions from X to Y has n^m elements.
It is often used to describe the space of all possible solutions to a given problem or equation.
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which expression is equivalent to the expression below? -2(5+7x) + 5(x+5) A. 15+9x B. 15 -9x C.35+40x D .35-40x
The expression -2(5 + 7x) + 5(x + 5) is equivalent to the expression -9x + 15. So, the answer is option B: 15 - 9x.
To simplify the expression -2(5 + 7x) + 5(x + 5), we can distribute the coefficients and simplify further.
Starting with the expression -2(5 + 7x):
-2(5 + 7x) = -2 × 5 - 2 × 7x
= -10 - 14x
= -14x - 10
Now let's simplify the expression 5(x + 5):
5(x + 5) = 5 × x + 5× 5
= 5x + 25
Finally, combining the two simplified expressions:
-14x - 10 + 5x + 25
Combining like terms:
(-14x + 5x) + (-10 + 25)
-9x + 15
Therefore, the expression -2(5 + 7x) + 5(x + 5) is equivalent to the expression -9x + 15.
So, the answer is option B: 15 - 9x.
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when an exponent of the power is an even number and the base is a negative number the value is always
Answer:
When an exponent of the power is an even number and the base is a negative number, the value is always positive.
What is the value of x?.
4
B
24
Q
R
15
40
C
X
1 2
The value of x would be,
⇒ x = 15
We have to given that;
A figure with QC is parallel to BR
Now, We can formulate that,
Triangle BDR and triangle CDQ are similar.
Hence, By using proportionality we get;
⇒ BD / DR = QD / CD
Substitute all the values we get;
⇒ (24 + 40) / (15 + x) = 40 / x
Solve for x,
⇒ 64 / (15 + x) = 40 / x
⇒ 64x = 40 (15 + x)
⇒ 8x = 5 (15 + x)
⇒ 8x = 45 + 5x
⇒ 8x - 5x = 45
⇒ 3x = 45
⇒ x = 15
Thus, The value of x would be,
⇒ x = 15
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find the surface area
The Surface area of Triangular Prism is 132 cm².
We have have the dimension of prism as
Sides = 3 cm, 4 cm, 5 cm
and, l = 10 cm
and, b= 4 cm
Now, Surface area of Triangular Prism as
= (sum of sides) l + bh
= (3 + 4 + 5)10 + 4 x 3
= 12 x 10 + 12
= 120 + 12
= 132 cm²
Thus, the Surface area of Triangular Prism is 132 cm².
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which table does not show y as a function of x?
Answer:
I am confident the answer is H.
What is the y-intercept?
Answer:
-4
Step-by-step explanation:
i jus did this question
Please help (easy economics question)!!!
The dollar value of total revenue at each price is $[tex]0[/tex], $[tex]10[/tex], $[tex]12[/tex], $[tex]12[/tex], $[tex]10[/tex], and $[tex]6[/tex]. Total revenue will be the greatest at a price of $[tex]4[/tex], with [tex]3[/tex] units sold.
To find the dollar value of total revenue at each price, we can multiply the price by the corresponding quantity in the demand schedule:
Price: $[tex]6[/tex]
Quantity: [tex]0[/tex]
Total Revenue: $[tex]6 \times 0[/tex] = $[tex]0[/tex]
Price: $[tex]5[/tex]
Quantity: [tex]2[/tex]
Total Revenue: $[tex]5 \times 2[/tex] = $[tex]10[/tex]
Price: $[tex]4[/tex]
Quantity: [tex]3[/tex]
Total Revenue: $[tex]4 \times 3[/tex] = $[tex]12[/tex]
Price: $[tex]3[/tex]
Quantity: [tex]4[/tex]
Total Revenue: $[tex]3 \times 4[/tex] = $[tex]12[/tex]
Price: $[tex]2[/tex]
Quantity: [tex]5[/tex]
Total Revenue: $[tex]2 \times 5[/tex] = $[tex]10[/tex]
Price: $[tex]1[/tex]
Quantity: [tex]6[/tex]
Total Revenue: $[tex]1 \times 6[/tex] = $[tex]6[/tex]
To determine at which price the total revenue will be the greatest, we observe that the highest total revenue occurs at the price with the highest quantity sold. In this case, the price with the highest quantity is $[tex]3[/tex], and the corresponding quantity sold is [tex]4[/tex] units.
Therefore, at a price of $[tex]3[/tex], the total revenue will be the greatest, with [tex]4[/tex] units sold.
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Jesse took a survey of her classmates on how many pairs of shoes they owned.
Which frequency distribution matches the data
{3,8,5,6,4,3,7,8,9,5,5,6,4,12,14,10,8}
The frequency distribution that matches the data {3,8,5,6,4,3,7,8,9,5,5,6,4,12,14,10,8} is C.
Number
of Shoes Frequency
3-5 7
6-8 6
9-11 2
12-14 2
What is a frequency distribution?A frequency distribution is a frequency table or chart that visually displays the actual number of observations in each range or class or the percentage of the observations.
In this frequency distribution, the group 3-5 has the highest frequency of 7 followed by 6-8 with 6 frequencies.
3,8,5,6,4,3,7,8,9,5,5,6,4,12,14,10,8
Number
of Shoes Frequency
3-5 IIIIIII 7
6-8 IIIIII 6
9-11 II 2
12-14 II 2
Total 17
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In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 35 students, she finds 4 who eat cauliflower. Obtain and interpret a 99% confidence interval for the proportion of students who eat cauliflower on Jane's campus using Agresti and Coull's method. Click the icon to view Agresti and Coull's method. Construct and interpret the 99% confidence interval. Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) A. There is a 99% chance that the proportion of students who eat cauliflower on Jane's campus is between Jane's and OB. One is 99% confident that the proportion of students who eat cauliflower on Jane's campus is between OC. There is a 99% chance that the proportion of students who eat cauliflower in Jane's sample is between OD. The proportion of students who eat cauliflower on Jane's campus is between and 99% of the time. and and
Based on the information, A. There is a 99% chance that the proportion of students who eat cauliflower on Jane's campus is between 5.03% and 17.83%.
How to calculate the valueCalculate the sample proportion:
= x / n = 4 / 35
= 0.1143
Calculate the Agresti and Coull's adjustment factor:
zα/2 = z(1 - α/2) = z(1 - 0.99/2)
= 2.576
Calculate the margin of error:
= 2.576 √(0.1143(1 - 0.1143) / 35)
= 0.064
Calculate the confidence interval:
= 0.1143 ± 0.064
= (0.0503, 0.1783)
We are 99% confident that the true proportion of students who eat cauliflower on Jane's campus is between 5.03% and 17.83%.
In other words, if we were to repeat this study many times, we would expect to obtain a confidence interval that includes the true proportion of students who eat cauliflower on Jane's campus 99% of the time.
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Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Rounded to the nearest hundredth, the value of y at [tex]x = 7[/tex] is approximately [tex]12.78[/tex], according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
[tex]\[ y = 1.3642x + 3.2324 \][/tex]
To find the value of [tex]y[/tex] at [tex]x = 7[/tex], we substitute [tex]x = 7[/tex] into the equation:
[tex]\[ y = 1.3642(7) + 3.2324 \][/tex]
Simplifying the equation, we get:
[tex]\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \][/tex]
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is [tex]y = 1.3642x + 3.2324[/tex]. By substituting [tex]x = 7[/tex] into the equation, we find that the estimated value of y is approximately [tex]12.78[/tex]. This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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This figure represents the net of a square pyramid.
2 m
76
6 m
2 m
The total surface area of the square pyramid is 28 m²
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
Given the square pyramid net:
Area of square base = 2 m * 2 m = 4 m²
Area of each triangle face = (1/2) * 2 m * 6 m = 6 m²
Area of the four triangle face = 4 * 6 m² = 24 m²
Total surface area = 24 m² + 4 m² = 28 m²
The total surface area is 28 m²
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Solve the compound inequality.
2y+3≥-9 or -3y<-15
Write the solution in interval notation.
To solve the compound inequality 2y + 3 ≥ -9 or -3y < -15, we'll solve each inequality separately and then combine the solutions.
First, let's solve the first inequality: 2y + 3 ≥ -9.
Subtract 3 from both sides:
2y ≥ -12
Divide both sides by 2 (note that dividing by a positive number does not change the inequality direction):
y ≥ -6
Next, let's solve the second inequality: -3y < -15.
Divide both sides by -3 (remember to reverse the inequality direction when dividing by a negative number):
y > 5
Now, let's combine the solutions. We have y ≥ -6 or y > 5.
In interval notation, we can express the solution as (-∞, -6] ∪ (5, ∞). This means that the solution includes all real numbers less than or equal to -6, as well as all real numbers greater than 5.
If every floor is 5.079 meters tall how many floors are in the burj Khalifa (please help I need this before 12)
Answer:
147 floors
Explanation:
To determine the number of floors in the Burj Khalifa, we can use the information provided. We know that Andre stood 1000 meters away from the building and looked up at a 39.62-degree angle using a laser rangefinder. Let's calculate the height of the Burj Khalifa using basic trigonometry.
First, we can find the height of the building using the tangent function:
tan(angle) = height / distance
tan(39.62 degrees) = height / 1000 meters
height = tan(39.62 degrees) * 1000 meters
height ≈ 747.97 meters
Now, let's calculate the number of floors in the Burj Khalifa. We are given that each floor is 5.079 meters tall.
Number of floors = height / height of each floor
Number of floors = 747.97 meters / 5.079 meters
Number of floors ≈ 147.23 floors
Since we cannot have fractional floors, we can round the number down to the nearest whole number.
Therefore, there are approximately 147 floors in the Burj Khalifa.
I am having a hard time figuring out the domain and range
Answer:
domain= [-5,5]
range= [-3,3]
Step-by-step explanation:
the domain is with the x axis you have to look for the farthest x axis which would be - 5 in this case and the closest axis which is 5 so the x can be anywhere between - 5 and 5
then for the range is with the y axis you would look for the farthest y axis which is - 3 and the closes which is 3 so the y can be anywhere in between - 3 and 3
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
A. mBC = 71
B. mAB = 142
C. AD = 30
D. BD = 30
E. YD = 16
F. DC = 18
Step-by-step explanation:
A. mBC = mAC = 71
B. mAB = mBC + mAC = 71 + 71 = 142
C. AD = AB/2 = 60/2 = 30
D. BD = AD = 30
E. YA^2 = YD^2 + AD^2
YD^2 = YA^2 - AD^2 = 34^2 - 30^2 = 1156 - 900 = 256
YD = √256 = 16
F. DC + YD = YC
DC = YC - YD = 34 - 16 = 18
X-4<5 graph the solution of
The graph of the solution of the inequality is attached
How to graph the solution of the inequalityFrom the question, we have the following parameters that can be used in our computation:
x - 4 < 5
Add 4 to both sides of the inequality
So, we have
x - 4 + 4 < 5 + 4
Evaluate the like terms
So, we have
x < 9
This means that the solution of the inequality is x < 9
See attachment for the graph
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Fill in the y-intercept to complete the function equation.
Answer:
y=3x+5
Step-by-step explanation:
you do 4 times 3 then subtract that from 17
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The length of the radius of the circle of equation (x + 3)² + (y - 7)² = 289 is given as follows:
b) 17.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by the equation presented as follows:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The equation for the circle in this problem is given as follows:
(x + 3)² + (y - 7)² = 289.
Hence the center and the radius are obtained as follows:
Center (-3, 7).Radius of r = 17, as 17² = 289.Hence option B is the correct option for this problem.
More can be learned about the equation of a circle at https://brainly.com/question/1506955
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