what is the distance between the points (4, 6) and (-1, 8)? ​

Answer:hi:)

Step-by-step explanation:

The equation y = (x + 2)² + 3 represents the shown parabolic graph. The correct answer is option B.

The vertex of the parabola occurs at the point (-2, 3), which is the point where the parabola reaches its minimum value.

The term (x + 2)² indicates that the parabola is translated horizontally by 2 units to the left from the standard vertex form of a parabola.

The "+3" term indicates that the parabola is translated vertically by 3 units upward.

Hence, the equation y = (x + 2)² + 3 represents the shown parabolic graph.

Thus, the correct answer is option B.

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Answer:

i do think its 15

Step-bep explanation:

put the 25 in halph and that how its 15

Answer:

[tex]Average\ Rate = 48[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over [tex]5\le x \le 7[/tex]

Average rate of change is calculated using:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a \le x\le b[/tex]

In this case:

[tex]a = 5;\ \ \ b = 7[/tex]

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]

From the table:

[tex]f(7) = 108[/tex]

[tex]f(5) = 12[/tex]

The expression becomes

[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]

[tex]Average\ Rate = \frac{96}{2}[/tex]

[tex]Average\ Rate = 48[/tex]

The Answer: x = -2/7

Answer: x = 2/7 or 0.29

Step-by-step explanation:

- 2x - 12 = 5x - 10

- 2x - 5x = 12 - 10

- 7x = 2

x = 2/7 or x = 0.29

The decimal place is rounded up.

Answer:

x=9

Step-by-step explanation:

1. [tex]\frac{12}{x}[/tex]=[tex]\frac{4}{3}[/tex]

2. 12=[tex]\frac{4}{3}x[/tex]

3. 12=[tex]\frac{4x}{3}[/tex]

4. 12x3=4x

5. 36=4x

6. [tex]\frac{36}{4} =x[/tex]

7. 9=x

8. x=9

The value of x that makes the equation true 12/x = 8/6 is 9

Two or more expressions with an Equal sign is called as Equation.

We need to find the value of x that makes the equation true 12/x = 8/6

The given equation is 12/x=8/6

Twelve divided by x equal to eight by six

Apply cross multiplication

12(6)=8x

72=8x

Divide both sides by 8

x=9

Hence, the value of x that makes the equation true 12/x = 8/6 is 9

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Answer:

1/2x-3

Step-by-step explanation:

First, make the equation 2y+4x=12 into a linear equation(y=mx+b)

2y=-4x+12

y=-2x+6

From this, you know the slope is -2.

The perpendicular of any slope is going to be the negative inverse.

negative inverse: a/b-->-b/a

so basically flip it and make it negative(make it positive if the original is negative).

So, for -2 it would be 1/2

Now right the equation for the perpendicular line.

y=1/2x+b

b is the y intercept, and since you want to make the line go through (8,1) you have to change the 6 in the original equation.

To do this replace x and y with 8 and 1

1=1/2(8)+b

1=4+b

b=-3

So you plug that into the equation

y=1/2x-3

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

Answer:

2, 4

Step-by-step explanation:

i just look at a graph

Answer:

the axis of symmetry

Step-by-step explanation:

Answer:

it is 8x+36 mgmgkgkgkgkfkf sorry about that lol it needs to be 20 words long but yea

Step-by-step explanation:

yeah the answer is c 8x+36

Answer:

I hope this makes you feel good :D

Tysm trystatroxtle278 for helping me notice my mistake!

Answer:

A

Step-by-step explanation:

Answer:

x = 36 and y = 28

Step-by-step explanation:

Let she sells x shakes and y doublescoop cones

One day they sold 8 more shakes than scoops, and made $156.

ATQ,

2x+3y = 156 ..(1)

Also,

x = y+8 ..(2)

Put the value of x from (1) to equation (2)

2(y+8)+3y = 156

2y+16+3y = 156

5y = 156 - 16

5y = 140

y = 28

Put the value of y in equation (2)

x = 28+8

x = 36

Hence, they will sell 36 shakes and 28 doublescoop cones.

Answer:

16/28

Step-by-step explanation:

Multiply both the denomator and numerator by 4

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

8x+10=12x−18

Step 1: Subtract 12x from both sides.

8x+10−12x=12x−18−12x

−4x+10=−18

Step 2: Subtract 10 from both sides.

−4x+10−10=−18−10

−4x=−28

Step 3: Divide both sides by -4.

-4x/-4 = -28/-4

answer: x=7

Answer:

X= 7

Step-by-step explanation:

8x+10 = 12x-18

10= 4x-18

28 = 4x

7 = x

Answer:

100

Step-by-step explanation:

Round off each number to 1 significant figure first.

(39×52)/(3.8×4.9) = (40×50)/(4×5)

Evaluate numbers in brackets.

(40×50)/(4×5) = 2000/20

Evaluate.

2000/20 = 100

The value of the expression will be equal to 100.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Round off each number to 1 significant figure first.

(39×52)/(3.8×4.9) = (40×50)/(4×5)

Evaluate numbers in brackets.

(40×50)/(4×5) = 2000/20

(40×50)/(4×5)  = 2000/20 = 100

Therefore, the value of the expression will be equal to 100.

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There are x-values which are paired with multiple y-values.

Step-by-step explanation:

The line is the y-axis, where x = 0.

Equation of the line: x = 0.

Answer:

  [tex]A=300ml[/tex]

Step-by-step explanation:

From the question we are told that

5% solution of dextrose sugar in water

20% solution of dextrose in

100 milliliters of distilled water water

Generally in mathematically solving we call A the amount of D20W added

Since 20% of dextrose is needed

       [tex]20 \%*100=20milliter[/tex]

Total quantity after addition (100+x)

for DW5% total solution is

          [tex]5\% (100+A)= \frac{5}{100}(100+A)[/tex]

          [tex]5\% (100+A) =5+0.05A[/tex]

Mathematically

           [tex]5+0.05A =20[/tex]

           [tex]5+0.05A =20-5[/tex]

           [tex]A=\frac{15}{0.05}[/tex]

           [tex]A=300ml[/tex]

Therefore the required quantity [tex]A=300ml[/tex]

Answer:

b

Step-by-step explanation:

Answer:

B and A

is the correct answer

Answer:

Part A

The total surface area of the triangular prism is approximately 1715.793 cm³

Part B

The volume of the triangular prism is 1,476 cm³

Step-by-step explanation:

Part A

The given parameters are;

The shape of the cross-section of triangular prism = Right-angled isosceles triangle

The length of one the of the equal side = 6 cm

The length of the prism = 82 cm

Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm

The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm

The area of the triangular cross section of the triangular prism = 1/2 × Base × Height

∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²

The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³

The total surface area of the triangular prism ≈ 1715.793 cm³

Part B

The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism

∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.

Answer:

Step-by-step explanation:

Use the triangle inequality theorem which states that any side of the triangle must be shorter than the sum of the other sides.

We have sum of given sides:

The remaining side must be less than 13 units, which is a- 12 units, all the other options are greater than 13 units

Answer:

Its not 14 its 12

Step-by-step explanation:

I got it right on the test

Answer:

(c) bro for sure i have done this calculation bro

Answer:

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

E D G E N U I T Y

Hope this helped!!! :)

Stay safe and have a wonderful day/afternoon/night!!!!!

Brainliest?!?!

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Composite Functions

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                    (f - g)(x) = -3x - 5 - (4x - 2)

Distribute -1:                 (f - g)(x) = -3x - 5 - 4x + 2

Combine like terms:    (f - g)(x) = -7x - 3

Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

Answer:

x = 6.7128 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ = 40°

Opposite Leg = x

Adjacent Leg = 8

Step 2: Solve for x