Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.

Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)

The triangle ADE is similar to the triangle ABC.

Similar triangles are triangles whose corresponding lengths are not equal to each other, but their corresponding angles are equal.

It is given that the line segment DE is parallel to BC.

Since it is parallel to each other, we can say that the angles formed on both the line segments are equal to each other since they are corresponding angles. Angle A is common to both the triangles.

Therefore, we can say that the two triangles are similar because all the angles are the same in each triangle.

Therefore, we have found out that the triangle ADE is similar to the triangle ABC.

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Answer:

The x-intercept is -3

Step-by-step explanation:

So what you need to do is just graph this like any other equation

Start and (0, 12) and make a point

Then the slope is 4 so go up 4 and right 1 and keep doing that.

Then go the opposite direction so down 4 left 1

After that see where the line hits the x-axis, in this case, its (-3, 0)

So the x intercept is -3 or (-3, 0)

Pls mark brainliest because i didn't waste your time lol

Answer: (-3, 0)

Step-by-step explanation: If you want to find the x- intercept for y = 4x + 12, you’ll have to plug y = 0 into the equation and solve the resultint equation 0 = 4x + 12 for x. [0 = 4 x -3 + 12]. Hence, x = -3, so the x - intercept is (-3, 0).

Answer:

a

Step-by-step explanation:

-5,-13

I hope this helps

Answer:

[tex]\frac{x^{2} }{576y^4}[/tex]

Step-by-step explanation:

Anything to the power of 0 becomes the number 1

[tex]-3x^3\\2(36x^2y^2 )\\\\-x\\2*12y^2\\\\-x^2\\24^2y^2*^2\\\\x^2\\576y^4[/tex]

Answer:

x=26 y=137

Step-by-step explanation:

5x-17+3x-11=180

8x=208

x=26

2y+5+3x-11=180

2y+5+(3*26)-11=180

2y=274

y=137

Answer:

tornado bc they are narrow and can cause great destruction :) hope I helped !

A tornado is the storm that is likely to cause quick destruction along a narrow path.

A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.

Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.

They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.

While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.

Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.

Hence,  tornado is the storm that is likely to cause quick destruction along a narrow path.

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Answer:

c

Step-by-step explanation:

she gained 45 pounds which is 15/7 of 145

Answer:

6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.

Step-by-step explanation:

The distance covered by two marathon runners = 26 miles

They takes 4 hours

We need to find how many miles did they run in 1 hour

In 4 hour, the distance covered is 26 miles

To find distance covered in 1 hour, divide 26 by 4 such that.

[tex]d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}[/tex]

So, they will cover 6.5 miles in 1 hour.

For percentage,

[tex]\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%[/tex]

So, they will run 75% of the full distance in 1 hour.

Answer:

5 = 25

3 = 15

Step-by-step explanation:

25/5 = 5

So, 5 x 5 = 25

      3 x c =

Then, 3 x 5 = 15

5 = 25

3 = 15

A. C (6) = 15.24; C 11 = 22.09.

C (6) represents the cost, $15.24, of delivering flowers to a destination that is 6 miles

from the shop.

C (11) represents the cost, $22.09, of delivering flowers to a destination that is 11 miles

from the shop.

b.

Answer:

The distance between the library and the florist’s shop is the length of CD . The endpoints of this line segment are C(3, 4) and D(3, -3). Because the x-coordinates of both points are the same (3), the length of CD can be found by subtracting the smaller y-coordinate from the greater y-coordinate: CD = 4 – (-3) = 4 + 3 = 7 units. The distance between the library and the florist’s shop is 7 blocks.

Step-by-step explanation:

Answer:

It is in static equilibrium

Explanation:

edge 2021

The box is in static equilibrium, with a net force of 0 N.

Option D is the correct answer.

Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.

In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.

We have,

The box is at rest and is not moving.

This means that the net force acting on the box is zero.

From the free-body diagram,

We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.

Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.

So,

The box is in static equilibrium, with a net force of 0 N.

Thus,

The box is in static equilibrium, with a net force of 0 N.

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Answer: h = 4 and k = 1

Step-by-step explanation:

Just took the test aye

Answer:

12 because you have to divide 105 by 9 2inch is 11.6666666... so you round up and get 12

Answer:x=9z + 16

                  z= x/9 + 16/9

Step-by-step explanation: dont know if i solve for x or z so i did both  subtract 16 from both sides for x      

Isolate the variable by dividing each side by factors that don't contain the variable. for z let me know if u need help

Answer:

Hallooooooo

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

Divide 9 by 20.

Answer:

Step-by-step explanation:

[tex]n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15[/tex]

if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number

The product of numbers where one of them is even will always be even.

55 is odd number so it is not term of this sequence.

Answer:

Step-by-step explanation:

x=120/3

x=40

Answer:

40

Step-by-step explanation:

if m||n then 3x must be equal to 120°

120° = 3x divide both sides by 3

40 = x

Answer:

area of parallelogram=base×height=21×9=189cm²

Answer:

C

Step-by-step explanation:

-18x + 21 > -15  ///  x = 2

20x – 13 >27  ///  x = 2

The solution of inequality -18x + 21 > -15 OR 20x – 13 > 27 is x ∈ (- ∞, ∞), so option E is correct.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

-18x + 21 > -15 or  20x – 13 >27

Solve the first inequality as shown below,

-18x + 21 > -15

-18x + 21 - 21 > -15 - 21       (Subtract 21 from both sides)

-18x > -36

-18x / -18 > -36 / -18      (Divide by -18 into both sides, the inequality sign changes as the value will become positive)

x < 2

Similarly, solve the second inequality,

20x – 13 > 27

20x > 40

x > 2

Thus, the solution will be x < 2 ∪ x > 2 or x ∈ (- ∞, ∞)

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Answer:

3/8

Step-by-step explanation:

Andrew filled a measuring cup with 7/8 of olive oil

He poured 1/2 of the oil into a bowl

Therefore the amount of oil that will be left can be calculated as follows

= 7/8 - 1/2

= 3/8

Hence 3/8 oil will be left

9514 1404 393

Answer:

  y - 2 = 0

Step-by-step explanation:

The given coordinates both have y=2, so the desired line is ...

  y = 2

In general form, that would be ...

  y - 2 = 0

Answer:

-3/4

Step-by-step explanation:

Answer:

$41.50

Step-by-step explanation:

multiply $7.15 by 5 for every hour then add the $5.75 to show how it decreased which will give you $41.50 for 6 hours

Answer:

$35.90

Step-by-step explanation:

(5.75 • 5) + 7.15

= (5 • 5) + (0.75 • 5) + 7.15

= (25 + 3.75) + 7.15

= 28.75 + 7.15

= (28 + 7) + (0.75 + 0.15)

= 35 + 0.90

= $35.90

Hope this helps! :)

Answer:

No real solutions

Step-by-step explanation:

If you rearrange the equation:

33x - 33x = -99 - 99

0x = -198

Anything divided by zero is undefined/no real solution

Answer:

0

Step-by-step explanation:

33x + 99 = 33x - 99

→ Minus 99 from both sides

33x = 33x - 198

→ Minus 33x from both sides

0x = 198

Answer:

13.4

27.1

8.8

Step-by-step explanation:

hope that helps

Answer: The highest recorded temperature was 38 degrees.

Step-by-step explanation:

Given: The coldest temperature last December was –18.24 degrees.

Difference between this and the highest recorded temperature=

56.24 degrees

The highest recorded temperature = coldest temperature + difference

= -18.24+56.24 degrees

= 38 degrees

Hence, the highest recorded temperature was 38 degrees.

Answer: 2/3

Step-by-step explanation:

Number of red cubes = 2

Number of green cubes = 1

Total cubes in the bag = 3

The question relates to a probability with replacement. The probability of getting two reds will be the probability of picking red the first time multiplied by the probability of picking red the second time. This will be:

= 2/3 × 2/3

= 2/3

Answer:

64

Explanation:

If the garden is a square shape then all sides are equal.

One and all sides are 8 meters.

8 times 8 is 64

9514 1404 393

Answer:

  it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

  [tex]\dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}[/tex]

__

Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.

  [tex]\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}[/tex]

Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.