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stellarik [79]
4 years ago
8

Figure H was reflected across linel resulting in figure H'. Describe a transformation that would map figure H' back onto figure

H. b. Translate figure H' along vector EF. Label this image H". Translate figure H along vector EF; then, reflect the translated image across line l. Label this image H™ c. Are H" and in the same location? Explain your answer.
Mathematics
1 answer:
Marina CMI [18]4 years ago
3 0
It would be the first one because
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David has a rectangle and a right triangle.
emmasim [6.3K]

Answer:

2w^2+10w

Step-by-step explanation:

Let's start with the rectangle.

The length of the rectangle is:

L = 5 + w

The width of the rectangle is:

W

So, the equation of the area for the rectangle would be:

(w)(5+w) due to the area of a rectangle being length x width

Now, onto the triangle.

The length of the shorter side is equal to the width of the rectangle:

L(1) = w

The length of the longer side of the triangle is twice the length of the rectangle, so going back to what we have the rectangles length being:

L(2) = (2)(5+w) or 10 + 2w

Now to find the area of the triangle, use the equation 1/2(b)(height)

So plug it in:

1/2(w)(10 + 2w)

Which equals 1/2(10w + 2w^2)

Now, we times it by 1/2, so we will put it into a fraction:

1 x (10w + 2w^2)/2

10w + 2w^2/2

Now factor it:

2w(5 + w)/2

2 cancels out 2, so we are left with

w(w+5) = w^2 + 5w

So, the equation says what is the combined area of the rectangle and triangle

Rectangle area: w(w+5) = w^2 + 5w

Triangle area: w^2 + 5w

So, the combined area is 2w^2 + 10w

hope that helps!! I understand this question is hard, so I tried to explain as best as I can :)

for me, this is an EOC question, so to all those taking the test good luck! study hard!!

3 0
3 years ago
In Minneapolis, it is 20 degrees colder than it is in Houston
Luba_88 [7]

Answer:

I am sorry but there is not enough info to solve this.

Step-by-step explanation:

Is there anything else that I can assist you today?

5 0
3 years ago
Eagletrons are​ all-electric automobiles produced by Mogul​ Motors, Inc. One of the concerns of Mogul Motors is that the Eagletr
svetoff [14.1K]

Answer:

See explaination and attachment

Step-by-step explanation:

Average can be defined as a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Range can be defined as the difference between the largest and smallest values.

Please kindly check attachment for details of the answer.

3 0
4 years ago
What is the maximum value of the derivative of f(x)= 3x^2+x^3
son4ous [18]

Answer:

Maximum Value: ∞

General Formulas and Concepts:

<u>Calculus</u>

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x² + x³

<u>Step 2: Find Derivative</u>

  1. Basic Power Rule:                    f'(x) = 2 · 3x²⁻¹ + 3 · x³⁻¹
  2. Simplify:                                    f'(x) = 6x + 3x²

<u>Step 3: Analyze</u>

We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.

Therefore, the maximum value of the derivative would be ∞, as the parabola's output <em>y</em> infinitely increases.

5 0
3 years ago
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Rudiy27

Answer:25

Step-by-step explanation: 3+5=8

40/8=5

5x5=25

6 0
3 years ago
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