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BartSMP [9]
3 years ago
5

Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below:

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

<h2>The third option is correct.</h2>

Step-by-step explanation:

The line D'E' is parallel to the y-axis.

Hence, it is clear that the image is reflected across the y-axis.

If you see closely the given image, you can see that the y ordinates of each point of the Pentagon has shifted 8 points towards the positive direction of y-axis.

Hence, the transformation for the y-coordinates will be Y = y + 8.

Now if you check the transformation for the x-coordinates, you will observe that the coordinates of D and E will be lie on x = -1. After reflection, they will lie on x = 1.

You might be interested in
3ax-n/5=-4 solve for x
ollegr [7]

The solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

<h3>What is the solution for x in the given equation?</h3>

3ax - n/5 = -4

To solve for x, isolate the term that contains x.

3ax - n/5 = -4

3ax = -4 + n/5

Divide each term by the coefficient of x and simplify

3ax/3a = -4/3a + (n/5)/3a

x = -4/3a + (n/5)/3a

multiply (n/5) by the reciprocal of 3a

x = -4/3a + (n/5) × 1/3a

x = -4/3a + n/15a

Therefore, the solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

4 0
2 years ago
1/3+1/3x+8/3=-1/3(6x+11)
ivann1987 [24]

Answer:

x=-20/7 or -2.857

Step-by-step explanation:

bring like terms together in each side of the = side

then work the out

3 0
3 years ago
An account was overdrawn. The status of his account was -$248. He did not realize the problem and wrote another check for $73. T
Zepler [3.9K]

Answer:

-$336.00

Step-by-step explanation:

-$248.00+-$73.00+-$15.00=-$336.00

4 0
4 years ago
I will give brianly just help me
Bumek [7]

Answer:

The answer is C

Step-by-step explanation:

All I did was try to match C with F. Count how many lines you went to the right and thats your x value. Same for Y but down. Down forgot to add integers.

3 0
3 years ago
Me voy a comprar una barra de cortinas. Como vivo en un doceavo piso, me interesa saber cuál es la longitud máxima que puedo met
iren2701 [21]

Answer:

The maximum length of the bar I could fit in the elevator is 2.87 meters.

Step-by-step explanation:

<u><em>The question in English is</em></u>

I'm going to buy a curtain rod. Since I live on a twelfth floor, I'm interested in knowing the maximum length I can put in the elevator.

So I take out my pocket tape measure, which only measures up to a meter and I measure the floor which turns out to be a square of 1m x 1m, but for the height it doesn't give.

However, there's a sticker on the lift box that says it has a capacity of 2,500 litres.

With all this information, what is the maximum length of bar that would fit me in the elevator?

step 1

Find the height of the elevator

we know that

The elevator has a capacity of 2,500 litres.

1\ m^3=1,000\ L

so

2,500\ L=2.5\ m^3

The volume of the elevator is given by

V=Bh

where

B is the area of the base

h is the height of the elevator

we have

B=(1)(1)=1\ m^2\\V=2.5\ m^3

substitute

2.5=(1)h\\h=2.5\ m

step 2

Find the diagonal of the base of the elevator

Let

d ---> diagonal of the base of the elevator

Applying the Pythagorean Theorem

d^2=b^2+b^2

substitute

d^2=1^2+1^2

d=\sqrt{2}\ m

step 3

Find the diagonal of the rectangular prism (elevator)

Let

D ----> diagonal of the rectangular prism

d ---> diagonal of the base of elevator

h ----> height of the elevator

Applying the Pythagorean Theorem

D^2=d^2+h^2

substitute

D^2=(\sqrt{2})^2+2.5^2

D^2=8.25\\D=2.87\ cm

therefore

The maximum length of the bar I could fit in the elevator is 2.87 meters.

3 0
3 years ago
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