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8_murik_8 [283]
3 years ago
6

with vertices D(2, 5), E(6, 4), and F(3, 3), is reflected across the line y=x A student determined one of the vertices on the im

age to be (2, –5). Evaluate the student’s answer
Mathematics
1 answer:
pochemuha3 years ago
8 0
The point (2, -5) would not be one of the correct vertices of the reflected shape.

When we reflected a shape across the line y=x, we just replace the x's with y's and y's with x's.

Our new points are (5, 2) (4, 6) and (3, 3). None of the points contain negative numbers.
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like terms: (3n,-n),(7,-3)

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What’s the value of X?<br> A) 81<br> B) 69<br> C) 78<br> D) 72
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What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (
Crank

The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

<h2>We have to determine</h2>

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

<h3>According to the question</h3>

A line segment at points A(2, -3) and B (-4, 9).

The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;

\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\&#10;\\&#10; y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\&#10;\\

Where \rm x_1 = 2 , \ x_2 =-4, \ y_1 =-3, \ y_2 = 9

Substitute all the values in the formula;

\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\\\

\rm x=\dfrac{1}{(1+2)} [-4-(2)]+ (2)\\\\ x = \dfrac{1}{3} \times (-6) +2 \\&#10;\\&#10;x = -2+2\\&#10;\\&#10;x=0

\rm y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\\\ y=\dfrac{1}{(1+2)} [9-(-3)]+ (-3)\\\\&#10;y = \dfrac{1}{3} \times (12) -3\\&#10;\\&#10;y = 4-3\\&#10;\\&#10;y =1

Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

To know more about Coordinates click the link given below.

brainly.com/question/13847533

7 0
3 years ago
6. Let f(x)=x-2 and g(x) = x^2. Find the value of (fog)(-1).<br> A. -1<br> B.9<br> C.3<br> D.-3
inna [77]

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

f(x) = x - 2

g(x) = x²

In order to find (fog)(-1) we must first find (fog)(x)

To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with

g (x).

That's

(fog)(x) = x² - 2

To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)

We have

(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1

Hope this helps you

8 0
3 years ago
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