Answer:
k = -10/7 and k = -3
Step-by-step explanation:
Given: <em>y</em> = <em>kx</em> + 2
where k is the slope of line and 2 is y-intercept.
∵ line <em>y</em> = <em>kx </em>+ 2 is passing through point <em>P</em> (-7, 12), ∴ <em>x</em> = -7 and <em>y </em>= 12
Now substituting the value of x and y in above equation,
<em>y </em>= <em>kx</em> + 2
12 =<em> k</em>(-7) + 2
-7<em>k</em> = 12 - 2
- 7<em>k</em> = 10
In the same way, ∵ line <em>y</em> = <em>kx </em>+ 2 is passing through point <em>P</em> (3, -7), ∴ <em>x</em> = 3 and <em>y </em>= -7
<em>y </em>= <em>kx</em> + 2
Now substituting the value of x and y in above equation,
-7 =<em> k</em>(3) + 2
<em>3k</em> = -7 - 2
<em>3k</em> = - 9
<em>k</em> = -3
From the information given about the triangle, the transformation that can map Triangle PQR onto Triangle STU is D. reflection, then translation.
<h3>What is a congruent triangle?</h3>
Congruent triangles are known as triangles that have the same size, shape and angles.
It is also important to note that the transformation that can map Triangle PQR onto Triangle STU is reflection, then translation. This is so because it is a vital to form of congruent triangles.
There, the transformation that can map triangle PQR onto triangle STU is reflection, then translation. Option D
Learn more about triangles here:
brainly.com/question/14285697
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Answer:
The area would be 170 cubic inches.
Step-by-step explanation:
To find the area, use the area of a trapezoid formula.
A = (a + b)/2*h
Now input the values
A = (18 + 22)/2 * 8.5
A = 40/2 * 8.5
A = 20 * 8.5
A = 170
