Rotation of triangle JKL by 180 degrees will result in a triangle with corresponding vertices of (2, 4), (3, 2) and (-1, 2).
Then translating the resulting triangle 2 units up will result in a triangle with corresponding vertices (4, -2), (2, -3) and (2, 1) which is the same triangle as the given triangle MNP.
Therefore, the statement that best explains whether △JKL is congruent to △MNP is △JKL is congruent to △MNP because △JKL can be mapped to △MNP by a
rotation of 180° about the origin followed by a translation 2 units up.
Y = a (x + 3)² - 1
Let's take the point (-1;3)
3 = a ( -1 + 3)² - 1
3 = 4a - 1
4a = 4
Therefore a = 4/4 = 1
(x+3)² - 1
= x² + 6x + 9 - 1
= x² + 6x + 8
The answer would be y = x² + 6x + 8.
Hope this helps !
Photon
Answer:
The left side 5
The bottom 10
The slanted side 11
Step-by-step explanation:
To find the perimeter of the triangle, add up the side lengths
x+ 2x+1 + x+5 = 26
Combine like terms
4x+6 = 26
Subtract 6
4x+6-6 =26-6
4x=20
Divide by 4
4x/4 = 20/4
x=4
The left side x = 5
The bottom x+5 = 5+5 = 10
The slanted side = 2x+1 = 2*1 +1 = 10+1 =11
Answer:
D
Step-by-step explanation:
Took the test
Answer: 13
Step-by-step explanation:
<u>Given:</u>
a+b+c, where a=3, b=2, c=7
<u>Solve:</u>
Given
a+b+c
Substitute values into the expression
=(3)+(2)+(7)
Combine like terms
=6+7
=13
