Answer:
Figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form image quadrilateral P"Q"R"S".
Step-by-step explanation:
From the graph attached,
Coordinates of point T' → (2, -2)
Coordinates of point T'' → (3, -3)
As it's clear form the picture, quadrilateral P'Q'R'S' has been dilated to form the image quadrilateral P"Q"R"S" by a scale factor = k
By the rule,
T'(x, y) → T"(kx, ky)
Therefore, T'(2, -2) → T"(2k, -2k)
T"(2k, -2k) → T"(3, -3)
By comparing x-coordinates,
2k = 3
k =
k = 1.5
Therefore, figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form quadrilateral P"Q"R"S".
Answer:
70
Step-by-step explanation:
k = 6(-5)+100 = -30+100 = 70
Answer: w = 110° x = 83° y = 87° z = 97°
<u>Step-by-step explanation:</u>
∠(x - 13) and ∠w form a linear pair so their sum is equal to 180°
x - 13 + w = 180 → w = -x + 193
∠(x + 10) and ∠y form a linear pair so their sum is equal to 180°
x + 10 + y = 180 → y = -x + 170
∠x and ∠z form a linear pair so their sum is equal to 180°
x + z = 180 → z = 180 - x
∠x and ∠y and ∠w are the angles of a triangle so their sum equals 180°
x + y + w = 180
x + (-x + 170) + (-x + 193) = 180 Substitution
-x + 263 = 180 Add Like Terms
-x = -83 Subtracted 263 from both sides
x = 83 Divided both sides by -1
w = -x + 193 y = -x + 170 z = 180 - x
w = -83 + 193 y = -83 + 170 z = 180 - 83
w = 110 y = 87 z = 97
Answer:
B
Step-by-step explanation:
It opens downwards, so the parabola is negative. This also means the vertex of the parabola is the highest point, therefore it is a maximum.
Answer:
4
Step-by-step explanation:
8(-1)^4 - 3(-1) - 7
= 8(1)+3-7
=8+3-7
=4