Answer:
y = -3(x+2)^2 - 6
Step-by-step explanation:
y = a(x+2)^2 -6
-18 = a(-2)^2 - 6
-12 = 4a
a = -3
y = -3(x+2)^2 - 6
Answer:
Step-by-step explanation:
The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 30° angle is (12√6)÷2 = 6/√6.
The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.
The sides of a 45-45-90 triangle are in the ratio 1:1:√2
The hypotenuse is 3√2, so the side opposite the 45° angle is 3.
x = 3
Answer:
≈283.33333
Step-by-step explanation:
V=lwh/3
10 · 10 · 8.5 /3
<h2>≈283.33333</h2>
Answer:
Step-by-step explanation:
1) 97 + x = 64 + 27 {Exterior angle property}
97 + x = 91
x = 91 - 97
x = -6
2) 4x + 17 + 80 + x + 23 = 180 {Angle sum property of triangle}
4x + x + 17 +80 + 23 = 180
5x + 140 = 180
5x = 180 - 140
5x = 40
x = 40/5
x = 8