Answer:
(-2, -6)
Step-by-step explanation:
g(x) = (x+2)²-6
= x²+4x+4-6
= x²+4x-3
the vertex :
x = -4/2 = -2
y = (-2+2)²-6 =0-6 = -6
point of vertex : (-2, -6)
Answer:
10
Step-by-step explanation:
We will use trigonometry to solve this problem.
We see that the side provided is the hypotenuse and the side we are looking for is opposite to the angle provided. Thus, we will use sin since sin uses opposite/hypotenuse.
Now we solve.
sin45 = x/14
sin45 * 14 = x
x = 9.899494936611665
Answer:
A is correct because 1 and 3 are vertical angles.
B is correct because there are 180 degrees in a triangle. 180-65-55 = 60. Angle 2 is vertical to the third angle, so angle 2 equals 60.
C is incorrect because it is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 ≠ 60.
D is correct because 3 is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 = 120.
In review, A, B, and D are correct.
I hope this helps you =)
2x-y=0 Y=x-1 2x-x-1=0 x-1=0
Answer:
51.39 units³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of base × height
Here area of base = 5.71 and height = 9, thus
V = 5.71 × 9 = 51.39 units³
