Answer:
w=59 y=59 z=53 x=121 v=121
Step-by-step explanation:
inside a triangle the angles should add up to 180 so you can easily do 180-31 -90 to find w then with that you can find the rest and also w is equal to y cause theyre vertical angles
Answer:
-41.6
Step-by-step explanation:
Formula for the area of a circle: A = pi * r^2
A semi-circle is half of a circle. So, we will need to divide the area of the total circle by 2 to find the area of a semi-circle.
r = d / 2
r = 6 / 2 = 3
A = pi * 9
A = 9pi
Semi-circle:
A = 9pi / 2
A = 4.5 pi cm^2 or 14.14 cm^2
Hope this helps!! :)
Answer:
178
Step-by-step explanation:
√31684 = 178
Answer: Choice A
y = -3(x+2)^2 + 10
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Work Shown:
y = -3x^2-12x-2 is in the form y = ax^2+bx+c with
a = -3
b = -12
c = -2
The x coordinate of the vertex is
h = -b/(2a)
h = -(-12)/(2*(-3))
h = 12/(-6)
h = -2
We'll plug this into the original equation to find the corresponding y coordinate of the vertex.
y = -3x^2-12x-2
y = -3(-2)^2-12(-2)-2
y = 10
So k = 10 is the y coordinate of the vertex.
Overall, the vertex is (h,k) = (-2,10)
Meaning that we go from this general vertex form
y = a(x-h)^2 + k
to this
y = -3(x - (-2))^2 + 10
y = -3(x+2)^2 + 10
