Answer:
Step-by-step explanation:
Given
Find h(x)
Substitute -7 for x
Absolute values return positive. So:
Answer:
56.25 pi cm^2
Step-by-step explanation:
To find the area of the circle,
we use the formula
A = pi r^2, where r is the radius
We know the diameter is 15 so we can find the radius from
r = d/2 where d is the diameter
r = 15/2
A = pi ( 15/2) ^2
A = pi ( 225/4)
A = 56.25 pi cm^2
From the chord theorem we have:
Answer:
8
Step-by-step explanation:
2^3 is the same as 2 x 2 x 2
2 x 2 is 4 and 4 x 2 is 8
so 2^3 is 8
Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.