Answer:
9
Step-by-step explanation:
The equation says y = x + 9
Therefore, y = 9 since x = 0 on the y axis.
Picture of graph also attached :)
Step-by-step explanation:
x-intercept => point (2, 0)
y-intercept => point (0, -4)
The perimeter = 4 * length of a semicircle of radius 5 == 4* pi * 5 = 20 pi cm
The area of one of the clear parts = 1/2 area of square - area semicircle
= 1/2 * 10^2 - 1/2 pi *5^2 = 50 - 12.5pi
So area of shaded parts = area of square - 4 (50 - 12.5pi)
= 100 - 200 + 100pi = (100pi - 100) cm^2
<em>Answer:</em>
( B ) x = 6.5
<em>Step-by-step explanation:</em>
We know that all the angles of a triangle equal 180 when added together. So lets make an equation for this question.
(10x-10) + (10x+8) + 8x = 180
I just took all the angles and added them together to make 180. Now solve for x.
10x - 10 + 10x + 8 + 8x = 180 <em>(combined like terms)</em>
28x -2 = 180 <em>(added 2 to both sides)</em>
28x = 182 <em>(divided both sides by 28)</em>
x = 6.5
Answer:
79.6 cm^3
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
sphere A radius 2 cm so r[A] = 2 cm
sphere B radius 3 cm so r[B] = 3 cm
distance between the surfaces of the 2 spheres is 1 cm
To find volume of each sphere and the difference in volume:
pi r^2 * r - (1/3) pi r^2 * r = (2/3) pi r^3