Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
The mathematical equation for volume of a cylinder is pi times radius Squared Times height
The radius squared is 36
So 3.14 x 36 =113.04
Then you multiply 113.04 x 7 = 719.28.
Round that number and you get to 791.3.
So the answer is c
Step-by-step explanation:
jdjssnnajxsnanandjsu
Answer:
x < 5
Step-by-step explanation:
2 x +8 < 18
Subtract 8 from each side
2x+8-8 < 18 -8
2x< 10
Divide by 2
2x/2 < 10/2
x < 5
