Answer:
radius = 7 units
Step-by-step explanation:
Given:
Radius = 7 units
Find area of 4 circles:
1 circle = π (7)² = 49π units²
4 circles = 49π x 4 = 196π units²
Find radius of sphere:
4πr² = 196π
r² = 49
r = 7
Answer: x = -5/2 and x = -3/2
Step-by-step explanation:
(2x + 5)2 = 4x (x + 5) +25
4x + 10 = 4x² + 20x + 25
[minus 4x on both sides.]
10 = 4x² + 16x + 25
[minus 10 on both sides.]
0 = 4x² + 16x + 15
ac = 4(15) = 60,then find the factors that add up to 16, which is 6 and 10.
0 = 4x² + 6x + 10x + 15
0 = 2x(2x + 3) + 5(2x + 3)
0 = (2x + 5)(2x + 3)
2x + 5 = 0 2x + 3 = 0
2x = -5 2x = -3
x = -5/2 x = -3/2
Answer:
second marble is blue and first marble is white is 
Step-by-step explanation:
given data
two marbles
box = 1 blue, 3 white, 2 green, and 2 red marbles
solution
we get here second marble is blue and given that the first marble is white
= P(3c1 × 1c1) ÷ P(3c1 × 7c1) ................................................1
= 1c1 ÷ 7c1
= 1 ÷ 7
so second marble is blue and first marble is white is
Answer:
(5, -2)
Step-by-step explanation:
Use substitution
Y=5x-27 Put this equation into the place of y in the second one.
2x+3y=4
2x + 3(5x - 27) = 4 then solve for x
2x + 15x - 81 = 4
17x - 81 = 4
17x = 85
x = 5
Then put the value of x back into one of the equations and solve for y
y = 5(5) - 27
y = 25 - 27
y = -2
