Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
- y - (-8) = 3(x - (-2))
- y + 8 = 3(x + 2)
- y + 8 = 3x + 6
- y = 3x - 2
The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
Answer:
288 pi or 904.22
Step-by-step explanation:
(4/3) × pi × r³
(4/3) × pi × 6³
288pi or
288 × 3.14 = 904.32 units³
Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
Answer:
5/16
Step-by-step explanation:
As you can see in the 16 given possible outcomes, in 5 of them at least 3 coins land facing up. Since there are 16 outcomes in total, the probability that at least three coins land facing up is 5/16. Hope this helps!
The correct answer is 16.7
Hope this helped :)
