Answer:
= (y - 4x) (y - 7)
Step-by-step explanation:
y^2-4xy-7y+28x
--
factor out y from y^2 - 4x : y(y - 4x)
factor out 7 from 28x - 7y : 7(4x - y)
= y (y - 4x) + 7(4x - y)
7 (4x - y) + 7(y - 4x)
= y (y - 4x) - 7(y - 4x)
= (y - 4x) (y - 7)
Answer:
8
Step-by-step explanation:
hypotenuse = c = 17 feet
Height = a = 9 feet + 6 feet = 15 feet
Children's space = b
a^2 + b^2 = c^2
15^2 + b^2 = 17^2
225 + b^2 = 289 Subtract 225 from both sides
225-225+b^2=289-225
b^2 = 64 Take the square root of both sides.
sqrt(b^2) = sqrt(64)
b = 8
Since each child takes up 1 foot, 8 children can sit on side b.
C=2(3.14159...)R
You’re given the circumference, so all you need to do is plug that in and simplify.
36=2(3.14159...)R
36=6.28R
36/6.28=R
R is about 5.73
To find the perimeter, you would add all the sides. Because we know the perimeter, we can represent this as an equation that needs solved.
362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
-2 -2
<u>360</u> = <u>6x</u>, divide both sides by 6
6 6
x = 60 feet
side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet
check your work: 60 + 120 + 182 = 362 feet