So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.
First we need to find our slope, to do this we take the change in y over the change in x like so:
(15-12)/(4-7) = - 3/4
The slope perpendicular to this is 4/3.
Just plug in 4 for the x
2*4 +4y =36
8+4y =36
4y =36-8
4y=28
y= 28/4
y=7
Y+4=-3(x-2)
y+4=-3x+6
y=-3x+2 and slope is -3
Rules of exponents and the distributive property apply.
(x+y)² = (x+y)·(x+y) . . . . . meaning of exponent of 2
= x·(x+y) +y·(x+y) . . . . . . . distributive property
= x·x +x·y +y·x +y·y . . . . . distributive property
= x² +x·y +x·y +y² . . . . . . meaning of exponent of 2, commutative property of multiplication
= x² +(1+1)·x·y +y² . . . . . . distributive property
= x²+2xy+y² . . . . . . . . . the desired form
Thus
(x+y)² = x²+2xy+y²
Hi!
length = l = 2 * width = 2 * w
Area = l * w = l * 2 * l = 2 * l^2
2 * l^2 = 72
l^2 = 72/2 = 36
l = square root of 36
l = 6
l = 2 * w => w = l/2 = 6/2 = 3
Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet
Hope this helps!
