Answer:
12 feet
Step-by-step explanation:
As a ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e
P²+B²= H²
Where,
'P' is perpendicular i.e the distance from the top of the ladder to the ground
'B' is base i.e be the distance from the bottom of the ladder to the house
'H' is hypotenuse i.e 13
considering 'x' as perpendicular
So, base would be 'x-7'
Applying Pythagoras theorem,
x² + (x-7)²= 13²
x² +x² -14x +49 =169
2x² -14x -120= 0
x² -7x -60=0 ----> solving the quadratic equation
x² + 5x -12x-60=0
x(x+5) -12(x+5)=0
Either : x+5=0 => x=-5
OR: x-12=0 => x=12
We'll choose the positive length.
therefore , The distance from the bottom of the ladder to the house is 12 feet
Perimeter is the addition of all 4 sides and a square as all the same sides. so every side will be the same. so if you divide 216 by 4 you get 54. you can check this by adding 54+54+54+54=216 or 54x4=216
Answer:
Step-by-step explanation:
we have to use the formula of slope here.
we know,
slope of the line passing through (x1,y1) and (x2,y2) is-
Here, the first two points are -
(-4 , 5) and (0,6)
So, the slope will be-
So, the slope is-
First, set up the equation using the point-slope formula (y-y1)=m(x-x1).
y1=-4 x1=-3 m=-7/2
(y+4)=-7/2(x+3)
Second, distribute -7/2.
(y+4)=(-7/2)x - 21/2
Third, subtract 4 from both sides.
(y+4)=(-7/2)x - 21/2
-4 -4
______________
y=(-7/2)x - 29/2
Answer:
C
Step-by-step explanation:
