The ladder resting against the house forms a triangle similar to the one in the image below
To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = x
b = 4
c = 20
^^^Plug these numbers into the theorem
solve for x
+ 16 = 400
= 384
x = 8√6
or
x ≈ 19.5959....
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
<h2>
b = -2</h2>
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = 2
(4, 6) ⇒ x₀ = 4, y₀ = 6
So, the point-slope form of equation:
y - 6 = 2(x - 4)
Changing to the slope-intercept form of the equation of the line (y = mx + b, where m is the slope and b is the y-intercept of the line):
y - 6 = 2x - 8 {add 6 to both sides}
y = 2x - 2 ⇒ b = -2
Because the denominators are same, you can just add the numerators.
First, identify the terms.
23
+6c
+8d
-7d
-6
Now combine like terms. Like terms are terms with the same variable (i.e. 1x and 3x)
23 and -6
6c
8d and -7d
Now combine!
23 - 6 = 17
6c = 6c
8d - 7d = 1d
So the answer is 17 + 6c + 1d
Solve for r.
Use distributive property.
4/4r - 8/4 = r - 2
4/4 can be written as 1 and -8/4 can be written as -2.
r - 2 = r - 2
You have an infinite amount of solutions.
Hope this helps!
