50 dollars per month. It says "after x months" -50x is the variable thats changes.
Answer:
a mathematical sentence thar has an equal sign
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
Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.
-----------------------------------
Add whole numbers.
2x + 1 + 37 + 118 = 180
Add whole number (if there is any).
2x + 38 +118 = 180
Subtract 156 from both sides to have one side have a variable.
2x + 156 = 180
-156 -156
Divide both sides by 2 because you don't need the whole number with the variable.
2x = 24
--- ----
2 2
You get the answer as 12.
x = 12
Check:
2(12) + 1 + 37 + 118 = 180
24 + 1 + 37 + 118 = 180
25 + 37 + 118 = 180
62 + 118 = 180
180 = 180
Answer:
A. 5
B. 12
Step-by-step explanation:
What you do is you substitute -2 into the a and the 3 into the b.
a. 3(-2)^2-5(3)+8 b. 2/3(3)-5(-2)
3(4)-15+8 2-(-10)
12-15+8 12 is your answer.
-3+8
5 is your answer.
