Answer:
<u>The storage unit is 20 feet long.</u>
Step-by-step explanation:
1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:
With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.
Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²
Replacing with the real values:
Length of the storage unit ² = 52² - 48²
Length of the storage unit ² = 2,704 - 2,304
Length of the storage unit ² = 400
√Length of the storage unit ² = √400
<u>Length of the storage unit = 20 feet</u>
Answer:
(-2,3)
Step-by-step explanation:
For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1
Now, we can use the internal section formula to get the coordinates of this point
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where (m,n) = (2,1)
(x1,y1) = (-4,-1)
(x2,y2) = (5,5)
(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)
(x,y) = (-4-2)/3, (-1 + 10)/3
(x,y) = (-2,3)
(x+1) is a factor of the equation.
Step-by-step explanation:
step 1. make a triangle with the line being the hypotenuse. let a be the base, b the height, and c the hypotenuse.
step 2. a^2 + b^2 = c^2 pythagorean theorem
step 3. 4^2 + 3^2 = c^2
step 4. c^2 = 25
step 5. c = 5 (answer).
