The ladder must be 9.4 ft to reach the top of the building
Here, we want to get the length of the ladder that will reach the top of the building
Firstly, we need a diagrammatic representation
We have this as;
As we can see, we have a right triangle with the hypotenuse being the length of the ladder
We simply will make use of Pythagoras' theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides
Thus, we have;
![\begin{gathered} x^2=5^2+8^2 \\ x^2=\text{ 25 + 64} \\ x^2\text{ = 89} \\ x=\text{ }\sqrt[]{89} \\ x\text{ = 9.4 ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D5%5E2%2B8%5E2%20%5C%5C%20x%5E2%3D%5Ctext%7B%2025%20%2B%2064%7D%20%5C%5C%20x%5E2%5Ctext%7B%20%3D%2089%7D%20%5C%5C%20x%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B89%7D%20%5C%5C%20x%5Ctext%7B%20%3D%209.4%20ft%7D%20%5Cend%7Bgathered%7D)
Answer:
2,-1
Step-by-step explanation:
2x^2 -2x -4 =0
Factor out a 2
2(x^2 -x-2) =0
What 2 number multiply to -2 and add to -1
-2*1 = -2
-2 +1 = -1
2(x-2) (x+1) =0
Using the zero product property
x-2 = 0 x+1 = 0
x-2+2=0+2 x+1-1=0-1
x=2 x=-1
Answer:
(5,0) and (0,3) have a slope of -3/5
Step-by-step explanation:
Here, we want to state a pair of points that have a slope of -3/5
Mathematically, we can have the slope of a straight line calculated as;
m = y2-y1/(x2-x1)
This could give points like (5,0) and (0,3)
Answer:
thought i had it but answer is B......
Step-by-step explanation:
2w+3(2w)=30
8w=30
w=3.75
l=11.25
