In order to solve this, we need to select the function that meets our constraints. Since x^2 - 5 occurs when x is less than 3, and the x-value we are given is -4, we use the first function.
f(-4) = (-4)^2 - 5
f(-4) = 16 - 5
f(-4) = 11
Exact Form: -245/12 , Decimal Form: -20.4166666, or Mixed Number Form: -20 5/12
they're both decimals the only difference is that one of them has a zero in front of the ddecimal
Using the Pythagorean theorem:
a^2 + b^2 = c^2
a and b are the sides and c is the hypotenuse.
The length of the ladder would be the hypotenuse and the base away from the wall would be one side.
So now we have:
5.5^2 + b^2 = 9^2
Simplify:
30.25 + b^2 = 81
Subtract 30.25 from each side:
b^2 = 81 - 30.25
b^2 = 50.75
Take the square root of both sides:
b = √50.75
b = 7.123
Rounded to the nearest tenth of a foot = 7.1 feet.
[|] Answer [|]
[|] Explanation [|]
Solve The Division Problems First:
2 Divided By 5
= 0.4
1 Divided By 8
= 0.125
Compare; Which Is Larger:
V
0.125 0.4
0.4 > 0.125
If you were to graph these two numbers on a number line, you would find that 0.4 is closer to zero, making it the largest number of the two.
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