Answer:
Step-by-step explanation:
The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;
x+5 = 0
x = -5
Next is to generate the remainder.
Substitute x = -5 into the polynomial function
P(x) = x^3 - x^2 - 17x -15
P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15
P(-5) = -125-25+85-15
P(-5) = -150+70
P(-5) = -80
Hence the remainder is -80
Answer:
11.2 ft
Step-by-step explanation:
Assuming the building meets the ground at right angles, the right triangle formed has side length 10 ft and hypotenuse 15 ft. Then the other side length (d) is given by the Pythagorean theorem as ...
d² + 10² = 15²
d² = 225 -100 = 125
d = √125 = 5√5 ≈ 11.2 . . . feet
The bottom of the ladder is about 11.2 feet from the building
Answer:

General Formulas and Concepts:
<u>Calculus</u>
- The derivative of a constant is equal to 0
Step-by-step explanation:
<u>Step 1: Define function</u>
y = 152 + 26 - 37
<u>Step 2: Simplify</u>
<em>Combine like terms</em>
y = 141
<u>Step 3: Find derivative</u>
<em>Derivative of any constant will be 0.</em>
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Answer:
The result is 60
Step-by-step explanation:
We have to use this expression showing BODMAS rule. According to the rule, we must first solve the brackets. In our expression, the term within the bracket is (12-4) squared = (8) squared = 64.
Then we need to perform the addition followed by subtraction.
The expression becomes:
11 squared - 64 + 3
= 121 - 64 + 3
= 124 - 64
= 60
So, the result of the expression is 60.
Answer:
I have to say the first one sorry responded late
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plz give me brainliest i almost got caught in class WHILE HELPING!!!