What are the factors of 5x2 + 39x − 8?
1 answer:
Answer:
C. (5x - 1)(x + 8)
Step-by-step explanation:
In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:
- <em>Multiply the 5 and -8</em> = -40: <em>this is what we will factor</em>
- <em>The factors with add to 39 are 40 and -1</em>.
- <em>Set up the problem:</em>
Now, we can fo the math:
8(5x - 1) + x(5x - 1)
<em>Factor (5x - 1) from this:</em>
(5x - 1)(x + 8)
And we have our answer.
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If all three side lengths are INTEGERS and form PYTHAGOREAN TRIPLE then we know decimals are not allowed
if 24 and 51 are both legs then
x = 3177
and squre root of that gives us 56.364.... NOT an integer
So that means one of them is not a leg and since hypotenuse is longer than both legs, 51 must be the hypotenuse so to get the third side
![51^{2} - 24^{2} = x^{2}[tex] [tex] x^{2}](https://tex.z-dn.net/?f=%2051%5E%7B2%7D%20-%20%2024%5E%7B2%7D%20%20%3D%20%20x%5E%7B2%7D%5Btex%5D%20%5Btex%5D%20x%5E%7B2%7D%20)
=2025
x=45, leg B
if 24 and 51 are both legs then
x = 3177
and squre root of that gives us 56.364.... NOT an integer
So that means one of them is not a leg and since hypotenuse is longer than both legs, 51 must be the hypotenuse so to get the third side
x=45, leg B
Lets get started :)
The First question:
Diameter = 20 ft
Radius =
of 20 (diameter) = 20 ft
Area formula of a circle is
A =
r²
=(10)²
=100 ft²
≈ 314 ft²
The answer will be the second option
The Second question:
radius of circle = 12mm divided into 20 sectors area
A =r²
=(12)²
= 144 ft²
Divide into 20 equal sector areas =
≈ 22.6 mm²
Your answer will be the third option
The Third Question:
90°, sector area = 36 , Radius = ?
and cancels out
We can now cross multiply
360 × 36 = 90r²
12960 = 90r²
Divide by 90 on either side
144 = r²
Take squareroot
x = 12 in
Your answer will be the third option
The First question:
Diameter = 20 ft
Radius =
Area formula of a circle is
A =
=
=100
≈ 314 ft²
The answer will be the second option
The Second question:
radius of circle = 12mm divided into 20 sectors area
A =
=
= 144
Divide into 20 equal sector areas =
≈ 22.6 mm²
Your answer will be the third option
The Third Question:
90°, sector area = 36
We can now cross multiply
360 × 36 = 90r²
12960 = 90r²
Divide by 90 on either side
144 = r²
Take squareroot
x = 12 in
Your answer will be the third option