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SVEN [57.7K]
3 years ago
14

Select the quadratic that has roots x=8 and x=-5 a x^2 + 3x -40

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0
If x = 8, then the factor is (x - 8); likewise, if x = -5, then the factor is (x + 5).  FOIL those together and get B
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Please I need someone to help my assignment​
Nadusha1986 [10]
(x-4)² + (x-2)² = x²

(x² - 8x + 16 ) + (x² - 4x + 4) = x

2x² -12x + 20 = x

2x²-12x + 20 - x = 0

2x² - 13x + 20 = 0

(2x-5) (x-4) = 0

2x-5 = 0

2x = 5

x = ⁵/₂


x-4 = 0

x = 4



so x₁ = ⁵/₂ , and x₂ = 4
4 0
2 years ago
Find a side of an equilateral triangle with a 12 inch altitude
saveliy_v [14]
Since the triangle is an equilateral triangle we know all of it's sides must be the same length, with that in mind the angles that make up the triangle must be equal as well. Knowing that a triangle's three interior angles make up 180 degrees we know that the size of each angle must be one third of this (as each angle must be equal).

180/3 = 60


then we may split the triangle along it's altitude into two special right triangles
more specifically two 30-60-90 triangles.

this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"

this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.

12= x*sqrt(3)
12/sqrt(3)=x
4sqrt(3)=x  (simplifying the radical we get "x" equals 4 square root 3)

now we may solve for the side length of the triangle which is "2x"

2*4sqrt(3) ->   8sqrt (3)  

eight square root of three is the answer.
8 0
3 years ago
Using similar triangles, what is x?
Lady bird [3.3K]
\dfrac{x}{2.5}=\dfrac{x+2.4}{2.5+2}\\
\dfrac{x}{2.5}=\dfrac{x+2.4}{4.5}\\
4.5x=2.5(x+2.4)\\
4.5x=2.5x+6\\
2x=6\\
x=3
4 0
3 years ago
Solve for m.<br><br> m + 7 ≥ 20<br><br><br><br> A. m ≥ 27<br> B. m ≥ 13<br> C. 13 ≥ m<br> D. 27 ≥ m
diamong [38]
The answer would be C
7 0
2 years ago
Read 2 more answers
There are three numbers. The first number is twice the second number. The third number is twice the first number. The sum of the
mel-nik [20]

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x  Divide both sides by 3

y = \frac{112 - 2x}{3}

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( \frac{112 - 2x}{3} )

x = (224 - 4x) / 3    Multiply each side by 3.

3x = 224 - 4x         Add 4x to each side

3x + 4x = 224

7x = 224              Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112       Subtract 96 from each side.

y = 112 - 96

y = 16

5 0
3 years ago
Read 2 more answers
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