MATHEMATICS HIGH SCHOOL

How do I factor
4x^3 - 6x^2 - 28x
show work please​

Answers

Answer 1
Answer: 4x^3 - 6x^2 - 28x

2x (x + 2) (2x - 7)

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What is the product? (X+1)(x+4)

What are the values of x in the equation x(x-6)=4(x+6)

Answers

x(x-6)=4(x+6)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\n\nx(x)+x(-6)=4(x)+4(6)\n\nx^2-6x=4x+24\ \ \ \ |subtract\ 4x\ and\ 24\ from\ both\ sides\n\nx^2-10x-24=0\n\nx^2-12x+2x-24=0\n\nx(x-12)+2(x-12)=0\iff(x-12)(x+2)=0\n\ntherefore\n\nx-12=0\ or\ x+2=0\n\nAnswer:\boxed{x=12\ or\ x=-2}
        x(x - 6) = 4(x + 6)
    x(x) - x(6) = 4(x) + 4(6)
         x² - 6x = 4x + 24
             - 4x  - 4x        
       x² - 10x = 24
x² - 10x - 24 = 24 - 24
x² - 10x - 24 = 0
x = -(-10) +/- √((-10) - 4(1)(-24))
                         2(1)
x = 10 +/- √(100 + 96)
                   2
x = 10 +/- √(196)
                2
x = 10 +/- 14
            2
x = 5 + 7
x = 5 + 7    U    x = 5 - 7
x = 12               x = -2
The values of x in the equation is either equal to 12 or -2.

AB= 12m, BC= 16 cm and AD= 13 m.
Find the area of the shaded region.​

Answers

Answer:

100π - (96 + (13/2)√231 ) m^2

Step-by-step explanation:

We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.

There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.

Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.

so 144 + 256 = 400

√400 = 20

So diameter is 20

Finding the area of the top triangle:

1/2(12x16) = 96cm^2

For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.

400 = 169 + DC^2

DC^2 = 231

DC = √231

so the area of the bottom triangle is 1/2(13√231) = (13/2)√231

Now we add the area of the triangles for the quadrilateral and subtract from the circle area.

The circle area is 100π (πr^2)

Hence, the area of the shaded region is:

100π - (96 + (13/2)√231 ) m^2

PLEASE PLEASE HELP ME IM ALMOST DONE WITH IT DONT BE SHY IM DYING

Answers

0.79 is the probability answer. Please vote my answer brainliest! Thanks.

Answer:

Umm what did you say anyway. I did not understand.

A company is deciding which box to use for theirmerchandise. The first box measures 8 inches by 6.25 inches
by 10.5 inches. The second box measures 9 inches by 5.5
inches by 11.75 inches. Which box required more material to
make?

Answers

Total surface area of first box = 2(8 * 6.25) + 2(8 * 10.5) + 2(6.25 * 10.5) = 2(50) + 2(84) + 2(65.625) = 100 + 168 + 131.25 = 399.25 sq. ins

Total surface area of second box = 2(9 * 5.5) + 2(9 * 11.75) + 2(5.5 * 11.75) = 2(49.5) + 2(105.75) + 2(64.625) = 99 + 211.5 + 129.25 = 439.75 sq. ins

Hence, the second box requires more material to make.

Identify which property of equality is used to transform Equation 1 to Equation 2.Equation 1: x – 6 = 14
Equation 2: x = 20

A.
multiplication property of equality

B.
division property of equality

C.
subtraction property of equality

D.
addition property of equality

Answers

D. addition property of equality

That will be your 100% sure answer!

Answer:

\boxed{D.}

Step-by-step explanation:

On A.- Multiplication property of equality is multiplying both sides of an equation by the same number it does not change the equation.

______________________________________________________

On B. - Division property of equality is dividing both sides of an equation by the same non-zero number it does not change the equation.

________________________________________________________

On C.- Subtraction property of equality is subtracting the same number from both sides of an equation it does not change the equation.

________________________________________________________

On D.- Addition property of equality is adding the same number to both sides of an equation it does not change the equation.

x-6=14

First you had to add by six from both sides of an equation form.

x-6+6=14+6

Then simplify by equation.

x=20

Final answer: \boxed{x=20}

_______________________________________________________

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

The Ferris wheel makes 12 revolutions per ride how far would someone travel during one ride

Answers

question how much distance is in each revolvison
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