The vertices of rectangle ABCD are A(3, 1), B(-5, 1),

What are the solutions to the quadratic equation 2x^2-8x-24=0

Vinvika [58]

2x^2 - 8x - 24

First, we can factor a 2 out of this expression to simplify it.

2(x^2 - 4x - 12)

Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.

We're gonna try using the AC method first.

List factors of -12.

1 * -12

-1 * 12

2 * -6

-2 * 6 (these digits satisfy the criteria.)

Split the middle term.

2(x^2 - 2x + 6x - 12)

Factor by grouping.

2(x(x - 2) + 6(x - 2)

Rearrange terms.

<h3>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</h3>

7 0

2 years ago

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I have to get this so I pass help plz

pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

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5 0

2 years ago

If A+B = 76 & A -B = 38 What is A/B?

Igoryamba

$A+B=76\\
A-B=38\ \ --->\ \ A=38+B\\\\
38+B+B=76\\
38+2B=76\ \ | subtract\ 38\\2B=38\ \ \ | divide\ by\ 2\\
B=19\\A=57\\\\
\frac{A}{B}=\frac{57}{19}=3$

3 0

3 years ago

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True of false: 1+1 has the same answer as 1x1

Goshia [24]

Answer:

False

Step-by-step explanation:

4 0

2 years ago

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Arati posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she received on the p

zvonat [6]

If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

The multiplier for increasing by 25% is:

(100 + 25) ÷ 100 = 1.25

So on day one, there are 64 responses. That means on day two, there will be:

---> 64 x 1.25 = 80 responses

On day 3, there will be:

---> 80 x 1.25 = 100 responses

Finally, on day 4, there will be:

---> 100 x 1.25 = 125 responses

A quicker way of getting this would be to do:

64 x 1.25³ since you are multiplying by 1.25 3 times

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Answer:

125 responses

5 0

2 years ago