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2 years ago

Can anyone factor this?? I'm a little lost tysm!!!! 5x^2+12x+4 5x 2 +12x+4

1 answer:

6 0

For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅4=20 and whose sum is b=12.

Factor 12 out of 12x.

5x^2+12(x)+4

Rewrite 12 as 2 plus 10

5x^2+(2+10)x+4

Apply the distributive property.

5x^2+2x+10x+4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(5x^2+2x)+10x+4

Factor out the greatest common factor (GCF) from each group.

x(5x+2)+2(5x+2)

Factor the polynomial by factoring out the greatest common factor, 5x+25x+2.

(5x+2)(x+2)

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Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S

Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = $\sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}$

AC = $\sqrt{(2-4)^2+(1-1)^2} =2$

BC = $\sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}$

For triangle SRT we have

RS = $\sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}$

RT = $\sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2$

ST = $\sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}$

Therefore their dimensions are equal

However the side with length 2 occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0

3 years ago

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Two lines are intersecting. What is the value of x? Enter your answer in the box.

Romashka-Z-Leto [24]

Answer:

x = 19

Step-by-step explanation:

To find the value of x, you set the equations as equal to each other:

$x+23 = 2x+4$

Then you simplify:

$23 = 2x + 4 - x\\23 = x + 4\\23-4 = x\\19=x$

4 0

2 years ago

HELP PLEASE how do i put this into a piecewise function?

Nonamiya [84]

Answer:

Step-by-step explanation:

2 functions start by making a domain

Function 1: -3≤x<1

Function 2: -1≤x≤1

Now come up with equations

Function 1= x+3

Function 2= 5

Now put it all together

f(x)= x+3 for -3≤x<1 and 5 for -1≤x≤1

8 0

2 years ago

What is the solution to the inequality -6( p - 8) < -12?

coldgirl [10]

Answer:

p > 10

Step-by-step explanation:

Given

- 6(p - 8) < - 12

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

p - 8 > 2 ( add 8 to both sides )

p > 10

3 0

3 years ago

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What is the answer to this problem? (15)18+89*56/7= ?

Fiesta28 [93]

Hello there, the answer to your question is:

982

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2 years ago

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