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2 years ago

Multiply and simplify.

Mathematics

1 answer:

dem82 [27]2 years ago

3 0

Answer:
48x-112

Explanation:
(3x-7)8•2
(3x-7)•16
48x-112

I hope this helps!

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Skaters room is 5 meters long and 3 1/4 meters wide. What is the area of his room?

nika2105 [10]

I'm not sure but if I guessed it would be 4

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3 years ago

PLLLLLEASE T_T PLLLEASE

maxonik [38]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

let's solve ~

$\qquad \sf \dashrightarrow \: \cfrac{4}{y - 6} + \cfrac{5}{y + 3} = \cfrac{7y - 4}{ {y}^{2} - 3y - 18}$

$\qquad \sf \dashrightarrow \: \cfrac{4(y + 3) + 5(y - 6)}{(y - 6)(y + 3)} = \cfrac{7y - 4}{ {y}^{2} - 3y - 18}$

$\qquad \sf \dashrightarrow \: \cfrac{4y + 12 + 5y - 30}{ {y}^{2} + 3y - 6y - 18 } = \cfrac{7y - 4}{ {y}^{2} - 3y - 18}$

$\qquad \sf \dashrightarrow \: \cfrac{9y - 18}{ {y}^{2} - 3y - 18 } = \cfrac{7y - 4}{ {y}^{2} - 3y - 18}$

$\qquad \sf \dashrightarrow \: 9y - 18 = 7y - 4$

[ denominator is same, so numerator must have same value to be equal ]

$\qquad \sf \dashrightarrow \: 9y - 7y = - 4 + 18$

$\qquad \sf \dashrightarrow \: 2y = 14$

$\qquad \sf \dashrightarrow \: y = 7$

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2 years ago

Of these integers, -65, -42, 65, and 90, which two are farthest apart on the number line?

IceJOKER [234]

Of the integers -65, -42, 65, and 90, the two that are farthest apart on the number line are C) -65 and 90

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3 years ago

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What is the distance between P(12, 4) and Q(-8, 2)

abruzzese [7]

$\huge{\boxed{2 \sqrt{101}}}$

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the points.

Substitute in the points. $\sqrt{(2-4)^2+(-8-12)^2}$

Subtract. $\sqrt{(-2)^2+(-20)^2}$

Solve the exponents. $\sqrt{4+400}$

Add. $\sqrt{404}$

Now, we can simplify this square root just a little bit. $404$ has a square factor of $4$ . $\sqrt{404}=\sqrt{4}*\sqrt{101}$

The square root of $4$ equals $2$ . $\boxed{2 \sqrt{101}}$

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3 years ago

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Need math help for this

Burka [1]

Answer:

<h2>In the attachment</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the equation:

$y-5=-\dfrac{2}{3}(x+9)\\\\y-5=-\dfrac{2}{3}(x-(-9))$

Therefore we have

the slope m = -2/3

and the point (-9, 5)

A slope

$m=\dfrac{rise}{run}$

rise = -2

run = 3

From the point (-9, 5) ⇒ 2 units down and 3 units to the right.

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3 years ago