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2 years ago

(5x2+4xy-7)+(3x2+2xy+3)

Mathematics

1 answer:

Mrac [35]2 years ago

8 0

Answer:

2 ( 4x² + 3xy - 2 )

Step-by-step explanation:

( 5x² + 4xy - 7 ) + ( 3x² + 2xy + 3 )

5x² + 4xy - 7 + 3x² + 2xy + 3

Combine like terms.

5x² + 3x² + 4xy + 2xy - 7 + 3

8x² + 6xy - 4

Factorize the answer.

2 ( 4x² + 3xy - 2 )

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3) Consider a triangle with side lengths 5 and 13. What are the possibilities for the third side if the

mars1129 [50]

Answer:

find the square of both numbers

13²=169

5²=25

minus the square

169-25 to get 144

find the square root of 144

✓144=12 the third side is 12

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3 years ago

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(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +

jekas [21]

Answer:

1. The slope of the line is $m=\frac{-2b+3}{2a}$ .

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

$m=\frac{-b-(b-3)}{a+3-(-a+3)}$

$m=\frac{-b-b+3}{a+3+a-3)}$

$m=\frac{-2b+3}{2a}$

The slope of the line is $m=\frac{-2b+3}{2a}$ .

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

$m_1=\frac{5-1}{6-a}=\frac{4}{6-a}$

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

$m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}$

The slopes of two parallel lines are same.

$m_1=m_2$

$\frac{4}{6-a}=\frac{-6}{a}$

On cross multiplication we get

$4a=-6(6-a)$

$4a=-36+6a$

$4a-6a=-36$

$-2a=-36$

Divide both sides by -2.

$a=18$

Therefore the value of a is 18.

8 0

3 years ago

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free throws, fi

olga55 [171]

Answer: 21
4/7 = 12/x

Multiply each side by x, so the x drops out on right side:
(4/7)x = 12
Distribute x:
4x/7 = 12

Multiply each side by 7, so the 7 drops out on left side:
4x = 84

Divide:
x = 84/4
x = 21

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4 years ago

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Find 2a for a = 3 1/4. 23 1/4 6 1/4 6 1/2 5 1/2

-BARSIC- [3]

Answer:

6 $\frac{1}{2}$

Step-by-step explanation:

you are adding 3 1/4 to 3 1/4 which is 6 2/4 or 6 1/2

or you can multiply 13/4 by 2 to get 26/4 or 13/2 which, again, is 6 1/2

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3 years ago

How do you do this fraction

JulsSmile [24]

The answer to the question is 11/14

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