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2 years ago

SO CLOSE! A system of two equations is shown below:

Mathematics

2 answers:

kap26 [50]2 years ago

8 0

3b+6 is the answer for this

12345 [234]2 years ago

3 0

3b+6

If you make both equations equal each other, you can then solve the system of equations.

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FEE

frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

$\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)$

$y+2=\frac{3}{4}\left(x+4\right)$

Thus, the equation in the point-slope form of the line equation is:

$y+2=\frac{3}{4}\left(x+4\right)$

Simplifying the equation

$y+2=\frac{3}{4}\left(x+4\right)$

Subtract 3 from both sides

$y+2-2=\frac{3}{4}\left(x+4\right)-2$

$y=\frac{3}{4}x+1$

Multiplying the equation by 4

$4y = 3x + 4$

$3x - 4y = -4$

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

$y+2=\frac{3}{4}\left(x+4\right)$

$3x - 4y = -4$

7 0

2 years ago

During game play, Juan threw 2 darts onto the board.

OlgaM077 [116]

Answer:

likely, impossible, unlikely

Step-by-step explanation:

8 0

2 years ago

I am not sure how sigma notation works, can somebody explain how to solve this? It isn't the second choice.

Masja [62]

Answer:

first answer is correct

Step-by-step explanation:

Hello, we want to write 2 + 4 + 6 + ... + 20

for n = 1, 2n = 2*1 =2

for n = 2, 2n = 2*2=4

for n = 3, 2n=2*3=6

etc

$\displaystyle \sum_{n=1}^{10} {2n} = 2*1 + 2*2 +2*3+2*4+...+2*10=2+4+6+8+...+20$

thanks

6 0

2 years ago

16ml=________mg what is 16 milliliters as milligrams

statuscvo [17]

There is 1 gram is a milliliter and grams to milligrams is 16,000
so 16,000 is your answer

3 0

2 years ago

Read 2 more answers

The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent trucks, and it will cost an additi

Inga [223]

Let C represent the total cost (in dollars),
and let S represent the amount of sugar (in tons) transported

equation:
C(s) = 225s + 7500

find the total cost to transport 11 tons of sugar.
C(11) = 225(11) + 7500
C(11) = 2475 + 7500
C(11) = 9975

hope it helps

7 0

2 years ago