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Sati [7]
3 years ago
7

Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

/3x-4
Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

y+3=\frac{5}{3}(x-9)  or  y=\frac{5}{3}x-18

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

y=\frac{5}{3}x-4

therefore

The slope m of the line parallel to the given line is

m=\frac{5}{3}

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{5}{3}

point\ (9,-3)

substitute

y+3=\frac{5}{3}(x-9) ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

we have

y+3=\frac{5}{3}(x-9)

Isolate the variable y

y+3=\frac{5}{3}x-15

y=\frac{5}{3}x-15-3

y=\frac{5}{3}x-18

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Which ordered pair is in the solution set of 6x + 4y ≤ −2?
Nutka1998 [239]

Answer:

x≤ −2/3y + −1/3

Step-by-step explanation:

because...

Step 1: Add -4y to both sides.

6x + 4y + −4y ≤ −2+−4y

6x ≤ −4y −2

Step 2: Divide both sides by 6.

6x/6 ≤ \frac{-4y-2}{6}

x ≤ −2/3y + −1/3

Therefor, the answer is x≤ −2/3y + −1/3

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4 0
3 years ago
Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
Phantasy [73]

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

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3 years ago
Select all the pieces of the triangle that are marked as congruent in the following picture
nikitadnepr [17]

Answer:

C. D. E. is the correct answer.

Step-by-step explanation:

Hope this helps you. Have a nice day. If you have doubt then please ask in comments.

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5 0
2 years ago
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It takes $8$ cups of chocolate chips to make $12$ cookies. How many cups of chocolate chips will it take to make $15$ cookies? P
Yuri [45]

Hello!!!

Answer:

11 cups of chocolate chips

Step-by-step explanation:

If we use the information we got from the problem we can see that 8 gives us 12. So all we need to do is add more to the orignal number(8) unitll we get 15. So 11 cups gives us 15 cookies.

Have a nice day!!!

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What’s the answer for this question?
qaws [65]

Answer:

d.

Step-by-step explanation:

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16+6/2=22/8=2 3/4

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