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andreyandreev [35.5K]
3 years ago
15

What is the slope of the line? 3(y-1)=2x+2

Mathematics
1 answer:
Aleks [24]3 years ago
3 0

Answer: 2/3

Step-by-step explanation:

3(y-1) = 2x + 2

Expand: 3y - 3 = 2x +  2

Isolate the y by adding 3 to both sides: 3y = 2x +5

Isolate the y by dividing 3 from both sides: y = 2/3x +5/3

Remember, in y = mx + b, m = slope.

So, 2/3 is the slope.

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ZanzabumX [31]

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2 years ago
​ please hurry and answer 55 + 7a = 19
hichkok12 [17]

Answer:

a = -36/7

Step-by-step explanation:

55 + 7a = 19

(55 - 55) + 7a = (19 - 55)

7a = -36

7a/7 = -36/7

a = -36/7  the fraction can't be simplified any further

3 0
3 years ago
Given: <br> PQ<br> ⊥<br> QR<br> , PR=20,<br> SR=11, QS=5<br> Find: The value of PS.
dlinn [17]

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

PQ = √656

PQ = 4√41

Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

PS² = 656 + 25

PS² = 681

PS = 26.09

PS = 26

7 0
3 years ago
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C (y=5x-7)

Step-by-step explanation:

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You then find it's y=5x-7.

8 0
3 years ago
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3 years ago
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