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posledela
3 years ago
8

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

y = (1/2)x - 21/2

Step-by-step explanation:

since both lines are parallel, both have the slope 1/2.

Start with the equation y = mx + b, and find b, when m = 1/2, x = 9 and y = -6:

-6 = (1/2)(9) + b

Mult. all terms by 2 removes the fractional coefficient 1/2:

-12 = 9 + 2b.

Then -21 = 2b, and b = -10 1/2, or -21/2.

The equation of the line is y = (1/2)x - 21/2.

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Every evening Jenna empties her pockets
rodikova [14]

Answer:

15

Step-by-step explanation:

1 dime = 10

1 quarter=25

x=number of coins - dimes

y= number of coins - quarters

x (10)+y(25)=10.25

x+y=50

x= 50-y

x(10)+y(25)=1025

(50-y)(10)+25y =1025

500-10y+25y=1025

500+15y=1025

15y= 1025 - 500

15y=525

y=525/15

y=35

x= 50-35=15

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2 years ago
What is the slope of the line passing through points A and B?
masya89 [10]

Answer: 2/4 simplified to 1/2

Step-by-step explanation:

7 0
2 years ago
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bearhunter [10]
First make the 2 fractions to one common denominator,
10/40 and 8/40 and add them,
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3 0
3 years ago
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Am I correct for 2 and 3?
Novay_Z [31]

yes. you are correct

8 0
3 years ago
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50x+30y= 550 what is x and y
melomori [17]

Answer:

<u>x = 8 and y = 5</u>

Step-by-step explanation:

The question is as following:

what is x and y for the following system of equations:

50x + 30 y = 550 ⇒ (1)

44x + 36 y = 532 ⇒ (2)

Subtract (1) - (2)

∴ 6x - 6y = 18

Divide both sides by 6

∴ x - y = 3

∴ x = 3 + y  ⇒ (3)

Substitute with the value of x at (1)

50(3+y) + 30y = 550

Solve for y

150 + 50y + 30y = 550

80y = 550 - 150 = 400

∴ y = 400/80 = 5

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∴ x = 3 + y = 3 + 5 = 8

<u>So, x = 8 and y = 5</u>

8 0
3 years ago
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