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yanalaym [24]
3 years ago
5

Write an equation of the line in point slope form that passes through (-16, 8) and (4,-2)

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

When the reference point is used in the point-slope form of the equation, the equation should evaluate to ...

... 0 = 0

This is only true for point (-16, 8) using the equation of selection a).

Happily, we also find that point (4, -2) satisfies the equation.

... -2-8 = -1/2(4+16)

... -10 = -1/2(20) . . . . true

The appropriate choice is ...

... a.) y-8 = -1/2(x+16)

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Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for $2.50 and a large mug that she se
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Mary McDonald sold 11 small mugs and 10 large mugs.

Step-by-step explanation:

Given,

Total cost of sold cups = $85

Cost of one small cup = $2.50

Cost of one large cup = $5.75

Cups at the start of day = 215

Cups at the end of day = 194

Cups sold = Cups at the start of day - Cups at end of day

Cups sold = 215 - 194 = 21

Let,

x represents the number of small cups.

y represents the number of large cups.

According to given statement;

x+y=21    Eqn 1

2.50x+5.75y=85    Eqn 2

Multiplying Eqn 1 by 2.50

2.50(x+y=21)\\2.50x+2.50y=52.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(2.50x+5.75y)-(2.50x+2.50y)=85-52.50\\2.50x+5.75y-2.50x-2.50y=32.50\\3.25y=32.50

Dividing both sides by 3.25

\frac{3.25y}{3.25}=\frac{32.50}{3.25}\\y=10

Putting in Eqn 1

x+10=21\\x=21-10\\x=11

Mary McDonald sold 11 small mugs and 10 large mugs.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

#LearnwithBrainly

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The solutions to the equation 2x + x-1 = 2are X= -3/2 or x=<br> PLEASE HELP FAST
Savatey [412]

Answer:

1

Step-by-step explanation:

2x^2 + x -1 = 2

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or x-1 = 0

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