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posledela
3 years ago
10

Find an equation of the line perpendicular to Y equals 3X -3 and passes through the point -3 and -1

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

Answer:

y = - \frac{1}{3} x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 1 + c ⇒ c = - 1 - 1 = - 2

y = - \frac{1}{3} x - 2 ← equation of perpendicular line

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Answer:

0.7x/0.8y = x/y * 0.7/0.8 = x/y * 0.875

So the fraction is reduced by 12.5%

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3 years ago
Priscilla can make 4 bracelets in 13 minutes. At this rate, how many bracelets can she make in 26 minutes?
Degger [83]

Answer:

8

Step-by-step explanation:

To find the answer, multiply 4 and 2 together, since 13 is 2 times less than 26.

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Let's double check,

26 ÷ 13 = 2

so,

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3 years ago
What is the solution for -10 < x - 9?
ikadub [295]
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x > - 1

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- 10 < x - 9

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3 years ago
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8 0
3 years ago
Read 2 more answers
The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the ad
antoniya [11.8K]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity  4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

5 0
3 years ago
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