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Gnom [1K]
3 years ago
13

What is the equation of a line that passes thorough the point (9,-3) and is parallel yo the line whose equation is 2x-3y=6?

Mathematics
2 answers:
schepotkina [342]3 years ago
5 0

Answer:

y+3=2/3(x-9)

Step-by-step explanation:

2x-3y=6

-3y=-2x+6

y=2/3x-2

This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:

y+3=2/3(x-9)

Hope this helps!

inysia [295]3 years ago
5 0

Answer:

y = 2/3 - 9

Step-by-step explanation:

1. rearrange the equation

-3y = -2x + 6

y = 2/3 - 2

2. because it is parallel, the gradient will be the same.  substitute into y - y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2/3 - 6

y = 2/3 - 9

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If the property tax on a 300,000 Is 2,220 what is the tax on a 100,000 home
ikadub [295]

Answer:

SO first you have to divise 300,000 by 2,220 and then multiply it by 100,000.To get 13636363.6364.SO the tax on a 100k home would be about 13636363.6364

Step-by-step explanation:

6 0
3 years ago
Tom's toy box is shown below. The toy box is shaped like a rectangular prism: It has 5 wooden faces and is open on the top.
bazaltina [42]

Answer:

O C 900 square inches

5 0
3 years ago
A customer buys a CD for $15 and a video game. The customer pays a total of $42.80 for the two items, which includes 7% sales ta
kari74 [83]

Answer:

1.07 (15 + x) = 42.80

Step-by-step explanation:

Given data

CD= $15

Let the cost of the video game be x

The total cost= 15+x

Hence the equivalent expression is

1.07 (15 + x) = 42.80

open bracket

16.05+1.07x= 42.80

42.80-16.05= 1.07x

26.75=1.07x

x= 26.75/1.07

x= 25

Check

7% tax for CD

=0.07*15

=1.05

total =1.05+15

=$16.05

7% tax for Video game

=0.07* 25

=1.75

total =1.75+25

=$26.75

In all

=26.75+16.05

=$42.8

4 0
3 years ago
Given the following triangle, if a = 2 and b = 3, find c.<br> √5<br> √10<br> √13
Tems11 [23]
We can use pythagorean theorem:

a^2 + b^2 = c^2

4 + 9 = c^2

13 = c^2

sqrt of 13 = c

Hope this helps!
4 0
3 years ago
Read 2 more answers
3 x one half<br><br><br> three halves<br><br> five sixths<br><br> one sixth<br><br> one half
fomenos

Answer:

three halves

Step-by-step explanation:

1/2 * 3 = 3/2 = 1 1/2 = 1.5

Multiple: 1/2 * 3 = 1 · 3/2 · 1 = 3/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 2) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three = three halfs.

3 0
2 years ago
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