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hichkok12 [17]
3 years ago
11

Give the slope-intercept form of the equation of the line that is perpendicular to 5x+2y=12 and contains the point (2, 3)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

y=2/5x+1

Step-by-step explanation:

Change the equation to slope intercept form

5x+2y=12

-5x        -5x

2y=-5x+12

divide by 2

y=-5x/2+6

The slope is -5/2 so, you need to find the reciprocal of that which is 2/5.

that is your new slope.

plot the point (2,3)

next plot another point using the slope and draw a line, connecting them.

where it crosses the y axis will be the "b"

So, y=mx+b is the equation..

m is the slope

b is the y intercept(wherethe line crosses the y axis)

So, y=2/5x+1

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-2x + y = 0 <br><br> -7x + 3y = 2<br> ​
dsp73
This is a system of equations.
First, you set everything in terms of y.
Take the first equation and move set everything equal to y
y=0+2x
Since it’s 0, you don’t need to put it, so
y=2x works.
Then, you plug y=2x into the bottom equation, for the y.
-7x +3(2x)=2. You do this because now you have the same variable for both and it can be solved easily.
Then you can simplify.
-7x+3x = 2
Then combine like terms.
-4x = 2
Divide by -4 on each side.
x = -1/2
So, now that you have x, you can plug in your x-value back into the top equation.
-2(-1/2) + y = 0
Combine like terms
1+y=0
Get y by itself
y=-1
There you have it!
You can check by plugging in both values to any of the equations. We will use the top one here.
-2(-1/2) + (-1) =0
+1 + -1 = 0
It works!
So,
X= -1/2
Y= -1
Please rate me Brainliest answer :)
3 0
3 years ago
Read 2 more answers
What is the relationship between the number of tickets,n, and the total cost of the tickets, c?
enot [183]

Answer:

Step-by-step explanation:

It c just took the test

7 0
3 years ago
An orchard owner wants to plant 64 cherry tree seedlings and 96 peach tree seedlings in rows. Each row is to have the same numbe
-BARSIC- [3]

Answer:

Given:

cherry tree seedlings : 64

peach tree seedlings : 96

64/96 : Simplify this fraction

64 / 8 = 8 / 4 = 2

96 / 8 = 12 / 4 = 3

2 and 3 number of seedlings per row

64 / 2 = 32

96 / 3 = 32

number of rows

The maximum number of rows that the owner can plant is 32 rows with 2 cherry tree seedlings and 3 peach tree seedlings.

5 0
3 years ago
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A rectangular prism has a volume of 1,500
goblinko [34]

Answer:

1500 = 748h

Step-by-step explanation:

Data:

l=34, w=32

Volume=1500

Write an equation of volume of a rectangular prism:

Volume= L x W x H

Substitute Values:

1500=34 x22 x h

Simplify:

1500=748h

7 0
3 years ago
Which fractions are equivalent to 12/15
matrenka [14]

Answer:

4/5                24/30

Step-by-step explanation:

8 0
3 years ago
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