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3 years ago

Y intercept 3 and slope -3/4

Mathematics

2 answers:

koban [17]3 years ago

6 0

Answer:

Y=-3/4x+3

Step-by-step explanation:

Y=mx+b, m is the slope and b is the intercept.

stira [4]3 years ago

4 0

Y=-3/4x+3
hope this helps :)

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What is the volume of the prism?

Nikitich [7]

Answer:

24 m³

Step-by-step explanation:

We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .

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3 years ago

-3x - 3y = 3, -5x + y =13 System of Equations

Nataliya [291]

Answer:

( $\frac{-7}{3}$ , $\frac{4}{3}$ )

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x= $\frac{-7}{3}$

now we need to find y

remember: y=5x+13

substitute $\frac{-7}{3}$ as x in y=5x+13

y=5( $\frac{-7}{3}$ )+13

multiply

y= $\frac{-35}{3}$ +13

add

y= $\frac{4}{3}$

So the answer is x= $\frac{-7}{3}$ , y= $\frac{4}{3}$ . As a point, it's ( $\frac{-7}{3}$ , $\frac{4}{3}$ )

Hope this helps! :)

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4 years ago