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Alika [10]
2 years ago
7

What is the solution to the system of equations?

Mathematics
1 answer:
Taya2010 [7]2 years ago
7 0

Answer:

x=-4, y=15

Step-by-step explanation:

3x+y=3

2x+y=7

Multiply top by -1

-3x-y=-3

2x+y=7

Add equations together

-x=4

x=-4

Plug x=-4 into any equation

3(-4)+y=3

-12+y=3

y=15

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I need someone to help me do this, see attached documents for the questions
Brilliant_brown [7]

Answer:

<u><em>1.) 20.2</em></u>

Step-by-step explanation:

1.) You need to use the distance formula:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Find the distance of A to B first:

(-2,2)(3,2)\\\\\sqrt{(3+2)^2+(2-2)^2}\\\\\sqrt{(5)^2+(0)^2}\\\\\sqrt{25} =5

B to C:

(3,2)(-1,-5)\\\\\sqrt{(-1-3)^2+(-5-2)^2}\\\\\sqrt{(-4)^2+(-7)^2}\\\\\sqrt{16+49}\\\\\sqrt{65} =8.06=8.1

C to A:

(-1,-5)(-2,2)\\\\\sqrt{(-2+1)^2+(2+5)^2}\\\\\sqrt{(-1)^2+(7)^2}\\\\\sqrt{1+49}\\\\\sqrt{50}=7.07=7.1

Add distances to find the perimeter:

5+8.1+7.1=20.2

2.) Part A:

You need to use the mid-point formula:

midpoint=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )

(3,2)(7,11)\\\\(\frac{3+7}{2},\frac{2+11}{2})\\\\(\frac{10}{2},\frac{13}{2})\\\\m=(  5,6.5)

Part B:

1. Use the slope-intercept formula:

y=mx+b

M as the slope, b the y-intercept.

Find the slope of the two points A and B using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}

Insert slope as m into equation.

Take point A as coordinates (x,y) and insert into the equation. Solve for the intercept, b:

(y)=m(x)+b

Insert the value of b into the equation.

2.  Use the mid-point coordinate. Take the slope.

If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:

\frac{1}{2} =-\frac{2}{1}=-2\\

Insert the new slope into the slope-intercept equation as m.

Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.

Insert the value of b.

4 0
3 years ago
Surface area of a rectangular prism if W = 6in L = 9in and H = 2in
Delicious77 [7]

Answer:

Step-by-step explanation:

Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.

Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches

4 0
3 years ago
mia hired a moving company, it charged 500$ for service mia give them a 16% tip.How much did she tip the movers.
Novosadov [1.4K]

Answer:

$80

Step-by-step explanation:

First you take 500 and multiply by 16% or .16.

You should get 80.

A tip for the future is when you have a percentage just move the decimal place to the left twice.

ie. 50%=.50, 125%=1.25, 2%=.02

I hope this helps :)

6 0
2 years ago
Read 2 more answers
Simplify to create an equivalent expression <br> -4(-11 + 4n) -3(-2n + 9)
Marizza181 [45]

Answer:

-71 + 22n is the equivalent expression.

This is the simplified expression.

Step-by-step explanation:

4(-11 + 4n) -3(-2n + 9)

= -44 + 16n + 6n - 27

= -44 + 22n - 27

= -71 + 22n

7 0
3 years ago
Read 2 more answers
Need help with this one, please only serious people answer or I’ll report your answer
frutty [35]
Vertical shift is -2. Horizontal shift is 1. Check the box that says reflect over x-axis. Horizontal shrink should be 4. Then to check if it looks right go to Desmos.com and in the graphing calculator put in y=-4(x-1)^2-2 and see if it looks like the one you did in your work
3 0
2 years ago
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