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svlad2 [7]
2 years ago
6

Solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Mathematics
1 answer:
melisa1 [442]2 years ago
3 0

Answer:

\boxed{\sf{y=-50 \quad x=3}}

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

<h3>y=-15x-5 and 11x+y=-17</h3>

First, you have to substitute.

\sf{y=-15x-5=11x-15x-5=-17}

Then, you solve.

\sf{-4x-5=-17}

Add by 5 from both sides.

-4x-5+5=-17+5

Solve.

-17+5=-12

-4x=-12

Divide by -4 from both sides.

-4x/-4=-12/-4

Solve.

-12/-4=3

<u>x=3</u>

y=-15*3-5


Solve.

PEMDAS stands for:

  • Parenthesis
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

15*3=45

Rewrite the problem down.

y=-45-5

Solve.

<u>y=-50</u>

<u>Therefore, the correct answer is y=-50 and x=3.</u>

I hope this helps you! Let me know if my answer is wrong or not.  

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aev [14]

Problem 1, part (a)

<h3>Answer: False</h3>

For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.

====================================================

Problem 1, part (b)

<h3>Answer: true</h3>

This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.

====================================================

Problem 2

I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.

4 0
2 years ago
Wiil mark bianleast plz plz hlpe
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Answer:

18 since 12 x 2 = 24 so 9 x 2 = 18

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the number three and eight tenths as a decimal.
natali 33 [55]

Answer:

3.8

Step-by-step explanation:

3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8

7 0
2 years ago
Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.
grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

m=\frac{6-4}{3+3}

m=\frac{2}{6}

simplify

m_a=\frac{1}{3}

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

m=\frac{3+3}{-8+10}

m=\frac{6}{2}

m_b=3

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

m=\frac{-4-5}{3-0}

m=\frac{-9}{3}

m_c=-3

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

m=\frac{-4+7}{13-4}

m=\frac{3}{9}

simplify

m_d=\frac{1}{3}

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

m_a=\frac{1}{3}

m_b=3

m_c=-3

m_d=\frac{1}{3}

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0
3 years ago
A sheet of metal is 9 inches longer than it is wide, and its total area is 252 square inches. Find the dimensions of the sheet o
erastova [34]
(9+w)w=252 or w(w+9)=252.
The quadratic equation applies: w²+9w-252=0=(w+21)(w-12), so w=12, because a negative zero is meaningless.
So the dimensions are width=12 in and length=21 in.
7 0
3 years ago
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