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11Alexandr11 [23.1K]
3 years ago
8

Mr.Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below. Based

on this week, what solution to the system?
•(-4,-4)
•(0,0)
•no solution
•infinitely many solutions

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer:

infinitely many solutions

Step-by-step explanation:

0 = 0 ← is a true statement.

Indicates that the 2 lines are the same line, that is one lying on top of the other.

Thus the system has an infinite number of solutions

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Y = 2x + 4<br> 6x – 3y = -12<br> System by substitution 10 points
Burka [1]

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

5 0
3 years ago
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How Much Weight Does An Average 17 Year Old Bench
maxonik [38]
It should be 185 pounds. Have a GREAT day!!!!! :)
8 0
3 years ago
Naomi recorded the total weight of different numbers of apples. Her results are shown by using the scatterplot and the trend lin
dybincka [34]

Answer:

It's D. The narrative will change depending on the narrator's tone and point of view.

Step-by-step explanation:

8 0
3 years ago
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The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common
zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

a_n=a_1+d(n-1)

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

so

a_3=9

n=3

substitute

9=a_1+d(3-1)

9=a_1+2d ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

S=\frac{n}{2} [2a_1+(n-1)d]

we have

The sum of the first 8 term is 42

so

S=42

n=8

substitute

42=\frac{8}{2} [2a_1+(8-1)d]

42=4[2a_1+7d]

10.5=2a_1+7d ----> equation B

Solve the system of equations

9=a_1+2d ----> equation A

10.5=2a_1+7d ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

a_1=14\\d=-2.5

The first term is 14

The common difference is -2.5

8 0
3 years ago
What is the perimeter of a sector
Neporo4naja [7]

perimeter of the sector is the sum of the lengths of all its boundaries.thus the perimeter of the sector is L+2r units. θ 360 × 2 π ( r ) + 2 r That would be the length of the arc in the first part and twice the radius in the second part.

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3 years ago
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