MATHEMATICS MIDDLE SCHOOL

Which equation is related to the equation shown?x + 3 = 12





A.


x = 12 + 3


B.


x = 12 ÷ 3


C.


x = 12 − 3


D.


x = 12 • 3

Answers

Answer 1
Answer:

The answer is:

C) x = 12 - 3

Work/explanation:

To solve, subtract 3 on each side:

\rightarrow\hspace{13} \sf{x+3 = 12}\n\n\n\rightarrow\hspace{13}\sf{x=12-3}\n\n\n\rightarrow\hspace{13}\sf{x=9}

The equation that is related to the equation shown is x = 12 - 3.
Answer 2
Answer: C, because it's the opposite of the actual equation.

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Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3

Answers

we have that
A(-2,-4)  B(8,1) 

let
M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
        2                     3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure

Solve the following system of equations.
2x + 5y = 19
x - 2y = - 4​

Answers

Answer:

Step-by-step explanation:

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2x + 5y = 19

x - 2y = -4

Multiply the second equation by 2

2x - 4y = -8

Now we have:

2x + 5y = 19

2x - 4y = -8

Subtract the second eq from the first to get:

9y = 27

/ 9

y = 3

Now substitute this value into one of the first equations

x - 2(3) = -4

x - 6 = -4

x = 2

Thus, your answer would be option B

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How many solutions does the equation have? If you answer correctly you get a good amount of points, please give a good detailed answer to receive all points.4x+2(x-3) = 8x+12

Answers

there is one solution because x has a power of 1
if u want to solve it:
4x+2x-6= 8x+12
6x-6= 8x+12
2x+12=-6
2x=-18
x=-9
4x + 2x - 6 = 8x + 12 | -8x + 6
-2x = 18 | ÷ (-2)
x = -9
that's it :)

Solve this system by using substitution:
 
y=7x-10
y=-3

Answers

lets use substitution
y=7x-10
y=-3

so 
-3=7x-10
7=7x
1=x

now lets check
y=7(1)-10
y=-3

therefore both equations have the same value

Which list is ordered from least to greatest?A. -0.04, -0.042, -0.4, -0.42
B. -0.4, -0..4, -0.42, -0.042
C. -0.042, -0.04, -0.4, -0.42
D. -0.42, -0.4, -0.042, -0.04

Answers

i think it's D because the farther you are away from the 0 which is left the least you are and the closer you are to the 0 which is going on to the right the greatest you are. hope it help

Please help with these math questions

Answers

3) A
slope= (y2-y1)/(x2-x1)
(1--5)/(4-1)
6/3=2

4) 5/8
slope= (y2-y1)/(x2-x1)
(-1-4)/(-8-0)
-5/-8=5/8

5) 1/2
2x-4y=10
Change it into slope intercept form
-4y=-2x+10
y=1/2x-10/4
slope=m=1/2

Hope this helps. 
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