First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y.
-2x+3y=-6
3y=2x-6
y=2/3x-2
From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.
Now we need to use the point (-2,0) to find the equation of the parallel line.
y-y=m(x-x)
Plug in the point coordinates and the slope, and solve for the final equation of the line.
y-0=2/3(x+2)
y=2/3x+ 4/3
1)3(k+5)=-2(3k-6)
3k+15=-6k+12
3k=-6k+12-15
3k=-6k-3
3k+6k=-3
9k=-3
k=-3/9=-1/3
so, k=-1/3
2)1/2r+4=3/4r-3/2
1/2r=3/4r-3/2-4
1/2r=3/4r-11/2
1/2r-3/4r=-11/2
-r/4=-11/2
4*(-r/4)=4*(-11/2)
-r=-22
r=22
3)2a-9=2a+5
2a=2a+5+9
2a=2a+14
2a-2a=14
0=14
no solution
4)8m+2+4m=2(6m+1)
12m+2=12m+2
12m=12m+2-2
12m=12m
12m-12m=0
0=0
true for all m
Answer:
5•x=? and 8•5=40, personal opinion: the left rectangle is most likely a square so if you need to solve it it's 5•5=10
Step-by-step explanation:
A(area)=l (length)•w (width)
just plug in your numbers, in this case it would be 8(length) times 5(width)
i think brainliest is important
Answer: 
Step-by-step explanation:
<h3>
The exercise is:</h3><h3>
"Dana loves rocks! She has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dana's collection?"</h3><h3>
</h3><h3>
</h3>
You can use ratio to compare values.
By definition, ratios can be written in the following form:
In this case, you know that the number of pieces of different rocks that Diana has in her collections, are:
Since you must compare the number of pieces of sandstone and the number of pieces of marble in Dana's collection, you need to write the following ratio:
