Answer:
1. x = 39.67
2. x = 15
3. x = 49.29
4. x = -12.8
5. x = 96
6. x = 42
7. x = 36
8. x = 0
9. x = 78
Step-by-step explanation:
Just remember to always isolate the unknown. Here are the solutions to your problem. I will explain each step for the first for you to give you an idea how the others were worked out.
1. 
Add 2 to both sides to get rid of -2 on the left side.
Multiply both sides by 7 to get rid of 7 on the left side.
Divide both sides by 3 to get rid of 3 on the left side.
You could also transpose everything by the x to the other side of the equation. Just remember that whatever OPERATION used on the original side, must be opposite on the other side. I'll use the second problem to show this.
Transpose 1 on the left to the right. It is addition on the left, then it would be subtraction on the other side.
Transpose 5 from the left side to the right. It is division on the left, then it would be multiplication on the right.
Transpose 2 from the left side to the right. It is multiplication on the left, then it would be division on the right.
Let's move on with the rest now.
3.
4.
5.
6.
7.
8.
9.
1.92559524e+14
Step-by-step explanation:
6.47 x 10^-15 and 3.36 x 10^-29 are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:
6.47/3.36 x 10^{[-15-(-29)]}=1.92559524 x 10^{(-15+29)}
Therefore 1.92559524 x 10^{14} or 1.92559524e+14
If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point. That is how you graphically "solve" the system of equations.
Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.
So for y=7x-9, the slope is 7 and the y-intercept is -9
For y=3x-1, the slope is 3 and the y-intercept is -1
....
The solution for this system occurs when both coordinates are equal to each other so we can say:
7x-9=3x-1 subtract 3x from both sides
4x-9=-1 add 9 to both sides
4x=8 divide both sides by 4
x=2, making y=3x-1 become:
y=3(2)-1=6-1=5, so the solution to the system of equations is:
(2,5)
Answer:
Step-by-step explanation:
<u>Original figure:</u> PQRTS
<u>Dilated figure:</u> P'Q'R'S'T'
<u>Take one of the corresponding sides of the figure and find the scale factor:</u>
- SR = 2, S'R' = 4
- Scale factor is 4/2 = 2
<u>The dilation rule as per above is:</u>
Correct option is A
