X + 11 + 8x = 29. We need to solve for x.
First, on the left side, you have "x" and "8x": You can always add 2 numbers with the same variable, so you have 1 number: x + 8x = 1x + 8x = (1+8)x = 9x
So we get:
9x + 11 = 29
Now subtract 11 from both sides (You can't do any operation if you don't do it both sides), so you can get the variable alone on the left side, and the numbers on the right side:
9x + 11 = 29
9x + 11 - 11 = 29 - 11
9x = 18
Now divide both sides by 9, so you can transform the coefficient of x to one, and have the numeric value of x on the right side:
9x = 18
(9x)/9 = 18/9
x = 2
So x+11+8x = 29 for x = 2.
You can recheck your answer (very important):
x + 11 + 8x = 2 + 11 + 8*2 = 2 + 11 + 16 = 13 + 16 = 29
The answer has been approved.
Hope this Helps! :)
Answer:
CA=17
Step-by-step explanation:
From given picture we see that A and C are the mid points of sides QR and QS respectively.
We know that line joining mid points of the two sides of triangle is always half of the length of the third side.
So that means:
2*CA=SR
2(3x-1)=5x+4
6x-2=5x+4
6x-5x=4+2
x=6
plug value of x into CA=3x-1
CA=3*6-1=18-1=17
Hence final answer is CA=17
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

Switch the sides

Divide both sides by 2 to isolate y

Now that this equation is in slope-intercept form, we can easily identify that
is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope
. Plug this into
:

<u>2) Determine the y-intercept</u>

Plug in the given point, (4,0)

Subtract both sides by 6

Therefore, -6 is the y-intercept of the line. Plug this into
as b:

I hope this helps!
Answer: f(x) approaches infinity
Step-by-step explanation:
N/A
Subtract 2
y-2=1/2 x
Multiply by 2 to cancel out the denominator and to get 1 in front of x
2(y-2)=x
You can stop there or you can multiply out.
2y-4=x