Answer:
x = ± 2
Step-by-step explanation:
Given
12 - x² = 0 ( add x² to both sides )
12 = x² or
x² = 12 ( take the square root of both sides )
x = ±
= ±
= ± 2
Answer:
366
Step-by-step explanation:
A garden table and bench cost 816 when combined together
The garden table cost 84 less than the bench
Therefore the price of the bench can be calculated as follows
x + (x+84)= 816
2x+84= 816
2x= 816-84
2x= 732
Divide both sides by 2
x= 732/2
= 366
Hence the price of the bench is 366
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!