Answer: 14 miles
Step-by-step explanation:
In the attached figure we can see the two segments the man drove, where the
is the distance of a road that goes from the man's home directly to his work.
It should be noted that
is also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:

Then:

Answer:
The correct answer is A. $729.98.
Step-by-step explanation:
Given that the purchase price for a house is $ 309,900, to determine what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%, the following calculation must be performed:
100 - 20 = 80
(309,900 x 0.80) x 1.06 / (30x12) = X
247,920 x 1.06 / 360 = X
262,795.2 / 360 = X
729.98 = X
Therefore, the monthly payments will be $ 729.98.
1 pt; or 1 pint seems most reasonable here.
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 and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>

Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides

Divide both sides by -2

Now, we can identify clearly that the slope of the given line is
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:

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

Plug in the given point (-6,-8)

Add 3 to both sides to isolate b

Therefore, the y-intercept is -5. Plug this back into
:

I hope this helps!
It’s 25 bc every 2 it goes up 5 dollars