Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
<u>w = -7/2</u>
Answer:
15
Step-by-step explanation:
Answer:
1.627 miles is the difference
Let the number of seats of the smaller van be "x". Since it travels two times in the morning, it will be 2x. The bigger van has 14 more seats than the small one, so it will be x + 14. To find the value of x, the formula would be,
65 = 2x + x + 14
65 = 3x + 14
65 - 14 = 3x
51 = 3x
51/3 = x
17 = x
The value of x is 17.
Van A = 17 seats + 14 seats = 31 seats
Van B = 2 (17 seats) = 34 seats
Van A has 31 seats for 31 people for a single trip.
Van B has 17 seats, and since it has two trips, it can transport 34 people.
Answer:

Step-by-step explanation:
If the slope of a line is 4/3,
and we wanna find the equation of a line that is parallel to it and crosses through (5,5).
So we already have the slope because the slope of 2 parallel lines are the same.
y = 4/3x
Look at the image below↓
So now we just need to find the y-intercept.
After some numbers we got,

Look at the other image below↓
<em>Thus,</em>
<em>the equation of the parallel line is </em>
.
<em>Hope this helps :)</em>