To figure this out, we use the Pythagorean theorem;

x=8in and z=√100in
8²+y²=(√100)²
64+y²=100
y²=100-64
y²=36
√(y²)=√36
y=6
The answer is C: 6 in
in plain and short, is just their product.
now, let's convert the mixed fractions to "improper" firstly, and then multiply.

y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)
<em><u>Solution:</u></em>
Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)
The formula y = mx + b is said to be a linear function
Where "m" is the slope of line and "b" is the y - intercept
Let us first find the slope of line


Substituting values we get,

Thus slope of line is m = 3
To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b
3 = 3(2) + b
3 = 6 + b
b = 3 - 6
b = -3
Thus the required equation of linear function is:
Substitute m = 3 and b = -3 in formula
y = mx + b
y = 3x - 3
Thus the equation of linear function is found
To solve this problem, you have to divide the price by the number of gallons.
So 56.25/15 = 3.75
Therefore Genevieve payed $3.75 per gallon