We know that the equation of a line is given by

To find it we need the slope m and a point that the line passes thorugh. In this case we have the point (8,10) but we don't know the slope. What we know is that the line we are looking for is parallel to the line

We also know that for two lines to be parallel they have the same slope. Then, if we fin the slope of the line y=2x-5, we have the slope of the line we are looking for. To find the slope of the line y=2x-5 we note that it is written in the slope-intercept form

From this we know that the slope is multiplying the x variable when it is written in that form. Hence m=2.
Then the line we are looking for has an slope of 2 and passes through the point (8,10). Pluggin the values in the equation of a line we have.

Writting it in the slope intercept form we have

Then the line parallel to y=2x-5 and passes through the point (8,10) is
Given that the difference between the roots of the equation

is

.
Recall that the sum of roots of a quadratic equation is given by

.
Let the two roots of the equation be

and

, then

. . . (1)
Also recall that the product of the two roots of a quadratic equation is given by

, thus:

. . . (2)
From (1), we have:

Substituting for alpha into (2), gives:
Answer: C
Step-by-step explanation:
Angles opposite congruent sides in a triangle are congruent.
Step-by-step explanation:
The number of people to paint the bridge is inversely proportional to the number of hours it takes.
(If there are more people, it will take less time etc.)
9 people can paint the bridge in 5 hours.
=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.
Answer:
E 14/15
Step-by-step explanation:
3/5 = 9/15
1/3 = 5/15