Given that qt is and altitude of triangle qrs and that m

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of segment RS.

Since QT is altitude of our given triangle, so angle QTR and angle QTS are right triangles.

Let us solve for x by equating measure of angle STQ with 90 degrees.

We can see that segment RS is RT plus TS.

Upon substituting , we will get:

Therefore, the length of segment RS is 15 units.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3