A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. What is the length of the rectangle? To find the length of the rectangle, use 45x2 − 42x − 48 as the

The length of the rectangle is given as:

(9x + 6)

Step-by-step explanation:

The area of a rectangle is given as:

Length × Width

Area of the rectangle = 45x² − 42x − 48

Width = 5x - 8

We solve for the length of the rectangle by factorising the area of the rectangle

45x² − 42x − 48

45x² - 72x + 30x - 48

(45x² - 72x )+ (30x - 48)

9x(5x - 8) + 6(5x - 8)

(5x - 8)(9x + 6)

Therefore:

The length of the rectangle is given as:

(9x + 6)

To find the length of the rectangle, use 45x2 − 42x − 48 as the  

✔ dividend

and 5x − 8 as the  

✔ divisor  

Step-by-step explanation:

edg2020

step-by-step explanation:

10.50 + taxes which added up to 11.50

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.