If a rectangle has an area of x^2+x-20 and a width of x-4, what is the length?

Answer:

This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L * W.

Here, the width is x - 4 and the area is x^2 + x - 20.  Dividing the width (x - 4) into the area results in an expression for the length:

x - 4  /   x^2 + x - 20

Let's use synthetic division here.  It's a little faster than long division.

If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:

4   /   1    1    -20

              4     20

    --------------------

         1     5     0

This synthetic division results in a remainder of 0.  This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor.  From the coefficients 1 and 5 we can construct the other factor:  (x - 5).  This (x - 5) represents the length of the rectangle.

Does anyone know both answers?

PLZzzzzzzzxxxxxxxxxxxxxxxxxx

I NEED AN ANSWER ASAP PLS PLS TYSM

(2x-50)
(x+40)
150°
80°
(x+20)



That 80 is not the correct x

Which is the graph of y =(2/x)+2

Henrietta decided to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days, she learns exactly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Henrietta plan to learn each day?

Evaluate the expression for k = -2
46 + -2k
Enter only the simplified numerical value after substituting the
value for the variable and doing the math.

I NEED HELP WITH THIS QUESTION PLZ IF YOUR NICE I WILL THANK YOU ALOT

Perry deposits $175 into a simple interest account. The interest rate for the account is 4.25%. What would his final balance be in his account after 3 years?

Use the area of the rectangle to find the area of the triangle.
5 ft
10 ft
A. The area of the triangle is 25 square feet, because the area of the
rectangle is 25 square feet.
B. The area of the triangle is 25 square feet, because the area of the
rectangle is 50 square feet.
O C. The area of the triangle is 50 square feet, because the area of the
rectangle is 50 square feet
O D. The area of the triangle is 50 square feet, because the area of the
rectangle is 100 square feet

A pastry bag filled with frosting has
height 12 inches and radius 4 inches. A cake decorator can
make 15 flowers using one bag of frosting.
a. How much frosting is in the pastry bag?
Round your answer to the nearest
cubic inch.
b. How many cubic inches of frosting are
used to make each flower?

Help in 2 minutes I need an answer!!

The width of a rectangle is 4cm less than the length. If each dimension were increased by 3cm, the width of the new rectangle formed would be 2/3 the length of the new rectangle. Find the dimensions of the original rectangle.

An adult ticket costs twice as much as a child's ticket. You purchased 5 child tickets and 2 adult tickets and paid $36. Find the price of an adult ticket. Find the price of a child's ticket.

The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:

Which of the following best describes the motion of the car shown?

It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4. Values of p are factors of ✔ -4 . Values of q are factors of ✔ 3 Select all of the potential roots. \pm 4/3 \pm 2/3 \pm 3/4 \pm 2 \pm 4 \pm 3/2 I need help with the second one please <3 Thanks

The maximum or minimum point of a parabola is called the __________.

a
solution

b
vertex

c
independent variable

d
output

Hiiioo! Can someone please help ❤️❤️❤️

16k³+24k² in factorization​

An object is under the influence of a force as represented by the force vs. position graph as
shown in Figure What is the work done as it moves from 0 to 10 m?

which fraction is closest to zero?

a.) 1/4
b.) 4/12
c.) 3/8
d.) 2/6

Help i have 9mins left hell

Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12

i just need the equation!

At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to determine the percent, p, of the ice cream that is chocolate?

Explain why one Columm in the hundredths grid is equal to one Columm in a tenths grid.

x+y=-3
X+Y=7
no solution?

Two students created a tape diagram to represent the following problem: The distance between Rosa's house and her school is 3/4 miles. She ran 1/3 of the way to school.
How many miles did she run Which tape diagram best represents the problem?
1. Tape Diagram A
2. Tape Diagram B

Call has 1,850 books.
She must pack them into
boxes to ship to a
bookstore. Each box will
hold 12 books. How
many boxes will she need
to pack all of the boxes?

PLEASE HELP ASAP!

:(