1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snezhnost [94]
3 years ago
5

One side of a rectangle is 4 inches longer than the other side. The area of the rectangle is 21 square inches. Find the lengths

of each side.
Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

l = 7 in; w = 3 in

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

Data:

A = 21 in²

l = w + 4

Calculation:

                 21 = (w + 4) × w

                 21 = w² + 4w

w² + 4w - 21 = 0

(w + 7)(w - 3) = 0

w + 7 = 0     w - 3 = 0

      w = -7         w = 3

We reject the negative value, so w = 3 in.

21 = l × 3

l = 7

The rectangle is 7 in long and 3 in wide.

You might be interested in
dan can clean an attic in 13 hours. Imani can clean the same attic in 14 hours. Find how long it would take them if they worked
monitta
13.5

14+13=27
27÷2=13.5
7 0
3 years ago
What is the equation of the line shown in the graph? (-3,1) (2,-4)
ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

4 0
2 years ago
A number added to 3 is equal to negative 5, find the number​
anzhelika [568]

Answer:

-8

Step-by-step explanation:

An equation at represents this situation is:

-5 = 3 + x

Find x by;

-5 - 3 = -8

So x is -8:

-5 = 3 + -8 (TRUE)

Hope this helps

6 0
3 years ago
Read 2 more answers
Complete the table to describe the model. The model will have a verbal description, a division expression, and a fraction.
NARA [144]

Answer:

what I dont even know whT your talking about. could you please explain your question a bit more?? then maybe I could help you out

5 0
3 years ago
Find the unit rate for miles per hour. Round to the nearest hundredth if necessary. A cyclist rides 65 miles in 3 hours.
Natasha2012 [34]

22 (rounded to the nearest one)

4 0
3 years ago
Other questions:
  • Start at 125 create a pattern that subtracts 6 from each number stop when you have 5 numbers
    12·2 answers
  • 2v+46=8(v-1)<br><br><br><br> I got -54/10 which I know is wrong. Please help.
    10·1 answer
  • The US Department of Transportation announces that of the 250 million registered passenger vehicles in the US, 2.1% are electro-
    11·1 answer
  • x = y - 3 x + 3y = 13 What is the solution to the system of equations? A) (1, 4) B) (4, 1) C) (7, 4) D) (2.5, 5.5)
    8·1 answer
  • Heeelpppppppp fasttttttttttttt!!!!!!!!!!!!!!!!
    7·1 answer
  • Factor the polynomial by grouping: 12x^3-28x^2-15x+35
    5·1 answer
  • While walking in his neighborhood, Donnie found 2 dimes and 2 pennies on the ground . What percent of a dollar did Donnie find ?
    15·2 answers
  • $220 marked up 60% ????????????????????????
    15·1 answer
  • Anyone know this?? it’s finding the sine of a triangle!!
    14·2 answers
  • Is -0.25 rattional or irrational
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!