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
frez [133]
3 years ago
11

The dimensions of a rectangle are such that its length is 3 in more than its width if the length were doubled and if the width w

ere decreased by 1 in the area would be increased by 176in what are the length and width of the rectangle
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Length (L): w + 3            ⇒2(w + 3)

width (w): w                    ⇒ w - 1

Area (A) = L x w

         A = (w + 3)(w)

         A = w² + 3w

*******************************************

       A + 176 = 2(w + 3)(w - 1)

(w² + 3w) + 176 = 2(w + 3)(w - 1)

w² + 3w + 176 = 2w² + 4w - 6

        3w + 176 = w² + 4w - 6

                 176 = w² + w - 6          

                   0 = w² + w - 182

                   0 = (w - 13) (w + 14)

0 = w - 13            0 = w + 14

w = 13                  w = -14

Since width cannot be negative, disregard -14

w = 13

Length (L): w + 3   = (13) + 3   = 16

Answer: width = 13 in, length = 16 in

You might be interested in
P+45267=87012 evaluate
Rainbow [258]
Answer:

p+45267=87012

We move all terms to the left:

p+45267-(87012)=0

We add all the numbers together, and all the variables

p-41745=0

We move all terms containing p to the left, all other terms to the right

p=41745


8 0
3 years ago
13 points plus brainliest to the correct answer!
TEA [102]
The equation of a straight line is given by:

y = mx + c

where m is the slope and c is the y-intercept.

From the given graph, the y-intercept is 1.

The slope of a straight line is given by:

m= \frac{y_2-y_1}{x_2-x_1}

Where (x_1,y_1) and (x_2,y_2) are two points on the line.

From the graph, (0, 1) and (14, 8) are two points on the line, thus:

m= \frac{8-1}{14-0} = \frac{7}{14} = \frac{1}{2}

Therefore, the equation representing the graph is y= \frac{1}{2} x+1
8 0
3 years ago
Read 2 more answers
Adult tickets cost 8 dollars students cost 4 of they sold 30more adult tickets as made 840 dollars how many adult tickets were s
g100num [7]
I do not quite understant
6 0
3 years ago
What is the volume of the cylinder?
Elenna [48]

Answer:

Option D. 882\pi\ units^{3}

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

V=\pi r^{2}h

In this problem we have

r=7\ units

h=18\ units

substitute

V=\pi (7^{2})(18)=882\pi\ units^{3} -----> exact value of the volume

5 0
3 years ago
What is the solution to this system of equations?
amm1812

Answer:

Step-by-step explanation:

(i) x+2y=4

(ii) x=4-2y

(iii) 2x-2y=5  

substituting (ii) in (iii)

2x-2y=5

2(4-2y)-2y=5

8-4y-2y=5

-6y=5-8

-6y=-3

(iv) y=\frac{1}{2}              

substituting (iv) in (ii)

x=4-2y

x=4-2×\frac{1}{2}

x=4-1

x=3

∴ B.(3,\frac{1}{2})

HOPE IT HELPS YOU!!!!

3 0
3 years ago
Other questions:
  • What is the equation of the line described below written in slope-intercept form?
    6·1 answer
  • What is the slope of the line on the graph?
    15·1 answer
  • 2. 18m - 7+ 12m help plz
    6·2 answers
  • SOMEONE HELP ME ITS DUE IN 30 MINSS !
    6·1 answer
  • Find x if y=-2 4x-6/y=15a. 9/2b.5c.3d.-6/23
    15·2 answers
  • Hey can you please help me posted picture of question
    7·2 answers
  • How can you solve 3(x + 2)=9 without distributing the 3?
    12·1 answer
  • Ima houseseller earns a 3% commision for selling a house. if he sells a house for $120000, what is his commision
    11·1 answer
  • 2 3 + x = 3 Can someone pls solve this for me.
    12·1 answer
  • Please I really need help I know it is not A
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!