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
Bezzdna [24]
3 years ago
7

the length of a rectangle is 7 yd less than three times the width, and the area of the rectangle is 66 yd(squared). find the dim

ensions of the rectangle.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0
So legnt=l
width=w
l=-7+3w
l=3w-7

area=66
area=legnth times width or
area=lw

subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))

(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this

w-6=0
add 6
w=6

width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11


width=6
legnth=11

You might be interested in
What is 10 to the negative 8 power
raketka [301]

Answer:

0.000000001

Hope This Helps!  Have A Nice Day!!

5 0
3 years ago
Taylor dropped a rubber ball from a height of 8 feet.The ball hit the ground after 1 second,bounced up to 5 feet in the next sec
Rzqust [24]

Answer:

The graph is constant in the interval [4,6]

Step-by-step explanation:

We are given that,

Taylor dropped a rubber ball from a height of 8 feet.

So, at time t= 0 sec, the ball is being thrown.

Now, the next events follows as below:

1. After a second, the ball hits the ground.

2. It bounces up to 5 feet in the next second.

3. The ball again hits the ground in the next second.

4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.

So, we get the figure given below, we see that,

The graph is constant in the interval [4,6].

3 0
3 years ago
Given circle and circle with radii of 6cm and 4cm respectively.
noname [10]

Solution :

Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

\angle EAF = \theta = 140^\circ

The length of arc EF = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$

                                    = 14.653 cm

In circle C

\angle GCH = \theta = 140^\circ

The length of arc GH = $2 \pi r \times \frac{\theta}{360^\circ}$

                                   $=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

                             

6 0
3 years ago
Find a formula for the distance from the point​ P(x,y,z) to each of the following planes. a. Find the distance from​ P(x,y,z) to
BARSIC [14]

Answer:

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

Step-by-step explanation:

The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z

Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

7 0
3 years ago
Find three consecutive even numbers whose sum is 42.<br> ​
ra1l [238]

Answer:chicken banana ckae

8 0
3 years ago
Read 2 more answers
Other questions:
  • The product of 6 and c
    9·1 answer
  • The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 1
    6·2 answers
  • Complete the proof of the Law of Sines/Cosines.
    13·1 answer
  • Please solve this equation 916 1/10 x 4 =
    13·1 answer
  • Use synthetic division and the Remainder Theorem to find P(a).
    6·1 answer
  • Total deviationequals​_______ deviationplus​_______ deviation choose the correct answer below.
    11·2 answers
  • Graph the linear equation
    9·1 answer
  • Answer each question and explain your reasoning.
    5·2 answers
  • Hep me please this is to much
    11·2 answers
  • Consider the system of linear equations y=3x+5 y=Mx+b Which values an M &amp; B will create a system of linear equations with no
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!