What's the equation for the length of a rectangle is twice its width the perimeter of the rectangle is 126 feet

QUESTION POSTED AT 05/12/2019 - 09:00 AM

Answered by admin AT 05/12/2019 - 09:00 AM

P = 2l + 2w
p-2w = 2l
p-2w/2 = l

Substitute the perimeter and you should be able to work it out
Post your answer

Related questions

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25

Answer:

A. Less than 25.

Step-by-step explanation:

Let x represent 3rd side of triangle.

We have been given hat two sides of a triangle have lengths 10 and 15.

We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.

Using triangle inequality theorem, we can set following inequalities:

x+10>15

x+10-10>15-10

x>5

Therefore, the length of third side should be greater than 5.

10+15>x

25>x

x<25

Therefore, the length of third side should be less than 25 and option A is the correct choice.

ANSWERED AT 20/01/2020 - 01:47 PM


QUESTION POSTED AT 20/01/2020 - 01:47 PM

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box?

The volume is 139.80 cubic inches. Solution:

Volume = L x W x H
Volume  = 19 x 1.7 x 6
Volume= 139.80 cubic inches

ANSWERED AT 20/01/2020 - 01:45 PM


QUESTION POSTED AT 20/01/2020 - 01:45 PM

As the marketing designer for Burger King, you are given a 4 in by 6 in logo and have been told to create an advertisement with sides six times larger. What is the area of your advertisement (in feet)? [12 inches = 1 ft]

The area would be 144 square inches. Solution:

Area of logo
Area = L x W
Area = 4 x 6
Area = 24 square inches

Area of Ads
Area = 6 x Logo
Area = 6 x 24
Area = 144 square inches

ANSWERED AT 20/01/2020 - 01:44 PM


QUESTION POSTED AT 20/01/2020 - 01:44 PM

The length of a rectangle is 12 in. more than its width. The perimeter is 64 in. Calculate the length of the rectangle in inches.

Let x = width
x+12 = length

Perimeter of a rectangle, P = 2x+2(x+12) = 64
2x+2x+24=64
4x = 40
x=10
x+12 = 22

therefore, length is 22 in.

ANSWERED AT 20/01/2020 - 01:41 PM


QUESTION POSTED AT 20/01/2020 - 01:41 PM

What is the equation, in standard form, of a parabola that models the values in the table? x~ -2 , 0 , 4 f(x)~ 1 , 5 , -59

The equation can be obtained using microsoft excel, using manual substitution or using the statistics function of the calculator (I recommend Casio Fx 991-ES)

the equation that you will get from this method is initially 

f(x) = y = -3x^2 - 4x + 5

converting this equation to the standard form, we obtain

Standard form: (x-h)^2 = -4a(y-k)

by completing the square

we can obtain

(x + 2/3)^2 = (-1/3)(y - 19/3)

you can recheck your answers by substituing the values

ANSWERED AT 20/01/2020 - 01:40 PM


QUESTION POSTED AT 20/01/2020 - 01:40 PM

Which sentence fully illustrates that polygon ABCD is congruent to polygon PQRS? A. Corresponding pairs of angles on ABCD and PQRS are equal in measure. / B. Corresponding pairs of sides on ABCD and PQRS are equal in length./ C. Polygon ABCD maps to polygon PQRS through a reflection only. / D. Polygon ABCD maps to polygon PQRS through a translation only.

Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. I think, from the choices given, the best answer to illustrate that ABCD is congruent with PQRS is option B. Corresponding pairs of sides on ABCD and PQRS are equal in length.

ANSWERED AT 20/01/2020 - 01:38 PM


QUESTION POSTED AT 20/01/2020 - 01:38 PM

The perimeter of a rectangle is 146 cm. The width is 10 cm longer than twice the length. Find the width

Perimeter of a rectangle = 2L + 2W = 146

"width is 10 longer than twice the length"
translates to
W = 2L + 10
this can be rearranged to be
2L = W - 10

we can plug that into the first equation and get
(W - 10) + 2W = 146

add like terms
3W - 10 = 146

add 10 to both sides
3W = 156

divide both sides by 3
W = 52

therefore the width is 52 cm

ANSWERED AT 20/01/2020 - 01:36 PM


QUESTION POSTED AT 20/01/2020 - 01:36 PM

Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of a. miles he runs. b. months he runs. c. miles he ran the first day. d. calories he burns.

B. Months he runs. f(x) is the total number of miles he runs during each month. He starts with 0.5 miles and adds (+) 2 miles each month. Therefore, x must be the number of months. For example, month 1 (x) he runs 2.5 miles: 2.5 = 0.5 + 2(1); x=1.

ANSWERED AT 20/01/2020 - 01:33 PM


QUESTION POSTED AT 20/01/2020 - 01:33 PM

Write the equation 2x - 3y = 6 in slope-intercept form. A. y = 3/2x + 3 / B. y = 2/3x + 3/ C. y = 2/3x - 2

C.
2x-3y=6
-3y=6-2x
y=6/-3 -2/-3x
y= -2 + 2/3x

y=2/3x - 2

ANSWERED AT 20/01/2020 - 01:31 PM


QUESTION POSTED AT 20/01/2020 - 01:31 PM

A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that is 40.0 meters from the base of the antenna. If the wire makes an angle of 55° with the ground, approximate the length l of the wire. (Round your answer to the nearest tenth.)

It is useful to start by drawing a picture to visualize this problem. 

In this case we are going to use the trigonometric function cosine, which is Cos(theta) = adjacent / hypotenuse. 

Cos(55) = 40 / x 

After simplifying we reach the equation: X = 40 /  cos(55)

which would then make the length of the wire 69.7 meters long. 

ANSWERED AT 20/01/2020 - 01:28 PM


QUESTION POSTED AT 20/01/2020 - 01:28 PM

Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an obtuse triangle. A. 4 B. 5 C. 6 D. 11

Hello,

5<10+x ==> -5<x realized
10<5+x ==> x>5
x<5+10 ==> x<15
==> 5<x<15
==>x=6 or x=11 but for x=11 angle none obtus
==> 1solution x=6 (angle = 130.5416...°)




ANSWERED AT 20/01/2020 - 01:23 PM


QUESTION POSTED AT 20/01/2020 - 01:23 PM

The motion of a simple spring hanging from the ceiling can be modeled with a cosine function. The bottom of the spring has a maximum height of 7 feet 4 inches and a minimum height of 6 feet 2 inches from the floor. It takes 2 seconds for the spring to expand from its minimum length to its maximum length. What is a cosine function that models the spring’s length in inches above and below its average, resting position? Express the model as a function of time in seconds

To get the average resting position of the spring, we must subtract the minimum from the maximum height of the spring with respect to the floor.
So,
7 + (4/12) - [ 6 + (2/12) ] = 1.5 ft

Half of this is where the resting position of the spring is located with respect to the minimum height. If the resting position of the spring is set at 0, then the amplitude of the wave is:
A = 1.5 / 2 = 0.75

Since it takes 2 seconds for the spring to expand from minimum to maximum,
Period = 2 = 2π / n
n = π

The cosine function is:
 y = A cos nt

where y is the distance from the resting position and t is the time in seconds.
y = 0.75 cos πt

ANSWERED AT 20/01/2020 - 01:21 PM


QUESTION POSTED AT 20/01/2020 - 01:21 PM

What is the solution of the equation? 6x – 3 = 5x – 5 A. –4 B. –2 C. 0 D. –1

The answer would be -2. It is computed as follows:
6x - 3 = 5x - 5
6x - 5x = -5 + 3
x = -2

ANSWERED AT 20/01/2020 - 01:17 PM


QUESTION POSTED AT 20/01/2020 - 01:17 PM

Help me understand please ;-; Which shows the equation in standard form? 6y - 12 = -3x Which shows the equation in standard form? 10 - 2(x - y) = 3x + 1

Standard form for first one is
ax+by=c

6y-12=-3x
add 3x both sides
3x+6y-12=0
add 12
3x+6y=12


second one
distribute (don't forget double negative y)
10-2x+2y=3x+1
minus 3x both sides
10-5x+2y=1
minus 10 both sides
-5x+2y=-9



the equations are
3x+6y=12
-5x+2y=-9

ANSWERED AT 20/01/2020 - 01:17 PM


QUESTION POSTED AT 20/01/2020 - 01:17 PM

Which of the following is a solution to the equation y = 3x - 1 ? A. (4,1) B. (2,5) C. (4,3) D. (0, -3)

B. (2,5) you would substitute the x coordinate in for x, which is 2, and the y coordinate in for y, which is 5. So it would be 5=3(2)-1

ANSWERED AT 20/01/2020 - 01:14 PM


QUESTION POSTED AT 20/01/2020 - 01:14 PM

Solve the quadratic equation by completing the square. x2 + 6x + 7 = 0

Hello,

x²+2*3x+3²+7-9=0
==>(x+3)²-2=0
==>(x+3-√2)(x+3+√2)=0
==> x=-3+√2 or x=-3-√2

ANSWERED AT 20/01/2020 - 01:12 PM


QUESTION POSTED AT 20/01/2020 - 01:12 PM

Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true? a) m<1=m<2 b)m<4=m<6 c) m<3+m<5=90 degrees d)m<7=m<8

If the numbering of the angles is similar to this:
1 | 2
-----
3 | 4
5 | 6
----
7 | 8

Then none of the the choices are necessarily true.

The equations would have been:
1 = 4 = 5 = 8
2 = 3 = 6 = 7
3 + 5 = 4 + 6 = 180


ANSWERED AT 20/01/2020 - 01:11 PM


QUESTION POSTED AT 20/01/2020 - 01:11 PM

Solve the equation to deduce the value of r. C=2πr

To solve for r, divide 2Pi to both sides of the equation. You will then get r=C/2Pi.

ANSWERED AT 20/01/2020 - 01:09 PM


QUESTION POSTED AT 20/01/2020 - 01:09 PM

The graph of a system of two linear equations has no solution. What is true about the lines? A. The lines are perpendicular. B. The lines have the same slope, but different intercepts. C. The lines have the same intercept, but different slopes. D. The lines are on top of each other.

B. The lines have the same slope, but different intercepts.

These two lines are parallel to one another, and therefore will have the same slope but different intercepts.

ANSWERED AT 20/01/2020 - 01:07 PM


QUESTION POSTED AT 20/01/2020 - 01:07 PM

#1. Find all solutions to the equation. sin2x + sin x = 0. #2. If sinx (sinx+1) = 0 sinx = 0 sinx = -1, solve for x.

#2. sin x (sin x + 1) = 0
sin x = 0 or sin x + 1 = 0
sin x = 0 or sin x = -1
x= sin^{-1}0  \ or  \ x =  sin^{-1}(-1) \\ x= 0, \  \pi,  \ 2 \pi \ or  \ x= \frac{3 \pi }{2}

ANSWERED AT 20/01/2020 - 01:07 PM


QUESTION POSTED AT 20/01/2020 - 01:07 PM

What is the solution to the equation 9^(x - 2) = 27 ? x = 2.5/ x = 0.5/ x = -0.5 /x = 3.5

Answer:

x=3.5

Step-by-step explanation:

9^{x - 2} = 27

To solve for x , we need to make same base on both sides

9 can be written as 3^2

27 can be written as 3^3

9^{x - 2} = 27

[tex[](3^2)^{x - 2} = 3^3[/tex]

multiply the inside exponent with inside exponent

3^{2(x-2)}= 3^3

Both sides have same base 3

so we equation the exponents

2(x-2)= 3

2x-4= 3

add 4 on both sides

2x=7

divide by 2 on both sides

x=\frac{7}{2} =3.5

ANSWERED AT 20/01/2020 - 01:07 PM


QUESTION POSTED AT 20/01/2020 - 01:07 PM

Solve the equation and find value of 'x' in 2x=(360/4)

2x = 360/4
x = 90 / 2
x = 45

Hope this is the answer you are looking for! 

ANSWERED AT 20/01/2020 - 01:06 PM


QUESTION POSTED AT 20/01/2020 - 01:06 PM

A ball is thrown from an initial height of 7 feet with an initial upward velocity of 17ft/s . The ball's height h (in feet) after seconds t is given by the following. h=7+17t-16t^2 Find all values of t for which the ball's height is 11 feet. Round your answer(s) to the nearest hundredth.

Hello,

-16t²+17t+7=11
==>16t²-17t+4=0
Δ=17²-4*4*16=33
==>t= (17-√33)/32=0.351732... (s)≈0.35 (s)
or t=(17+√33)/32=0.710767 (s)≈0.71 (s)

ANSWERED AT 20/01/2020 - 01:06 PM


QUESTION POSTED AT 20/01/2020 - 01:06 PM

Equation a y= -5x-3 equation b y=4x+5 what statement best compares the graphs of the two equations a both are nonlinear b both are linear c equation a is non linear and equation b is linear d equation a is linear and equation b is nonlinear

Given both equation, we could say that they are both linear equation. Linear equation is define as equations that is having a variable that is on its first power.

ANSWERED AT 20/01/2020 - 01:04 PM


QUESTION POSTED AT 20/01/2020 - 01:04 PM

Find all solutions to the equation in the interval [0, 2π). sin 2x - sin 4x = 0

Sin 2x - sin 4x = 0
sin 2x - 2sin 2x cos 2x = 0
sin x(1 - 2cos 2x) = 0
sin x = 0 or 1 - 2cos 2x = 0
sin x = 0 or 2cos 2x = 1
sin x = 0 or cos 2x = 1/2
x = arc sin 0 or 2x = arc cos (1/2)
x = arc sin 0 or x = 1/2 arc cos (1/2)
x = 0, π, 2π or x = π/6, 7π/6

ANSWERED AT 20/01/2020 - 01:04 PM


QUESTION POSTED AT 20/01/2020 - 01:04 PM

Is the equation true, false, or open? 5x+2=6x+11

Hi Brainiac


5x+2=6x+11

Before we know if it is true or false the first thing we need to do is to solve the equation 


5x+2=6x+11

Combine like terms

5x-6x=11-2

-x=9

Divide both sides by -1

-x/-1 = 9/-1

x=-9


Now we gonna replace -9 everywhere we find x

5x+2=6x+11

5(-9)+2= 6(-9)+11

-45+2 = -54+11

-43 = -43

Yes The equation is true because as you can see the both sides of the equation equal to each other.


I hope that's help and good luck :)

Please if you have question(s) about something you don't really understand you can just ask and I will try my best.


Have a great summer :)

-

ANSWERED AT 20/01/2020 - 01:03 PM


QUESTION POSTED AT 20/01/2020 - 01:03 PM

What's the circumference of a circle with a radius of 7 feet? A) 153.86 feet B) 43.96 C) 21.98 D) None of the above.

The circumference of the circle with 7 feet radius is 43.96 feet. This is computed using the formula in solving the circumference, 2 times Pi times radius. Substituting the values given, circumference is equal to 2 times Pi (3.14) times 7 feet, which give us the answer of 43.96 feet.

ANSWERED AT 20/01/2020 - 01:03 PM


QUESTION POSTED AT 20/01/2020 - 01:03 PM