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Lena [83]
3 years ago
10

the length of a rectangle is 4 feet longer than twice the width of the same rectangle. if the perimeter of the rectangle is 68 f

eet, what are the dimension ( the length and width) of the rectangle?
Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0

Represent the length and width by L and W.  Then L = W + 4.

Using the perimeter formula:  P = 2L + 2W = 68 ft = 2W) + 2(W+4).

Solve for W:  68 = 2W + 2W + 8, or 4W = 60.  Thus, W = 15 and L = 19.

The dimensions of the rectangle are 15 by 19 feet.

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The height of a flare fired from a 32-foot high platform can be modeled by the function h= -16t^2 + 16t + 32, where h is the hei
Amanda [17]

Answer:

Time, t = 2 seconds

Step-by-step explanation:

The height of a flare fired from a 32-foot high platform can be modeled by the function :

h= -16t^2 + 16t + 32

Here, h is the height in feet above the ground and t is the time in seconds.

It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,

h = 0

-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.

4 0
3 years ago
(8x2 - 4x-8)(2x +3x+2)
MArishka [77]

Answer:

(8x2−4x−8)(2x+3x+2)

=(8x2+−4x+−8)(2x+3x+2)

=(8x2)(2x)+(8x2)(3x)+(8x2)(2)+(−4x)(2x)+(−4x)(3x)+(−4x)(2)+(−8)(2x)+(−8)(3x)+(−8)(2)

=16x3+24x3+16x2−8x2−12x2−8x−16x−24x−16

=40x3−4x2−48x−16

Step-by-step explanation:

8 0
3 years ago
Can you pls help? This is a multiple choice, and including the answer can u add a one sentence explanation on why? Tysm! I’ll gi
prohojiy [21]

Answer:

A and D

Step-by-step explanation:

5 0
3 years ago
Which Of the following pairs of functions are inverse of each other?
damaskus [11]

One way is to solve for the inverse of the first function

remember, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f^{-1} (x)

A.

f(x)=x/2+8\\y=x/2+8\\x=y/2+8\\x-8=y/2

2x-16=y

f^{-1}=2x-16

nope, not A

<h3>What is the inverse function?</h3>

The inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by {\displaystyle f^{-1}.}

B.

f(x)=3x^3+16\\y=3x^3+16x=3y^3+16\\x-16=3y^3\\(x-16)/3=y^3

f^{-1}(x)=\sqrt[3]{((x-16)/3)}

nope, not the same

not B

C.

f(x)=18/x-9\\y=18/x-9\\x=18/y-9\\x+9=18/y\\y(x+9)=18\\y=18/(x+9)\\f^{-1}(x)=18/(x+9)

The correct, answer is C.

To learn more about the inverse function visit:

brainly.com/question/2972832

#SPJ1

5 0
2 years ago
{7TH GRADE} Create four (4) problems that include fractions. Solve the problems using estimation.
zaharov [31]

Answer:

Step-by-step explanation:

.

8 0
3 years ago
Read 2 more answers
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