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fomenos
3 years ago
9

A rectangle has a length of 10 inches and a width of 5 inches. If the length is increased by x inches and the width decreased by

twice that amount, express the area of the rectangle as a function of x.
Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

Answer:

f(x) = (x+10) + (5-2x)

Step-by-step explanation:

10 is added to x.

5 subtracts 2x.

Add these together in front of f(x) =

f(x) = (x+10) + (5-2x)

You might be interested in
If the measure of arc AB is 45 degrees and the radius is 12 meters, what is the arc length of arc AB?
dalvyx [7]

Answer:

9.42 m

Step-by-step explanation:

Arc AB = 2πr x (45/360)

           = (2 x 3.14 x 12) / 8

           = 9.42

3 0
3 years ago
Kendrick's Kennel has 2 spots for cats for every 7 spots for dogs. If he has a total of 144 spots for both cats and dogs,then ho
Keith_Richards [23]

Alright, lets get started.

Kendrick's Kennel has 2 spots for cats for every 7 spots for dogs.

Suppose spots for cats = 2x

So, spots for dogs will be = 7x

Total spots for cats and dogs will be = 2x + 7x

Total spots for cats and dogs will be = 9x

As per given in question, total spots for both cats and dogs are 144, so

9x = 144

Dividing 9 in both sides

\frac{9x}{9} =\frac{144}{9}

x = 16

So, spots for cats = 2 * 16 = 32

Spots for dogs = 7 * 16 = 112

So, spots for dogs more than cats are = 112 - 32 = 80

It means he has 80 more spots for dogs than cats.    :    Answer

Hope it will help :)

7 0
4 years ago
The height of a ball dropped from a 160 foot building after 1 seconds is represented by h(t) = 160 - 1612
nadya68 [22]

Answer:

C. 16 feet.

Step-by-step explanation:

<u>How to find the maximum height of a projectile</u>

if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.  

if α = 45°, then the equation may be written as:  

if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

7 0
3 years ago
PLEASE explain your answer! What is the value of q?
andrew-mc [135]

Answer:

The answer two your question is: 2 √14

Step-by-step explanation:

Use proportions to solve this exercise

Work with two triangles  ΔRSQ and ΔRTS

Side RQ = 14

Side RS = q

Side RS = q

Side RT = 4

                     14/q = q/4                            Solve for q

                     56 = q²

                     q = √56

Find prime factors of 56

                   56    2

                   28    2

                   14     2

                     7    7

                     1                     Then 56 = (2²)(2)(7)

                             =  √(2²)(2)(7)

                             = 2 √ 14

                     

7 0
3 years ago
Read 2 more answers
SC Bookmarks
castortr0y [4]

Answer:

Step-by-step explanation:

6 - 2x = 5x - 9x + 10  {add the like terms}

6 - 2x = - 4x + 10        {add (-6) to both side}

6 - 2x - 6 = - 4x + 10 - 6

-2x = - 4x + 4         {add 4x to both sides}

-2x + 4x = -4x + 4 + 4x

2x = 4           {divide both sides by 2}

2x/2x = 4/2

x = 2

3 0
3 years ago
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