All categories

3 years ago

A. Find the value of x that maximizes the area of the figure.

Mathematics

1 answer:

amm18123 years ago

5 0

Step-by-step explanation:

the area is

$A=\frac{(12+12-4x)(x+2)}{2}\\=2(6-x)(x+2)\\=-2x^2+8x+24\\=-2(x^2-4x+4)+32\\=-2(x-2)^2+32$

will max if

a. x = 2

and the max area is

b 32

You might be interested in

Lori is running in a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run

Mila [183]

Answer:

lori has run 2.62 miles

Step-by-step explanation:

Do 26.2/10

4 0

2 years ago

Complete the Steps to Solve for x.<br><br> -0.57x+0.27x =8.1

IgorLugansk [536]

Answer:

x=-27

Step-by-step explanation:

-0.57x+0.27x = 8.1

-0.3x = 8.1

x = -8.1/0.3

x = -27

6 0

3 years ago

Read 2 more answers

3(x-2)+2(x+1)=-14<br> plz show work

Rom4ik [11]

Hello!

First, let's write the problem.
$3\left(x-2\right)+2\left(x+1\right)=-14$
Apply the distributive property on the left side of the equation.
$=3x-6+2x+2$
Add like terms.
$=5x-4$
Let's plug that in into the original equation.
$5x-4=-14$
Add 4 to both sides.
$5x-4+4=-14+4$
$5x=-10$
Divide both sides by 5.
$\frac{5x}{5}=\frac{-10}{5}$

Our final answer would be,
$x=-2$

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

5 0

3 years ago

Read 2 more answers

The area of a rectangle is 144 square centimeters. The width is 9 centimeters. Which of the following statements is true? Select

Ket [755]

Answer:

Option C and D are correct.

Step-by-step explanation:

Area of rectangle = 144 cm^2

Width of rectangle = 9 cm

Length of rectangle = ?

We know,

Area of rectangle = Length * Width

144 = Length * 9

144/9 = Length

=> length = 16 cm

Option A is incorrect as 3 times width = 3* 9 = 27 but our length = 16 cm

Option B is incorrect as length = 16 cm and not 63 cm

Option C is correct as Length < 2(Width)

=> 16 < 2(9) => 16 < 18 which is true.

Option D is correct.

Perimeter = 2(Length + Width)

Perimeter = 2(16+9)

Perimeter = 50 cm

Option E is incorrect as Length ≠ Width

6 0

3 years ago

Read 2 more answers

tony buy 3 packages of gum. each package has 5 packs of gum.each pack of gumhas 10 pieces in it how many pieces of gum are in al

marin [14]

1 pack has 5 seperate packs, each with 10 pieces
=>50 pieces
50*3=150 pieces of gum

5 0

3 years ago