All categories

3 years ago

The following table shows the length and width of two rectangles:

Mathematics

2 answers:

Irina-Kira [14]3 years ago

8 0

The correct answer is 4x-10

Svetlanka [38]3 years ago

3 0

Answer:

Option A $(4x-10)$

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

where

L is the length

W is the width

Step 1

Find the perimeter of rectangle A

Substitute the values

$PA=2((2x+4)+(x-1))$

$PA=2(3x+3)$

$PA=(6x+6)\ units$

Step 2

Find the perimeter of rectangle B

Substitute the values

$PB=2((3x+1)+(2x-3))$

$PB=2(5x-2)$

$PB=(10x-4)\ units$

Step 3

Find the result of the perimeter of rectangle B minus the perimeter of rectangle A

$PB-PA=(10x-4)-(6x+6)=(4x-10)\ units$

You might be interested in

What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)?<br> 3<br> 6<br> 112<br> 121

MAXImum [283]

Answer:

121

Step-by-step explanation:

Given

f(x) = - (x + 8)(x - 14) ← expand factors using FOIL

= - (x² - 6x - 112) ← distribute by - 1

= - x² + 6x + 112

Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

f(x) = - x² + 6x + 112 ← is in standard form

with a = - 1 and b = 6, thus

$x_{vertex}$ = - $\frac{6}{-2}$ = 3

Substitute x = 3 into f(x) for corresponding value of y

f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121

vertex = (3, 121 ) ← with y = 121

6 0

3 years ago

Read 2 more answers

nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people shou

Olegator [25]

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

$R = \dfrac{36}{50}$

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

$\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468$

Therefore, number of smiles Nathan expect to return is 468.

4 0

2 years ago

George has two dogs.

Stella [2.4K]

Uhhhhhhhhhhhhhhhhhhhhhhhh

7 0

2 years ago

Read 2 more answers

What is the radius of a circle in it in if the area is 36m²?

allsm [11]

Answer:

B. 3.39 m

Step-by-step explanation:

r² = A/π

= 36/3.14

= 11.465

r = √11.465 = 3.39

4 0

2 years ago

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are re

Anna35 [415]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

5 0

3 years ago