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Paraphin [41]
3 years ago
13

the length of a rectangle is 5 inches more then the width. the area of the rectangle is equal to 2 inches more than 4 times the

perimeter. Find the length and width of the rectangle
Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0
P = 2(L + W)
L = W + 5
A = 4P + 2

P = 2(W + 5 + W)
P = 2(2W + 5)
P = 4W + 10

A = 4P + 2
A = 4(4W + 10) + 2
A = 16W + 42

A = L * W
A = W(W + 5)
A = W^2 + 5W

W^2 + 5W = 16W + 42
W^2 + 5W - 16W - 42 = 0
W^2 - 11W - 42 = 0
(W + 3)(W - 14) = 0

W - 14 = 0
W = 14 <==

L = W + 5
L = 14 + 5
L = 19 <==

P = 2(19 + 14)
P = 2(33)
P = 66

A = L * W
A = 19 * 14
A = 266

answer : length = 19, width = 14....perimeter = 66....area = 266
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Stels [109]
X is the number
<span>The sum of two numbers is 11, so other number is : 11 - x

</span><span>The sum of their squares is 65
</span>
x^2 + (11 - x)^2 = 65
x^2 + 121 - 2(x)(11) + x^2 = 65
2x^2 - 22x + 121 = 65
2x^2 - 22x + 121 -  65 = 0
2x^2 - 22x + 56 = 0
2(x^2 - 11x + 28) = 0
2(x - 7)(x -4 ) = 0
x - 7 = 0
x = 7

x - 4 =0
x =4

answer: the numbers are 4 and 7

double check:

<span>sum of two numbers is 11:
4 + 7 = 11

</span><span>The sum of their squares is 65
</span><span>4^2 + 17^2 = 16 + 49 = 65

</span>
7 0
3 years ago
for which of the following would it be appropriate to use positive integers for the domain of the function? select all that appl
Novosadov [1.4K]
Domain is the x-values. 

Scenarios where positive integers are appropriately used for the domain of the function:

<span>The function c(p) represents The cost for P people to attend the movies. (number of people can either be 0 going upwards)

</span><span>the function m(t) represents the miles driven over T hours (hours always start with 1.)

</span><span>the function t(m) represents the average high temperature for a given number of months (number of months always start with 1)

</span><span>the function p(w) represents the prophet of a farmer who sells whole watermelons (count of whole watermelon starts with 1)
</span>
<span>the function h(n) represents the number of person-hours it takes to assemble n engines in a factory (number of engines always start with 1)</span>
7 0
3 years ago
Read 2 more answers
What is the area of the following circle if the diameter is 2?
gulaghasi [49]

Answer:

Area of a circle=πr²

radius is half of the diameter

1/2×2=1

π1²

22/7×1

3.1415926535897932

~3.14

7 0
2 years ago
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥
gregori [183]

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

6 0
3 years ago
Hi hottie, pls help me !
yulyashka [42]

Answer:

1200

0.65

The answers are in the function

6 0
3 years ago
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