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3 years ago

Identify the domain and range of the relation. (Do not put spaces between the numbers)

Mathematics

1 answer:

V125BC [204]3 years ago

7 0

Answer: domain: [2,3,5,9] . range [5,11,13,20]

Step-by-step explanation: also possible, depending on how the instructor defines the parameters

For domain, find the lowest and highest x values [2,9]

for range, tale the lowest and highest y values [5,20]

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Two planes are 2725 miles apart and are traveling toward each other one plane is traveling 110 mph faster than the other plane T

Licemer1 [7]

Answer:

therefore x = 600 mph

therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph

Step-by-step explanation:

i) Two planes are 2725 miles apart and are travelling towards each other.

ii) One plane is travelling 110 mph faster than the other plane.

iii) the planes pass each other in 2.5 hours

iv) let the speed of one plane be x mph

v) let the speed of another plane be y mph

vi) therefore x - y = 110 mph

vii) and also x + y = 2725/2.5 = 1090

viii) adding the equation in vi) to the equation in vii) we get 2x = 1200

therefore x = 600 mph

ix) therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph

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3 years ago

A rectangular exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to

denpristay [2]

Answer:

Part a) The length of the mat is $12\ ft$

Part b) The area of the mat is $72\ ft^{2}$

Step-by-step explanation:

step 1

Find the length

Let

L-----> the length of the rectangle

W---> the width of the rectangle

we know that

The perimeter of rectangle is

$P=2(L+W)$

$P=36\ ft$

$36=2(L+W)$

$18=(L+W)$ ----> equation A

$L=2W$ -----> equation B

substitute equation B in equation A

$18=(2W+W)$

solve for W

$18=3W$

$W=18/3=6\ ft$

Find the value of L

$L=2(6)=12\ ft$

step 2

Find the area

The area of rectangle is equal to

$A=LW$

substitute the values

$A=(12)(6)=72\ ft^{2}$

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