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3 years ago

X² + 4x from 5x² + x

Mathematics

1 answer:

diamong [38]3 years ago

7 0

That is,

(5x sq + x) - (x sq + 4x)

5x sq + x - (x sq + 4x)

5x sq - x sq + x - 4x

4x sq - 3x

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A house blueprint has a scale of 1 in. : 4 ft. The length and width of each room in the actual house are shown in the table. Com

Mariulka [41]

We know that
scale------------> 1 in/4 ft
[blueprint]=scale*[actual]

Part 1) Living room
lenght (20 ft) -------------> [blueprint]=(1/4)*20=5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

Part 2) Kitchen
length (16 ft) -------------> [blueprint]=(1/4)*16=4 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 3) Office
length (8 ft) -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 4) Bedroom 1
length (8 ft) -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 5) Bedroom 2
length (20 ft) -------------> [blueprint]=(1/4)*20=5 in
width (20 ft) ----------------> [blueprint]=(1/4)*20=5 in

Part 6) Bathroom
length (6 ft) -------------> [blueprint]=(1/4)*6=1.5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

see the attached figure to view the table

3 0

4 years ago

Read 2 more answers

12.7 = x – 3.8 help again

PilotLPTM [1.2K]

Answer:

x=16.5

Step-by-step explanation:

12.7 + 3.8 = x - 3.8 + 3.8

16.5 = x

6 0

3 years ago

Read 2 more answers

A monkey collects 60 coconuts and wants to store them in stacks that each contain the same number of coconuts. Describe all the

VikaD [51]

Answer:

1 stack of 60

2 stacks of 30

3 stacks of 20

4 stacks of 15

5 stacks of 12

6 stacks of 10

60 stacks of 1

30 stacks of 2

20 stacks of 3

15 stacks of 4

12 stacks of 5

Prime Factorisation

$60=2^{2}*3*5$

Step-by-step explanation:

To find the number of stacks you can make just divide the total by the size of the stacks. This also works in reverse.

To find the prime factorisation you just find the factors of the number by dividing it by the largest prime possible.

6 0

4 years ago

Integration of dx/3sin^2 -4

Scilla [17]

Answer:

= 1/2 tan^(-1)(2 cot(x)) + constant

Step-by-step explanation:

Take the integral:

integral1/(3 sin^2(x) - 4) dx

Multiply numerator and denominator of 1/(3 sin^2(x) - 4) by -sec^2(x):

= integral-(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) dx

Prepare to substitute u = tan(x). Rewrite -(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) using sec^2(x) = tan^2(x) + 1:

= integral-(sec^2(x))/(tan^2(x) + 4) dx

For the integrand -(sec^2(x))/(tan^2(x) + 4), substitute u = tan(x) and du = sec^2(x) dx:

= integral-1/(u^2 + 4) du

Factor out constants:

= - integral1/(u^2 + 4) du

Factor 4 from the denominator:

= - integral1/(4 (u^2/4 + 1)) du

Factor out constants:

= -1/4 integral1/(u^2/4 + 1) du

For the integrand 1/(u^2/4 + 1), substitute s = u/2 and ds = 1/2 du:

= -1/2 integral1/(s^2 + 1) ds

The integral of 1/(s^2 + 1) is tan^(-1)(s):

= -1/2 tan^(-1)(s) + constant

Substitute back for s = u/2:

= -1/2 tan^(-1)(u/2) + constant

Substitute back for u = tan(x):

= -1/2 tan^(-1)(tan(x)/2) + constant

Which is equivalent for restricted x values to:

Answer: = 1/2 tan^(-1)(2 cot(x)) + constant

6 0

3 years ago

A car is traveling at a speed of 81 miles per hour. What is the car's speed in feet per second? How many feet will the car trave

qaws [65]

1 mile = 5280 feet

81 * 5280 = 427680 feet per hour

1 hour = 3600 seconds

427680 / 3600 = 118.8 feet per second

118.8 * 15 = 1782 feet in 15 seconds

6 0

3 years ago