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3 years ago

9. When (2x – 3)2 is subtracted from 5x2

Mathematics

2 answers:

IceJOKER [234]3 years ago

5 0

Answer:

Step-by-step explanation:

Radda [10]3 years ago

3 0

Hope this will help u....

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A factory is to be built on a lot measuring 210 ft by 280 ft. A local building code specifies that a lawn of uniform width and e

Tresset [83]

Answer:

Width of lawn = 35 ft

Dimensions of factory = length: 210 ft, width: 140 ft

Step-by-step explanation:

The total area of the lot can be calculated as:

$A_{lot} = 210 * 280\\A_{lot} = 58800 ft^{2}$

Since, the area of factory should be equal to area of lawn:

$A_{lot} = A_{factory} + A_{lawn}\\58800 = 2 A_{factory or lawn}\\\\A_{factory or lawn} = \frac{58800}{2}\\A_{factory or lawn} = 29400 ft^{2}$

Now, let 'x' be the width of lawn, the dimensions of factory can be written as:

$(210-2x)\\(280-2x)\\$

Since, area is equal to length x width:

$(210-2x)*(280-2x) = 29400\\Simplifying:\\210*280 - 210*2x - 2x*280 + 4x^{2} = 29400\\58800 - 420x - 560x +4x^{2} = 29400\\4x^{2} - 980x +58800 = 29400\\4x^{2} - 980x + 29400 = 0\\$

Divide whole equation by 4,

$x^{2} - 245 + 7350 = 0\\$

Solving above quadratic equation, we get,

$x = 210\\x = 35\\$

x = 35 seems realistic width of the lawn.

Now, finding the dimension of factory:

$(210-2x) = 210 - 2(35) = 140 ft\\(280-2x) = 280 - 2(35) = 210ft$

We can also reconfirm the area of factory by multiplying the above two lengths:

140 * 210 = 29400 ft

8 0

3 years ago

PLEASE HELP IM CRYING

saw5 [17]

Answer

It's a equal amount on the other side of the line as it is on one side

Step-by-step explanation:

(0,4) (1,-3) (1,-4) (0,-5) Look at the middle of the red line then count out from the right side of the line and see how far it is away then count away from the middle to the left side of the line.

Check my answers to make sure they are right.

P.S. I hate IXL.

8 0

3 years ago

To find the quotient of 8➗1/3, multiply 8 by o 1/8 o 1/3 o 3 o 8

Travka [436]

The answer is 3. 8 divided by 1/3 is 24 and 8 times 3 is 24

3 0

3 years ago

Read 2 more answers

Which pair of numbers is relatively prime?

podryga [215]

Relatively prime means having no factors in common.

I will start by checking if they have the factor "3" in common: it's easy to check: the sum of its digit needs to be divisible by 3:

a. 72 And 115

7+2=9
1+1+5=7

not true that both are divisible by 3
b. 120 And 835
1+2=3
8+3+5=16


not true that both are divisible by 3
but, they're both divisible by 5! (0 or 5 at the end)
not relatively prime

 c. 201 And 735

2+1=3
7+3+5=15

both are divisible by 3!

d. 303 And 1041

3+3=6
1+4+1=6

both divisible by 3

the answer is a)

4 0

4 years ago

Read 2 more answers

A triangle has a base of 54 cm the height is unknown complete the equation that can be used to find the area of the triangle giv

Nikitich [7]

Answer:

A = 27H cm^2.

Step-by-step explanation:

The area of a triangle = 1/2 * base * height.

Here we have the area A = 1/2 * 54 * H.

A = 27H cm^2.

6 0

3 years ago