MATHEMATICS HIGH SCHOOL

when (2x - 3)^2 is subtracted from 5x^2, what is the result? And how can I show the answer? Thank you x

Answers

Answer 1
Answer: 5x^2 - (2x - 3)^2 = 
5x^2 - ((2x - 3)(2x - 3)) =
5x^2 - (4x^2 - 6x - 6x + 9) =
5x^2 - (4x^2 - 12x + 9) =
5x^2 - 4x^2 + 12x - 9 =
x^2 + 12x - 9 <===
Answer 2
Answer: first expand (2x-3)^2
(2x-3)(2x-3)=(2x-3)(2x)+(2x-3)(-3)=4x²-6x-6x+9=4x²-12x+9

so
5x²-(4x²-12x+9)=5x²-4x²+12x-9=x²+12x-9

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Death Valley CA is 282 feet below sea level. Black Mountain, KY is 750 feet above sea level . How many more feet above sea level is Black Mountain than Death Valley?

Answers

From the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Death Valley CA is 282 feet below sea level.

Black Mountain, KY is 750 feet above sea level.

Death Valley (282ft) + 282ft = sea level (0).

0 + 750ft = Black Mountain (750ft).

282ft + 750ft = 1032ft.

From Death Valley to Black Mountain, it rises 1032 feet. Death Valley is 1032 ft lower than Black Mountain in elevation.

Thus, from the Death Valley to Black Mountain, it rises 1032 feet because Death Valley is 1032 ft lower than Black Mountain in elevation.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

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Death Valley (282ft) + 282ft = sea level (0).

0 + 750ft = Black Mountain (750ft).

282ft + 750ft = 1032ft.

It takes 1032ft to get from Death Valley to Black Mountain. Black Mountain is 1032ft more feet above sea level than Death Valley. Hope that helps! :)

Find the greatest common factor (GCF) for 72, 36, and 24.

Answers

12

Working;
12 is a common factor for all the terms.

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?A.–12
B.–1
C.5
D.7

Answers

Answer:

Option B. -1

Step-by-step explanation:

Brandie lives on the twelfth floor of her apartment building.

She walks down 2 flights to visit a friend = 12 - 2 = 10th floor

Then up 3 flights to deliver a message to a neighbor = 10 + 3 = 13th floor

Now Brandie walk to get back to her starting point that is 12th floor, she must walks down 1 flight.

So the answer would be option 'B' -1
B.-1 because she started on the twelfth floor she walks down 2=10 and then back up 3=13 so she has walk down 1 flight to get back.

Find the sum of the given polynomials.ax + by + c, 2ax - 3by + c, and by - c

3ax - by + c
3a + x - bc
3ax + by - cd
bx - 3bc + a

Answers

  ax +  by + c
2ax - 3by + c
            by - c   
3ax - by + c   First Option.

You must align like terms before adding them. This is to ensure that there will be no confusion in getting the sum of the given polynomials.
If you would like to find the sum of the given polynomials, you can do this using the following steps:

ax + by + c + 2ax - 3by + c + by - c = ax + 2ax + by - 3by + by + c + c - c = 3ax - by + c

The correct result would be 3ax - by + c.

shari has 1 1/2 gallons of orange juice. She wants to serve the orange juice equally among her 12 friends. How many ounces of juice will each friend receive

Answers

I got the answer 8 ounces. First you convert the gallons into ounces. There are 64 ounces in a gallon. But then one half of a gallon equals 32 ounces. Add 32+64=96. Then divide the 96 by the 12 friends. You would get 8. And so that is the answer. I hope you found this helpful!

10ft 10ft 16ft height is 8 ft what's the area of a triangle

Answers

Answer:

The area is 64ft ^2.

Step-by-step explanation:

I believe this is an isosceles triangle and if so our base will be 16ft and our height will be 8ft, knowing this we can solve for the area.

Use the form A=bh/2

Now plug it in...

A=16x8/2

A=128/2

A=64ft ^2

Hope this helps :)
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