MATHEMATICS HIGH SCHOOL

Select the equation of the line that passes through the point (2, 6) and is perpendicular to the line x = 4.

Answers

Answer 1
Answer: Perpendicular lines have opposite reciprocal slopes. 

x = 4 has a slope of undefined since it is a vertical line.

It's undefined because 1/0 = undefined. We can't divide by 0.

The opposite reciprical of 1/0 is -0/1, which equals to 0.

Any line with a slope of 0 is:

y = 0x + b
y = b

This line goes through the point of (2, 6).

Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).

6 is in the y-value.

The equation of the perpendicular line is y = 6.

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I REALLY NEED HELP WITH THIS I HAVE NO CLUE WHAT IM DOING PLEASE HELP!!!!!!!!!!!!! F(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4. what is f(x)-g(x)? show all of your steps and write your final answer in factored form

Answers

f(x)=9x³+2x²-5x+4
g(x)=5x³-7x+4

f(x)-g(x)=(9x³+2x²-5x+4)-(5x³-7x+4)=
=9x³+2x²-5x+4-5x³+7x-4=
=(9x³-5x³)+2x²+(-5x+7x)-4=
=4x³+2x²+2x-4

Answer; f(x)-g(x)=4x³+2x²+2x-4

A faucet leaks 4 oz. of water per minute. How many gallons of water are wasted in a year? (128 oz. = 1 gallon)

Answers

Answer:   16,425   gallons are wasted a year

Step-by-step explanation:

First find out how many minutes there  are in a year then multiply it by how much oz the faucet leaks every years then convert it into gallons.

There are 525,600 minutes in a year now multiply it by 4.

525,600 * 4 = 2,102,400  So there are more than 2 million oz  wasted in a year so now convert it to gallons.

If there are 128 oz for every gallons the divide 2,102,400 by 128 to find out how many gallons are wasted a year.

2,102,400 / 128 = 16,425

Final answer:

The faucet wastes 16,425 gallons of water in a year by leaking 4 oz. per minute. This is calculated by first determining the total ounces of water wasted in a year, and then converting it into gallons.

Explanation:

The question wants to know how many gallons of water are wasted in a year by a faucet that leaks 4 oz. of water per minute. To solve this, let's first convert everything into consistent units, and then use simple multiplication to find the answer.

 

First, remember that there are 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Thus, the faucet wastes 4 * 60 * 24 * 365 = 2,102,400 ounces of water in a year.

Now, convert this to gallons. We know that 1 gallon = 128 ounces. Therefore, the faucet wastes 2,102,400 / 128 = 16,425 gallons of water in a year.

Learn more about Water waste calculation here:

brainly.com/question/34334003

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You are completing ywr math homework of 16 problems. Yo complete 75% before. dinner. How many do yw have left to complete?

Answers

Answer:

4

Step-by-step explanation:

16/4 = 4

25% = 4

50% = 8

75% = 12

100% = 16

What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?mm2

Answers

158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=2(wl+hl+hw) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)

Rectangle ABCD is similar to rectangle EFGH. Side CD is proportional to side ___.A.EF
B.FG
C.GH
D.HE

Answers

If the rectangle ABCD is similar to rectangle EFGH, side CD is proportional to the side

C. GH

The order of the letters in naming the rectangle gives us which sides are adjacent  in rectangle and which sides correspond to the other rectangle.

Answer: C. GH

Step-by-step explanation:

Given: Rectangle ABCD is similar to rectangle EFGH.

Side AB is corresponding to EF  [First two letters]

Side BC is corresponding to FG [Middle two letters]

Side CD is corresponding to GH [Last two letters]

Side AD is corresponding to EH [First and last letter]

We know that the corresponding sides of the similar figures are proportional.

Therefore, we can see that Side CD is proportional to side  GH.

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?A: none
B: one
C: three
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B is correct

Answers

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