Find the equation of the line perpendicular to 4y=x+3 that passes through the point (4,4)

1 answer:

7 0

4y=x+3
y=1/4x +3/4
as perpendicular, gradient is flipped and made into a minus. so is -4.
y=-4x +c
substitute values in to find c
4=-4 (4)+c
4=-16+c
c=20
y=-4x +20

You might be interested in

Ryan is training for a bicycle race.

Artist 52 [7]

B. 6 While Ryan is training for 44 1/2 miles. He needs to find the common denominator of 4/5 and 1/3 = 12/15+ 5/15 =17/15 or 1 and 2/15 x 89/2 which equals 89/15 =5.9 So the estimate of the closest distance is 6.

3 0

3 years ago

Phil strung two sets of lights around the window of his store. The first set of lights blinks every 30s and the second every 45s

Amiraneli [1.4K]

Answer:

Every 90 seconds, the two sets of light blink together.

Step-by-step explanation:

Given that there are two sets of lights.

First light blinks at every 30s and

Second light blinks at every 45s

To find:

How often the sets of lights blink together?

Solution:

As per given statement,

First light blinks after 30s, 60s, 90s, 120s, 150s, 180s, ........

Second light blinks after 45s, 90s, 135s, 180s, .....

If we look at the common time, shown by underlining it, the two sets of light blink at the same time after 90s, 180s, ...... and so on.

So, the two lights blink together after every 90s.

This can also be solved by finding LCM (Least Common Multiple) of the two numbers i.e. 30 and 45.

Let us have a look at the factors of 30 and 45.

30 = 2 $\times$ 3 $\times$ 5

45 = 3 $\times$ 3 $\times$ 5

So, LCM = 2 $\times$ 3 $\times$ 3 $\times$ 5 = 90

So, after every 90s, the lights will blink together.

5 0

3 years ago

What is the sum of any rational number and it's opposite

AnnyKZ [126]

To figure out this problem, you can look at formulas, or you can try out a few problems. There are many people that prefer one or the other in my class, so I will show you both. :)

Before I show you either of these, I'm going to define rational numbers and explain some things so that you can understand why we do what we do. Make sure to remember things like this because when you get to algebra (I'm in algebra), you need to know all of this stuff! :)

A rational number is any number that can be written in a over b form (a/b) or as a fraction. A rational number can be positive or negative because you can put positive and negative numbers into a fraction. Decimals can also be rational numbers because things such as .3 can be written as 3/10. So, depending on what number you have, there is always an opposite.

To find an opposite number, you have to basically find the absolute value (how far the number is from zero), double that number, and add it from the original number. Or, if you want to make it worlds easier, you can just make the number the opposite inverse. So, if it is -4, the opposite is 4. If the number is 7, then the opposite is -7. What is the sum between both of those examples? Zero.

Here is the formula: a+(-a)=0, (-a)+a=0
Here is some examples: (-5)+5=0, 8+(-8)=0

Thanks so much for the opportunity to answer your question. I hope this helped! :)

5 0

3 years ago

Read 2 more answers

At noon a tank contains 6 cm of water after several hours it contains 3 cm of water what is the percent inecrease of water in th

Hitman42 [59]

Question:

At noon a tank contains 6 cm of water after several hours it contains 3 cm of water what is the percent decrease of water in the tank

Answer:

The percent Decrease of water in the tank is 50%

Step-by-step explanation:

Given:

Initial amount of water in the tank at the noon = 6 cm