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k0ka [10]
3 years ago
11

Rationalization

rac{6}{ \sqrt{3} } " alt=" \frac{6}{ \sqrt{3} } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

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Write an equation of a line that passes through (5,
enyata [817]

Answer:

y = 1/5x - 11

Step-by-step explanation:

perpendicular to a line means we flip the slope to opposite of what it is

in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.

Now we just use the same equation to find the y-intercept, which is b.

y = mx + b; m is your slope and b is your y intercept.

use the points given; (5, -10).

-10 = 1/5(5) + b

-10 = 1 + b

-11 = b

now put your equation together since you have all the pieces

y = 1/5x - 11

3 0
3 years ago
The price p, in dollars, of a specific ca that is x year old is modeled by the function p(x)=22,255(0.91)^x
uysha [10]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x

a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore

p(2)=22,255(0.91)^2

p(2)=22,255 × 0.8281 = $18673.655

Approximately $18674

b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore

p(7)=22,255(0.91)^7

p(2)=22,255 × 0.51676101936 = 11500.51648579693

Approximately $11501

c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)

7 0
3 years ago
Which relationships could have a negative correlation? Select three options.
Rudik [331]

The relationships that could have a negative correlation are as follows:

  • the speed of a train and the length of time to reach the destination
  • number of hours worked and free time
  • speed of a car and minimum stopping distance

<h3>What is negative correlation?</h3>

Correlation between two variables shows the relationship between the two variables.

A positive correlation means that both variables move in the same direction i.e. as one increases, the other increases.

However, a negative correlation means that both variables are inversely related i.e. one increases as the other decreases.

Therefore, the relationships that could have a negative correlation i.e. inversely related are as follows:

  1. the speed of a train and the length of time to reach the destination
  2. number of hours worked and free time
  3. speed of a car and minimum stopping distance

Learn more about correlation at: brainly.com/question/6563788

#SPJ1

5 0
2 years ago
Read 2 more answers
Carlos looks for bird food to feed Julio, his pet parakeet. He feeds Julio a total of cup of food each day. Julio is fed twice e
aleksandrvk [35]
Well if he feeds him a cup a day and feeds him 2 times a day then you would divide one cup by two which equals half a cup. he feeds julio half a cup each time

3 0
3 years ago
Demonstrate that the digits of a perfect square cannot add to 2, 3, 5, 6, or 8
Lelu [443]
It depends on what did you mean by saying perfect square. If I've understood it correctly, I can help you with a part of your problem. The squares of mod <span>9</span><span> are </span><span><span>1</span><span>,4,7</span></span><span> which are came from </span><span><span>1,2,</span><span>4.</span></span><span> </span>Addition of the given numbers are 2,3,5,6, 8, which are exactly the part of your problem. This number, which is not shown as squares Mod 9, and thus doesn't appear as a sum of digits of a perfect square. I hope you will find it helpful.
5 0
3 years ago
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