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erastovalidia [21]
3 years ago
11

ASAP I GIVE BRAINEST AND 10 PT. (ALREADY OVERDUE) answer the question below

Mathematics
1 answer:
Ilya [14]3 years ago
6 0
Here u go! i hope this helps u

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Distance between parallel lines y=3x+10 and y=3x-20
Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).


2. Use formula d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} to find the distance from point (x_0,y_0) to the line Ax+By+C=0.


The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}.


3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.


Answer: d=3\sqrt{10}.

4 0
3 years ago
In the exponential growth function y = 235(1.15)^x, what is the
sweet-ann [11.9K]

Answer: Growth factor will be 0.15 and percent increase will be 15%.

Step-by-step explanation:

Since we have given that

the exponential growth function

y=235(1.15)^x

1) We need to find the growth factor :

As we know the formula for "Compound Interest ":

A=P(1+\frac{r}{100})^x

If we compare the formula with our given equation, we get

1+\frac{r}{100}=1.15\\\\\frac{r}{100}=1.15-1\\\\\frac{r}{100}=0.15\\\\r=0.15\times 100\\\\r=15

So, the growth factor is at the rate of 0.15.

2) Percent increase will be

0.15=\frac{15}{100}\times 100\\\\=15\%

Hence, growth factor will be 0.15 and percent increase will be 15%.

3 0
3 years ago
The temperature in degrees Celsius, can be determined using the expression {5}{9}5 9 (F – 32) where F is the temperature in degr
Sergio039 [100]

Answer:

45 degrees Celsius

Step-by-step explanation:

5/9 (113 - 32)

5/9 (81)

45

7 0
3 years ago
Rosalie evaluates the numerical expression 6+4 7 -1.
siniylev [52]
6+47=53
53-1=52
that’s all the steps, i hope it helps
4 0
3 years ago
Use an area model to solve. 1 3/4 X 2 1/2
Murrr4er [49]

the answer is 1 2/1

hope this helps!!

6 0
3 years ago
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