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Helen [10]
3 years ago
10

What is the answer?????

Mathematics
1 answer:
zalisa [80]3 years ago
6 0
We do not know the answer because their is no problem

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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
Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq
Ksju [112]
Let
x-----------> first <span>odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer

we know that
(x+4)</span>²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0

using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3

the answer is
the first odd integer x is 1
the  second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5

7 0
3 years ago
2. The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for
kvv77 [185]
<span>The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.</span>
5 0
3 years ago
Read 2 more answers
You have a total of 52 respondents to a survey
Rama09 [41]

Answer:

17% , 15% , 6% , 10% , 40% , 6%

Step-by-step explanation:

You're going to have to divide the number of people who voted for those positions by the total number of people.

Adapting = 9 / 52 = 17%

Other = 8 / 52 = 15%

Yes = 3 / 52 = 6%

No = 5 / 52 = 10%

Absolutely = 21 / 52 = 40%

Maybe = 3 / 52 = 6%

6 0
3 years ago
270 peaches are placed into three groups: small peaches,
Ghella [55]

Answer:

$0.45

Step-by-step explanation:

ratio is 2:4:3

total is 9

270 ÷ 9 = 30

smoll

60 × 0.25 = $15

med

120 × 0.30 = $36

Big

91.50 - 15 - 36 = 40.5

40.5 ÷ 90 = $0.45

4 0
3 years ago
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