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Vikentia [17]
3 years ago
10

6.

Mathematics
1 answer:
Hatshy [7]3 years ago
5 0

Answer:

B. –7x +7y = –49

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  

(

0

,

−

7

)

x

y

0

−

7

1

−

6

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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
You scored a 95% on your math quiz.The quiz was out of 60 points.How many points did you get
Maurinko [17]
Yo scored 57 out of 60
4 0
3 years ago
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TEA [102]

Answer:

angle BAC = angle DAC it is correct answer of this question ....

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8 0
2 years ago
Solve 3v−8v+7v=24. I need help on this question in math
Lyrx [107]

Answer:

v=12

Step-by-step explanation:

3v-8v+7v=24

3v-v=24

2v=24

v=12

3 0
3 years ago
What is the exact volume of the cone?
zlopas [31]

Answer:

The third choice, (160/3)π cm³

Step-by-step explanation:

The formula for volume of a cone is

V = (1/3)πr²h   where r is the radius of the base, and h is the height

Here, r = 4 and h = 10. plug those values in and simplify...

V = (1/3)π(4²)(10)

V = (1/3)π(16)(10)

V = (1/3)π(160)

V = (160π)/3

4 0
3 years ago
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