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nirvana33 [79]
3 years ago
11

Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

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70 = -7 k solve the equations
wolverine [178]

Answer:

-10

Step-by-step explanation:

70= -7k

70 -7k

-- --

-7 -7

-10=k

Have a great day

4 0
3 years ago
Read 2 more answers
A Local group claims that the police issue more than 60 speeding tickets a day in thire area. To prove their point, they randoml
MissTica

Answer:

The group's claim is not supported at 1% significance level.

Step-by-step explanation:

given that a local group claims that the police issue more than 60 speeding tickets a day in thire area

The data they collected for 2 weeks is given below:

70 48 41 68 69 55 70

57 60 83 32 60 72 58

\bar x = 60.2\\s = 12.9\\n=14

Std error of mean = \frac{12.9}{\sqrt{14} } \\=3.4477

H_0: \bar x=60\\H_a: \bar x >60

(Right tailed test at 1% significance level)

Mean difference = 0.10

Test statistic t with df 13 = mean difference/std error

= 0.029

p value = 0.4886

Since p >0.01, we accept null hypothesis

The group's claim is not supported at 1% significance level.

7 0
3 years ago
Please help! What is the distance, rounded to the nearest tenth, between the points (0,5) and (8,0)? ___ units
Reil [10]
It’s 9.4 ...................
5 0
3 years ago
Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are b
Masteriza [31]
The percentage of apples that are bad is 25%. This is because 25% of 24 is 6. I hope this helped! 
5 0
3 years ago
there are 124 students in the band. there are 12 more boys than girls in the band. how many boys and how many girls are in the b
kvv77 [185]
B = g + 12
g + b = 124
Replace the b in the second equation with
g+ 12

g+ g+12=124
2g + 12 = 124
Subtract 12 from both sides
2g = 112
Divide by 2
g = 56

b= 56 + 12
b= 68
4 0
3 years ago
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