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nirvana33 [79]
2 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]2 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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In order for a constitutional amendment to the Florida constitution to pass 60% of the popular vote must support the amendment.
max2010maxim [7]

Answer:

H_{0}: p \leq 0.6\\H_A: p > 0.6

Step-by-step explanation:

We are given the following in the question:

Percentage of vote required for constitutional amendment = 60%

p = 60% = 0.6

Hypothesis:

More than sixty percent of the voters would support a new amendment about higher education.

We design the null and the alternate hypothesis  

H_{0}: p \leq 0.6\\H_A: p > 0.6

Interpretation:

The null hypothesis states that less than or equal to 60% of the voter support the new amendment and the alternative hypothesis states that gretaer than 60% supports the amendment about higher education.

4 0
2 years ago
Robin's scores: 99, 108, 102, 107, 119
VashaNatasha [74]
<h3>The medians does'nt support the conclusion</h3>

<em><u>Solution:</u></em>

Given that,

Robin's scores: 99, 108, 102, 107, 119

Order the number from least to greatest

99, 102, 107, 108, 119

Median is the middle value of data set

Median is 107

Evelyn's scores: 125, 137, 138, 145, 145

Order the number from least to greatest

125, 137, 138, 145, 145

Medain is 138

The median of Evelyn's scores is greater than the median of Robin's

Therefore, the medians does'nt support the conclusion.

4 0
2 years ago
Read 2 more answers
Which ordered pair is the best approximation of the exact solution?
tino4ka555 [31]
For this case what you should do is observe the table that the values of y of both functions are as similar as possible.
 We observed that:
 For the x 1.6 coordinate we have:
  y = 1.2&#10;&#10;y = 1.4
 Therefore, a good approximation of the solution is:
 \frac{(1.2 + 1.4)}{2} = 1.3 &#10;&#10;
 The ordered pair solution is:
 (1.6, 1.3)
 Answer:
 
(1.6, 1.3)option A
4 0
2 years ago
Read 2 more answers
What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
Deffense [45]
So you have a right angle triangle. You need to use trig for this, as you have two values you can figure out a third.

You know that you have

90 deg. angle
19 deg. angle
Therefor you have 71 deg. angle

sin19 = x/15
15sin19 = x
x = 2.2

Now do Pythagoras c^2-b^2=a^2

a = 14.8

So the sides are 2.2 and 14.8 units long. (If these numbers are wrong tell me and I'll edit answer)

7 0
2 years ago
Read 2 more answers
Does anyone know thsi
Dvinal [7]

Answer:

159.75 m

Step-by-step explanation:

Formula for the area of a triangle:

A= \frac{(base)(height)}{2}

base = 15

height = 21.3

(15)(21.3) = 319.5

319.5 divided by 2 = 159.75 m

8 0
1 year ago
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