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prohojiy [21]
2 years ago
5

Two lines that have the same y intercept, are always the same line. TRUE OR FALSE?

Mathematics
1 answer:
Vadim26 [7]2 years ago
8 0
False, they could have different slopes.
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Leokris [45]
The length of line segment EC is 35
4 0
3 years ago
Complete the point-slope equation of the line through (3,6)(3,6)left parenthesis, 3, comma, 6, right parenthesis and (5,-8)(5,−8
ArbitrLikvidat [17]

Answer:

The required equation of line in point-slope form is:

y-6 = -7(x-3)

Step-by-step explanation:

Given points are:

(x1,y1) = (3,6)

(x2,y2) = (5,-8)

The point-slope form of an equation is given by:

y-y_1 = m(x-x_1)

Here m is slope of the line and (x1,y1) is a point on line

The slope is calculated using the formula:

m = \frac{y_2-y_1}{x_2-x_1}

Putting the values we get

m = \frac{-8-6}{5-3}\\m=\frac{-14}{2}\\m= -7

Putting in the equation

y-y_1 = -7(x-x_1)

Now we have to put a point in the equation, putting (3,6) in the equation

y-6 = -7(x-3)

Hence,

The required equation of line in point-slope form is:

y-6 = -7(x-3)

5 0
3 years ago
Determine which ordered pair is a solution of y=8X
Amanda [17]
<span>A.(0,8) B.(-1,8) C.(1.5,10) D.(2,16)

Simply substitute the value of x to get the value of y.

y = 8x

(0,8) y = 8(0) ; y = 0

(-1,8) y = 8(-1) ; y = -8

(1.5,10) y = 8(1.5) ; y = 12

(2,16) y = 8(2) ; y = 16 

The correct ordered pair is D. (2,16)</span>
5 0
2 years ago
Find the slope.....<br>​
Luden [163]

Answer:

slope = 1/2

Step-by-step explanation:

slope = y2-y1 / x2-x1

1 - -2 / 4 - -2 = 3/6 = 1/2

or think of it this way. for every 1 step up you take 2 steps to the right to stay on the line. 1/2

4 0
2 years ago
A recent survey of 128 high school students indicated the following information about release times from school.
Delicious77 [7]

Answer:

A) Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

B) The group that wants to get out of school earlier can win after all the votes are counted if their true population proportion takes on a value that is higher than the closest true population proportion (for the group that wants to get out of school later)

That is, in the (31%, 39%) and (35%, 43%) obtained in (a), a range of (35.1%, 39%) and (35%, 38.9%) show how possible that the group that wants to get out of school earlier can win after all the votes are counted.

Step-by-step explanation:

The Interval estimate for the proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Interval estimate = (Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the proportion.

a) Find the interval estimates

i) for those that want to get out earlier and

ii) those that want to get out later.

i) Sample proportion of those that want to get out earlier = 35%

Margin of Error = 4%

Interval estimate for those that want to get out earlier = (35%) ± (4%) = (31%, 39%)

ii) Sample proportion of those that want to get out later = 39%

Margin of Error = 4%

Interval estimate for those that want to get out later = (39%) ± (4%) = (35%, 43%)

b) Explain how it would be possible for the group that wants to get out of school earlier to win after all the votes are counted.

Since the interval estimates represent the range of values that the true population proportion can take on for each group that prefer a particular option, the group that wants to get out of school earlier van have their proportion take on values between 31% and 39%. If their true population takes on a value that is highest (which is very possible from the interval estimate), and the group with the highest proportion in the sample, (the group that wants to get out of school later, whose true population proportion can take between 35% and 43%) has a true population proportion that is less than that of the group that wants to get out of school earlier, then, the group that wants to get out of school earlier can win after all the votes are counted.

Hope this Helps!!!

3 0
3 years ago
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