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Andru [333]
2 years ago
8

Find the equation for the line that passes through the point (−2,0), and that is perpendicular to the line with the equation 2/3

x+y=−14/3.
Mathematics
1 answer:
patriot [66]2 years ago
5 0

Answer:

y = 3/2 x + 3

Step-by-step explanation:

2/3 x + y = -14/3

y = -2/3 x − 14/3

The slope of this line is -2/3.  So the perpendicular slope is the opposite of the inverse:

m = -1 / (-2/3)

m = 3/2

We know the slope of the line and a point on the line, so using point-slope form:

y − 0 = 3/2 (x − (-2))

Simplifying into slope-intercept form:

y = 3/2 (x + 2)

y = 3/2 x + 3

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14/8 as a mixed number
horsena [70]
To change 14/8 into a fraction, you have to divide.

Solution

1. 8/14

2. 1 R 6

3. Denominator 8 stays the same

4. Final answer 1 3/4
7 0
3 years ago
Read 2 more answers
Bob has 10 dollars. His parents took away 5 dollars because he did not do his chores. Then he got 25 more dollars from a friend.
Sauron [17]

Answer:

$30

Step-by-step explanation:

He first has 10 dollars. Then 5 is taken off.

So, 10-5=5

His friend gives him 25 more dollars

So, 25+5= 30

Hope this helped!

4 0
3 years ago
What is 27/45 to to the simplest form
Oduvanchick [21]
The answer is to 27/45 is 3/5
5 0
3 years ago
Read 2 more answers
A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one
Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h                                The 8's cancel

10*24 = 40*h                                           Divide both sides by 10

24 = 4h                                                    Divide by 4

h = 6

Same as you got before.

7 0
3 years ago
A study is conducted to determine whether a new cancer drug increases the mean survival time by at least 30 days for a certain t
anygoal [31]

Answer:

H0: The new cancer drug increases the mean survival time by 30 days

Ha: The new cancer drug increases the mean survival time by 30 or more than 30 days.

If fail to reject H0 (the null hypothesis), the conclusion is that the new cancer drug increases the mean survival time by 30 days.

Step-by-step explanation:

The null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

The alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

The test is a two-tailed test because the alternate hypothesis is expressed using more than or equal to.

If I fail to reject H0, it means the test statistic falls within the region bounded by the critical values.

It would therefore be concluded that the new cancer drug increases the mean survival time by 30 days.

8 0
3 years ago
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