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amid [387]
2 years ago
10

Find the value of r so the line that passes through the pair of points has the given slope,

Mathematics
2 answers:
AlekseyPX2 years ago
8 0

Answer:r = 14

Step-by-step explanation:

aleksley [76]2 years ago
6 0

Answer:

r = 14

Step-by-step explanation:

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

\frac{-4-r}{8-2}= -3 \\\\\frac{-4 - r}{6} = - 3

Cross multiply,

-4 - r = -3*6

-4 - r = -18

-4  = - 18 + r

-4 + 18 = r

r = 14

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Step-by-step explanation:

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If the two sides of a triangle are 2 and 7 what is the possible lengths of the third side.
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3 0
3 years ago
a circle has an area of 81 3.14 units . what is the diameter in terms of 3.14a circle has an area of 81 Pi square units what is
Sunny_sXe [5.5K]
You have posted 2 separate questions here.  Please, next time, separate them with a blank line:

<span>A circle has an area of 81 3.14 units . what is the diameter in terms of 3.14?

I'd prefer you write this as 
"</span><span>A circle has an area of 81 pi units . what is the diameter in terms of pi?

Area of a circle = A = pi*r^2.  Note that r= diameter / 2.  Here, the area is 81 pi square units, or 9^2 * pi square units, which means that the radius is 9 units.  The diameter is then 2(9 units) = 18 units.


Your second question, separated from the first, is:

"</span><span>a circle has an area of 81 Pi square units what is the diameter of the circle?"
</span><span>
Use the following formula or formulas:  d = 2*r; A = pi*r^2; A = pi*(d/2)^2.  Find r first, and then find d.

</span>
4 0
3 years ago
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8 0
3 years ago
Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
Doss [256]

Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

This can be obtained from the standard normal distribution table and it is = 1.175

Thus;

1.175 = (85 - mean)/SD

let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

a = 85 - 1.175b ••••••••(i)

Secondly 8% of scores were below 70

Let’s find the z-score corresponding to this proportion;

We use the standard normal distribution table as usual;

P( x < 70) = 0.08

z-score = -1.405

Thus;

-1.405 =( 70-a)/b

-1.405b = 70-a

a = 70 + 1.405b ••••••(ii)

Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

15 = 2.58b

b = 15/2.58

b = 5.81

a = 70 + 1.405b

a = 70 + 1.405(5.81)

a = 78.16

So mean = 78.2 and Standard deviation is 5.8

4 0
3 years ago
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