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kondor19780726 [428]
3 years ago
7

18. Find the equation of the circle containing the points (-1.-1) and (3, 1) and with the centre on the line x-y + 10 = 0​

Mathematics
1 answer:
Vlad [161]3 years ago
3 0

Answer:

x^{2} +2x+y^{2}+2y= 18

Step-by-step explanation:

equation of circle is:

x^{2}+y^{2}=r^{2}

using distance formula and substituting value,

(3-(-1))^{2} +(1-(-1))^{2}=r^{2}

solving,

r=2\sqrt{5}

for equation of circle,

(x-(-1))^{2} +(y-(-1))^{2} =20

on solving,

x^{2} +2x+1+y^{2}+2y+1=20

on solving,

x^{2} +2x+y^{2}+2y= 18

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the seed and skin of a typical avacado is about 30%-40% of the avocados weight. for an 8-ounce avocado, how many ounces of edibl
wolverine [178]

Answer:

Edible fruit amount is 4.8 ounce to 5.6 ounce  

Step-by-step explanation:

Given as

The seed and skin of avocados is about 30%-40%

And the weight of avocados is 8 ounce

So, the weight of seed and skin is about 30% of 8 to 40% of 8

i.e 2.4 ounce to 3.2 ounce

Then the edible fruit is about 60% to 70%

i.e 60% of 8 to 70% of 8

Thus edible fruit of avocados = 4.8 ounce to 5.6 ounce   Answer

5 0
3 years ago
The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula
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Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu = 30\ seconds

    The standard deviation is  \sigma = 3 \ seconds

     The sample size is  n  = 9

    The null hypothesis is H_o: \mu  = 30

     The alternative hypothesis is  H_a  :  \mu \ne 30

    The level of significance is  \alpha = 0.01

    The sample mean is  \= x = 31.2

Generally the test statistics is mathematically represented as

      z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }

=>   z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }

=>   z = 1.2

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

         P(Z >  1.2) =  0.11507

Generally the p-value is mathematically represented as

         p-value = 2 * P(Z >  1.2)

=>       p-value = 2 *0.11507

=>       p-value = 0.230

From the value obtained w can see that

         p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

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3 years ago
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Paul [167]

Answer:

6th graders have more participators in extracurricular activities than 4th graders.

There are more 6th graders than 4th graders that participate in extracurricular activities.

Step-by-step explanation:

6 0
3 years ago
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What is 4b + 6 ≤ 18. I don't know how to solve it and don't know the answer.
wolverine [178]

Answer:

b≤3

Step-by-step explanation:

For this problem, you want to solve it similarly to linear equations.

We start with 4b+6≤18.

Subtracting 6 from both sides gives 4b≤12.

From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.

**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!

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A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. Th
IRISSAK [1]

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

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Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Learn more in brainly.com/question/14746652

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2 years ago
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