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HACTEHA [7]
2 years ago
9

The center of circle q has coordinates (-2, 1). if circle q passes through r (6, 7), what is the length of its diameter?

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0
<h2>Diameter of a Circle</h2>

There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.

<h2>Solving the Question</h2>

We're given the centre and a point on the circumference: (-2,1),(6,7).

Find the distance between them using the distance equation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plug in the given points:

d=\sqrt{(-2-x_1)^2+(1-y_1)^2}\\d=\sqrt{(-2-6)^2+(1-7)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10

Therefore, the radius of the circle is 10 units.

Multiply the radius by 2 to find the length of the diameter:

10 × 2

= 20

Therefore, the length of the diameter is 20 units.

<h2>Answer</h2>

20 units

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Answer:

See below ~

Step-by-step explanation:

Anthony has graphed the inequality y ≤ -2x + 1.

For an inequality using a > or < sign, a <u>dotted line</u> has to be used instead of a solid line.

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2 years ago
What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
brilliants [131]

Answer:

Step-by-step explanation:

If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula \frac{y_2-y_1}{x_2-x_1}. You can also graph the two points and use rise over run. \frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1

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3 years ago
Hlw to find ghe area of a parallelogram
Black_prince [1.1K]

Answer:

Hope this helps! :')

Step-by-step explanation:

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7 0
2 years ago
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2-x=-3(x+4)+6 please help
MariettaO [177]

Answer:

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6 0
3 years ago
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A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit
inessss [21]

Answer:

The  95% confidence interval is  295.9 < \mu< 324.1

A   95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  25

    The mean is  \= x  =  310 \ mg

     The standard deviation is  \sigma =  36 \ mg

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha  =  100 - 95

=>        \alpha  =  5\%

=>        \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the value is  

           Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }  =  1.96

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

        E =  1.96 *  \frac{36 }{\sqrt{25} }

        E = 14.1

The 95% level of confidence interval  is mathematically represented as

      \= x - E < \mu

substituting values

     310- 14.1 < \mu< 310+ 14.1

     295.9 < \mu< 324.1

The  95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

6 0
3 years ago
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