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2 years ago

9

Use the sequence below to answer parts a and b (8,17,26,35,44,53,...) Create an explicit formula to determine the 12th term of t

he sequence Create a recursive formula to prove the 7th term is 62.

1 answer:

Andreyy892 years ago

8 0

THATS HOW YOU SOLVE THE 12TH AND 7TH TERM

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If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Umnica [9.8K]

$(x-7)^{2} + (y+6)^{2} = 10$ is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)

Distance between the 2 points $(x_{1} ,y_{1}) and (x_{2} ,y_{2})$ is given by

$\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }$

So distance between A(8,-9) and M ( 7,-6) = $\sqrt{(7-8)^{2}+ (-6-(-9))^{2} }$

= $\sqrt{(1)^{2}+ (3)^{2} } = \sqrt{10 }$

Hence the radius r is $\sqrt{10}$

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = $\sqrt{10}$ is given by

$(x-a)^{2} + (y-b)^{2} = r^{2}$

=> $(x-7)^{2} + (y-(-6))^{2} = (\sqrt{10} )^{2}$

=> $(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

Step 5 :

Answer :

$(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

7 0

2 years ago

What is the arclength of PQ

balu736 [363]

Given:

θ = 54°

Radius = 10 in

To find:

The arc length of PQ

Solution:

Arc length formula:

$$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)$

$$\text{Arc length}=2 \times 3.14 \times 10\left(\frac{54^\circ}{360^\circ}\right)$

= 9.42 in

The arc length of PQ is 9.42 inches.

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2 years ago

Hello the question is in the picture ( only C)

pav-90 [236]

SOLUTION:

A normal distribution would model this situation because the distribution is approximately symmetrical, thus the mean, median and mode are approximately the same and the population size is large ( greater than 30).

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10 months ago

Out of 260 racers who started the marathon, 231 completed the race, 26 gave up, and 3 were disqualified. What

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12.5% did not finish the race

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mamaluj [8]

Answer:

10

Step-by-step explanation:

3x - 2 = 3(4) - 2 = 12 - 2 = 10

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2 years ago

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