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uysha [10]
3 years ago
9

Plz hurryThe center of circle Q has coordinates Q(6,-4) . If circle Q passes through R(14,2) , what is the length of its diamete

r?
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Answer:

the diameter is twice the circle radius, or 20

Step-by-step explanation:

Recall that the radius is half the diameter <=> the diameter is twice the radius.  In this problem we need to find the radius first, then multiply it by 2 to obtain the diameter.

We need to determine the distance between the center of the circle Q(6, -4) and the point R(14, 2) on the circle.  

The Pythagorean Theorem applies here.  Going from Q to R, x changes from 6 to 14, or 8 units, which is the horizontal leg of a right triangle, and y changes from -4 to 2, or 6 units.  Thus, according to the Pythagorean Theorem, the length of the hypotenuse of this triangle is

r = √(6² + 8²) = √100 = 10

and so the diameter is twice that, or 20.

You might be interested in
Use the distance formula to find the distance, to the nearest tenth, from S(7, −1) to V(−1, 3).
34kurt

Answer:  8.9 units (choice C)

Explanation:

We plug (x_1,y_1) = (7,-1) \text{ and } (x_2,y_2) = (-1,3)\\\\ into the distance formula to get the following

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-(-1))^2 + (-1-3)^2}\\\\d = \sqrt{(7+1)^2 + (-1-3)^2}\\\\d = \sqrt{(8)^2 + (-4)^2}\\\\d = \sqrt{64 + 16}\\\\d = \sqrt{80}\\\\d \approx 8.94427\\\\d \approx 8.9\\\\

4 0
2 years ago
Can someone help me
Alexxandr [17]

Answer:

i) 0.1056

ii) 0.105

iii) 0.1

iv) 0.1056

Step-by-step explanation:

0.36, to the power of 2 (0.36×0.36) is 0.1296

0.1296-0.03×0.8=0.1056

6 0
2 years ago
Quick plz help asap marking brainliest for first answer as long as you include steps !!!
Akimi4 [234]

Answer:

a=2.48

c=9.52

Step-by-step explanation:

a+c=12

4a+7.5c=72.5 Given


a+c=12

-4a-7.5c=-72.5 multiply the equation by negative 1


-3a-6.5c=-60.5 simplify


-3a=-60.5+6.5c add 6.5c to both sides


a=-20.17+2.17c divide it by 3

now you would take that equation and plug it into an equation you already have since you have something to plug in for a, the easiest one to do is a+c=12

(-20.17+2.17c)+c=12 plug in the equation


-20.17+3.17c=12 simplify by solving for c


3.17c=30.17 add 20.17 to both sides


c=9.52 divide both sides by 3.17

now since you have found c, you can plug it in to you equation to solve for a now (use the ones from the second step).  I am using the equation a+c=12.

a+9.52=12 plug in the variable and solve for a


a=2.48 subtract 9.52 to both sides


a=2.48

c=9.52

7 0
3 years ago
9a + 8 - 20-3-50<br> Answer
dem82 [27]

Answer:

9a-65

Step-by-step explanation:

simply write 9a+(add the remaining numbers all together)

5 0
3 years ago
For which independent value do the equations generate the same dependent value? y1=6x-16 , y2=3x-10
Nikitich [7]
The question asks which x-value gives the same y-value for both equations, so if you need the ys to be equal, you can set both equations equal to each other, giving you 6x-16=3x-10. Now, solve for x. 6x-16=3x-10, subtract 3x and add 16, 3x=6, divide 3, x=2. Your answer is x=2.
7 0
3 years ago
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