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NeX [460]
3 years ago
13

What is the radius of a circle whose equation is x^2+y^2-10x+6y+18=0

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

to find the radius of x^2+y^2-10x+6y+18=0, we must complete the square:



x^2 - 10x + y^2 + 6y = -18


Then:


x^2 - 10x + 5^2 - 5^2 + y^2 + 6y + 9 - 9 = -18


Collecting all three constants on the right-hand side, r^2 = -18 + 25 + 9 = 16


Then r = +sqrt(16) = +4 (answer)



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The graph shows the location of point G and point H. Point J is graphed at (n,-3). The distance from point H to point J is equal
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The distance from point H to point J is 3 units.The value of n is 3.

Step-by-step explanation:

From the graph, point H is at (n,-6)

Point G location will be at (0,-6)

Point J is at (n,-3)

Observing point H(n,-6) and point J (n,-3) you notice that point J is above point H.find how much far is point H from point J.

d= √(x₂-x₁)²+(y₂-y₁)²

d=√(-3--6)²

d=√3² =√9 = 3

Distance H to J is 3 units

Point G (0,-6) and point H (n,-6) have a distance of 3 units same as point H to J

To get the horizontal length will ;

d=√ (n-0)²

d=√n² but d=3 units

3=√n²

9=n²

√9=n

3=n

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Distance between two points: brainly.com/question/1312275

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6 0
3 years ago
A rock falls off a balcony. It’s height(in feet)is given by the formula f(x)= -16t^2+12.5t+150, where t is measured in seconds.
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Answer: 3.47\ seconds

Step-by-step explanation:

Given the following function:

f(x)= -16t^2+12.5t+150

You need to follow these steps in order to solve the exercise:

1. Substitute f(x)=0:

0= -16t^2+12.5t+150

2. Now you need to apply the Quadratic formula. This is:

x=t=\frac{-b\±\sqrt{b^2-4ac} }{2a}

In this case, you can identify that:

a=-16\\b=12.5\\c=150

Then, you can substitute these values into the formula:

t=\frac{-12.5\±\sqrt{(12.5)^2-4(-16)(150)}}{2(-16)}

3. Evaluating, you get:

t_1=3.47\\\\t_2=-2.69

4. You must choose the positive value. Then:

t=3.47\ seconds

7 0
4 years ago
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