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3 years ago

What is the diameter of the circle whose center is at (6,0) and passes through the point (2,-3)

Mathematics

2 answers:

IceJOKER [234]3 years ago

8 0

10 units!!! (X1,Y1)= 6,0 and (X2,Y2)= (2,-3)

Aleksandr [31]3 years ago

5 0

Answer: 10 units

Step-by-step explanation:

Use the distance formula(√(x1-x2)^2+(y2-y1)^2)

$\sqrt{(6-2)^2+(0-(-3))^2} \\\\\sqrt{4^2+3^2}\\\\\sqrt{16+9}\\ \\\sqrt{25}\\ \\5$

Thus, the radius of the circle is 5. Because the diameter is 2r, the diameter = 2(5) = 10

Hope it helps <3

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last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co

borishaifa [10]

Answer: $x+y\geq 1$ , $x>\frac{1}{4}$ , $x\geq 2y$ and $y\geq 0$

Step-by-step explanation:

Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ $x+y\geq 1$

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ $x\geq 2y$

Also, She spent more than 1/4 hour running on her wheel.

⇒ $x>\frac{1}{4}$

And, we know that number of hours can not be negative.

⇒ $y\geq 0$

Therefore, the complete system of inequality which shows the given situation is,

$x+y\geq 1$ , $x>\frac{1}{4}$ and $x\geq 2y$ , $y\geq 0$

Note: the feasible region ( covered by the given system) is shown in the below graph.

6 0

3 years ago

Write the phrase as an expression<br> the quotient of 22 and a number a

RideAnS [48]

I believe the Answer is a/22 ( that’s a fraction )

5 0

3 years ago

How to find slope within two sets of points

EastWind [94]

The slope within two sets of points is calculated using the slope equation $m = \frac{y_2 -y_1}{x_2 -x_1}$

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

Hence, the equation of two sets of points is $m = \frac{y_2 -y_1}{x_2 -x_1}$