The diameter of a circle has endpoints whose coordinates are R(-2, 2) and S(4, 2). what is the length of the radius?

Mathematics

2 answers:

zepelin [54]2 years ago

6 0

Answer: 3 units

Step-by-step explanation:

Using distance formula :

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

The diameter of the circle with endpoints R(-2, 2) and S(4, 2) will be

$d=\sqrt{(4+2)^2+(2-2)^2}=\sqrt{36}=6\ units$

Since, the radius of a circle is half of the diameter.

Then the radius of the circle will be

$r=\dfrac{d}{2}=\dfrac{6}{2}=3\ units$

Hence, the radius of the circle = 3 units.

IgorC [24]2 years ago

3 0

Answer:

the answer is 3

Step-by-step explanation:

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10. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3

BlackZzzverrR [31]

Answer:

Students ticket = $4

Child ticket = $1

Adult ticket = $5

Step-by-step explanation:

Let the price of the student ticket be $x and the price of a child ticket be $y. An adult ticket costs as much as the combined cost of a student ticket and a child ticket, so the price of one adult ticket is $(x+y).

1. A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. Then

$2(x+y)+x+y=15$

2. If you purchase 1 adult ticket, 4 student tickets, and 2 child tickets for $23, then

$(x+y)+4x+2y=23$

Now, solve the system of two equations:

$\left\{\begin{array}{l}2(x+y)+x+y=15\\ \\(x+y)+4x+2y=23\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x+y)=15\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}x+y=5\\ \\5x+3y=23\end{array}\right.\\ \\\left\{\begin{array}{l}y=5-x\\ \\5x+3(5-x)=23\end{array}\right.$