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eimsori [14]
3 years ago
12

Need help on #12 and # 13 please and thank you

Mathematics
1 answer:
Paladinen [302]3 years ago
5 0
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One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda
Pani-rosa [81]
We are given an equation:
(x+10)^{2} +  (y-8)^{2} = 16

This is an equation of a circle. General form of a circle equation is:
(x-a)^{2} + (y-b)^{2} = r^{2}
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
r^{2} =16  \\ r=4
The greatest distance at which person can be detected is 4ft.
7 0
3 years ago
Read 2 more answers
a line passes through the points (–6, 4) and (–2, 2). which is the equation of the line? y = -1/2x + 1, y = 1/2x + 7,y = –2x – 8
viva [34]

Answer:

-1/2x+1 is the equation.

Step-by-step explanation:

4 0
3 years ago
Fill in the Blank 1. 272 > 14 ​
LenaWriter [7]

Answer:

19.4285714286 Step-by-step explanation: 272 divided by 14 can be calculated as follows. 272/14 math problems division

8 0
3 years ago
Solve the given inequality and SHOW YOUR WORK<br> -2x + 3 &lt; 5
natita [175]

-2x<5-3

-2x<2

divide both sides by -2

x<-1

remember +/-=-

that's why it's a negative answer

4 0
3 years ago
What is it’s measure and what kind of angle is formed here? Basically what the question asks dhdjdkdk
777dan777 [17]

right

Answer:

90°

Step-by-step explanation:

Type of angle foremd= right

Measure = 40° + 50° = 90°

Type of angle foremd= right

Measure = 40° + 50° = 90°

4 0
3 years ago
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