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3 years ago

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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

ry within which motion can be sensed. What is the greatest distance, in feet, a person could be from the parking lot light and be detected?

2 answers:

DIA [1.3K]3 years ago

5 0

The correct answer is 4ft

<span>because the radius of that circle </span>
<span>(x+10<span>)^2</span>+(y−8<span>)^2</span>=<span>4^2</span></span>
<span>is 4</span>

Vinil7 [7]3 years ago

5 0

Answer:

The greatest distance covered by the camera is 4 feet.

Step-by-step explanation:

It has been given in the question that one of the parking lot lights at a hospital has a motion detector which covers a boundary described by an equation

(x + 10)²+(y - 8)² = 16 = 4²

Since this equation is in the form of (x - a)² + (y - b)² = r²

It's a standard equation of a circle having center (h, k) and r as the radius.

So 4 feet is the maximum distance which camera can cover.

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You have to go past the decimal point in since the first number in the tenths place is a zero you can't really round here so you go to the hundreds place and not so three you round down because 3 is closer to 0 then it is 10 so it would be 1. 4

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3 years ago

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Gianna is making up bags of fruit for her soccer team. Each bag contains 2 strawberries, 4 blueberries, and 3 raspberries. If sh

NeTakaya

Answer:

Gianna uses 24 raspberries

Step-by-step explanation:

there are 2 strawberries in each bag, if Gianna uses 16 then she must have 8 bags.

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2 years ago

The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

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

Let,

$A(-6, 2)) = (x_1, y_1)$

$B(2, 6) = (x_2, y_2)$

$AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}$

$AB = \sqrt{(8)^2 + (4)^2}$

$AB = \sqrt{64 + 16} = \sqrt{80}$

$AB = 8.9$ (nearest tenth)

Distance between B(2, 6) and C(7, 1):

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

Let,

$B(2, 6) = (x_1, y_1)$

$C(7, 1) = (x_2, y_2)$

$BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}$

$BC = \sqrt{(5)^2 + (-5)^2}$

$BC = \sqrt{25 + 25} = \sqrt{50}$

$BC = 7.1$ (nearest tenth)

Distance between C(7, 1) and D(3, -5):

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

Let,

$C(7, 1) = (x_1, y_1)$

$D(3, -5) = (x_2, y_2)$

$CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}$

$CD = \sqrt{(-4)^2 + (-6)^2}$

$CD = \sqrt{16 + 36} = \sqrt{52}$

$CD = 7.2$ (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

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

Let,

$D(3, -5) = (x_1, y_1)$

$A(-6, 2) = (x_2, y_2)$

$DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}$

$DA = \sqrt{(-9)^2 + (7)^2}$

$DA = \sqrt{81 + 49} = \sqrt{130}$

$DA = 11.4$ (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

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3 years ago

It cost a farmer 43.60 pre acre to harvest corn. How much does it cost to harvest 1325.5 acres

KATRIN_1 [288]

Answer:

$57,791.8

Step-by-step explanation:

Each acre cost $43.60.

If the famer wants to harvest 1325.5 acres he has to pay 43.6 per acre

43.60×1325.5= 57,791.8

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3 years ago

The image below shows the download speed of three different companies. Use the information to answer the questions.

inessss [21]

Answer:

1) The download speed for AT&T is 1,800

2) The download speed for Bidmore is 1,500

3) The download speed for Comcast is 1,680

4) AT&T has the best download speed out of the three.

5) They will go through the origin and be a proportional line.

Step-by-step explanation:

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3 years ago