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Fudgin [204]
3 years ago
15

Find the distance between the points (3,-5) and (3,-2).

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

3 units

Step-by-step explanation:

Distance between two points (x1,y1) and (x2,y2) on coordinate plane is given by

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }

Given points in the problem are (3,-5)  and (3,-2).

Thus distance between points (3,-5)  and (3,-2).

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }\\=>distance = \sqrt{(3-3)^2 +(-5-(-2))^2  }\\=>distance = \sqrt{(0)^2 +(-5+2)^2  }\\\\=>distance = \sqrt{0 +(-3)^2  }\\\\=>distance = \sqrt{9  }\\=>distance = 3

Distance between points (3,-5)  and (3,-2) is 3 units

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PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
damaskus [11]
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)

a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.

A(0,0,0)
Reflecting
A(0,0,0)

B(0,5,0)
Reflecting
B(0,-5,0)

C(3,5,0)
Reflecting
C(3,-5,0)

D(3,0,0)
Reflecting
D(3,0,0)


b.)
A(0,0,0)
Moving
A(-2,-3,1)

B(0,-5,0)
Moving
B(-2,-8,1)

C(3,-5,0)
Moving
C(1,-8,1)

D(3,0,0)
Moving
D(1,-3,1)
7 0
3 years ago
Which set of side lengths create a right triangle ?
I am Lyosha [343]

Answer:

(8, 15 and 17)

Step-by-step explanation:

\sqrt{10^{2} +28^{2} } \neq 29

\sqrt{6^{2} +8^{2} } \neq 13

\sqrt{7^{2} +12^{2} } \neq 14

\sqrt{8^{2} +15^{2} } =17

3 0
3 years ago
20 is what percent of 160
stira [4]
In this problem WP means what percent

20 = WP  X 160

solve for WP, by dividing both sides by 160

and you get:

0.125 = WP

Change your decimal into a percent by multiplying by 100%

12.5% is your result.
7 0
3 years ago
Brent purchased a used vehicle that depreciates under a straight-line method. The initial value of the car is $7500, and the sal
Ilia_Sergeevich [38]
Let the value of the vehicle be described by the equation
V = a + bx
where x =  number of years since purchase
a,b are constants.

When x = 0, V = $7500. Therefore
a + b*0 = 7500
a = 7500

When x = 7, V = $500. Therefore
7500 + 7b = 500
7b = 500 -7500 = -7000
b = -7000/7 = -1000

The equation is
V = 7500 - 1000x

The slope of this equation is the depreciation rate, and it is -$1000 per year.

Answer: $1000 depreciation per year.

5 0
3 years ago
Libbie can buy a package of 50 disks for $14.50. What would be the cost of one disks
Flauer [41]

Answer:

0.29

Step-by-step explanation:

14.50 \div 50 =0.29

7 0
2 years ago
Read 2 more answers
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