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Anastaziya [24]
3 years ago
8

The quotient of 6 times a number and 16

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0
6x=16
÷6 both sides
x=16/6 or 8/3
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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe
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Th=Ukn
Ts=27
Fh=5
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x/27=5/4.5
x=30
The tree is 30 feet tall.
7 0
3 years ago
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Match the pairs of equations that represent concentric circles. Tiles
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I will explain you and pair two of the equations as an example to you. Then, you must pair the others.

1) Two circles are concentric if they have the same center and different radii.

2) The equation of a circle with center xc, yc, and radius r is:

(x - xc)^2 + (y - yc)^2 = r^2.

So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.

3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.

Example:

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=> (x^2 + 4x) + (y^2 - 2y) = 7

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7

=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.

equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0

rearrange: 4x^2 + 16x + 4y^2 - 8y = 308

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=> (x^2 + 4x) + (y^2 - 2y) = 77

complete squares: (x + 2)^2  - 4 + (y - 1)^2 - 1 = 77

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Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.
5 0
3 years ago
QUESTION 2 of 10: You take the bus to work and need to arrive by 9:00 AM. The trip takes 25 minutes. It takes you 10 minutes to
Anit [1.1K]

Answer:

8.20

Step-by-step explanation:

use your brain next time its realy easy or pay attantion to class

6 0
2 years ago
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Solve this with the explanation please
nikitadnepr [17]
  1. yes,
  2. 301 times.

Hope it helps

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2 years ago
How many even 3-digit positive integers can be written using the digits 1,2,4,7, and 8?
N76 [4]

Looking at the question, we can see we have 5 different numbers that can go in any order.

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5 * 4* 3 = 60

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