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Pavel [41]
2 years ago
13

Which quadrant does the coordinate (-8, 12) lie?

Mathematics
1 answer:
marysya [2.9K]2 years ago
3 0
In quadrant 2 is where it lies.
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Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
BigorU [14]
You have two 30-60-90 triangles, ADC and BDC.

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse
     1        :  sqrt(3)  :        2

Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC

First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30

Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10

AB = AC - BC = 30 - 10 = 20
6 0
3 years ago
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xxMikexx [17]
Any line is 180 degrees, so z is 67 degrees and x is 6.
7 0
3 years ago
The graph below represents a recent 10 meter race between two remote control cars
Rus_ich [418]

Answer:

y = 1/2x - 9/2

Step-by-step explanation:

4 0
3 years ago
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How do I solve 8d3 + (6d2 – 4d)
kompoz [17]
<span>8d3 + (6d2 – 4d)
=</span><span>8d3 + 6d2 – 4d
=2d(4d^2 + 3d - 2)
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</span>
5 0
3 years ago
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Seven less than two times a number is 29.
Alexxx [7]
2x-7=29

"Seven less than" => minus 7.
"Two times <u>a number</u>" => 2x (x is the unknown number)
"is twenty-nine" => =29
Putting it all together, 

-7 + 2x = 29
or
2x-7=29
(if you were wondering x is equal to 18)
4 0
3 years ago
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