Answer:
43,000: 4.3×10^4
0.0072: 7.2×10^-3
0.0000901: 9.01×10^-5
Step-by-step explanation:
scientific notation: a×10^b, where should be 0<a<10
Step 1. Count the zeros
Step 2. Look at the number left, and determine whether or not it fits in the range of [a]. If not, we divide or multiply 10 to get it fit
------------------------
43,000: 4.3×10^4 (since 43 does not fit, we divide by 10 to get it fit)
0.0072: 7.2×10^-3 (since 0.72 does not fit, we multiply 10 to get it fit)
0.0000901: 9.01×10^-5 (since 0.901 does not fit, we multiply 10 to get it fit)
Hope this helps!! :)
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Answer:
(6, 16)
Step-by-step explanation:
This is a linear graph with equation y=8/3x
Just plug in any value of x to get another value of y
Look at the two graphs below
The equation y=8/3 contains the given points (0,0), (3,8), and (9,24) All you need to do is select another point on that line
<u>Given</u>:
Given that the side of the regular polygon is 16 feet.
We need to determine the area of the polygon.
<u>Area of the polygon:</u>
The area of the polygon can be determined using the formula,

where n is the number of sides,
s is the side length.
Substituting n = 3 and s = 16, we get;

Simplifying, we get;


Dividing, we get;

Rounding off to the nearest tenth, we have;

Thus, the area of the regular polygon is 110.9 square units.
Answer:
C) (-4, 2)
Step-by-step explanation:
It is easier to begin by putting the y equation back into the x equation so it would be rewritten as:
x= 2 (-2x - 6) - 8
Since you replace the y for the given y value
Distribute and you get
x = -4x -12 -8
Add 4x to both sides to get rid of it on the right and balance the equation
5x = -12-8 which is -20
5x = -20
divide by 5 gives you the value -4 for the x
Now simply put that value in for the y equation
y= (-2 (-4)) -6
y = 8 - 6
y = 2