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Thepotemich [5.8K]
3 years ago
11

Fill in the blanks:

Mathematics
1 answer:
Ymorist [56]3 years ago
4 0
When you multiply powers, add the exponents.
When you divide powers, subtract the exponents.
When you raise a power to a power, multiply the exponents.
Anything to the zero power equals one.
When you have a negative exponent, flip it and make it positive.
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An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
Mandarinka [93]

9514 1404 393

Answer:

  5.2 in

Step-by-step explanation:

An equiangular triangle is also equilateral. All sides will be 6 inches, and the height line will be a perpendicular bisector of the side.

Using trig, the height is ...

  (3 in)tan(60°) = 3√3 in ≈ 5.2 in

Using the Pythagorean theorem, ...

  h² = 6² -3² = 27

  h = √27 ≈ 5.2 . . . inches

6 0
3 years ago
What equation is equivalent to y+2 = -2(x-3) in slope intercept form
Temka [501]

Answer:

-x+y+5

Step-by-step explanation:

7 0
4 years ago
If (2x - 3) is a factor of mx^2 - 11x - 6, find the other factor.​
Travka [436]

Answer:

(2x - 3) ^2 - 11x - 6

Step-by-step explanation:

6 0
3 years ago
The graph below represents a population
Nataliya [291]

Answer:

Average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

Step-by-step explanation:

We need to find the average rate of  change for the function for the interval

(6, 12]

The formula used to calculate Average rate of change is:

Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}

We are given a=6 and b=12

Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000

and when x=12, y=6000 so, f(b)=6000

Putting values in formula and finding Average rate of change:

Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{6000-3000}{12-6}\\Average \ rate \ of \ change=\frac{3000}{6}\\Average \ rate \ of \ change=500

So, average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

6 0
3 years ago
Find the area of the figure
Pavlova-9 [17]
Triangle
1+1+5=7
7×4=28
28÷2=12

rectangle
12×5=60

whole shape
60+12=72in squared
3 0
3 years ago
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