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MatroZZZ [7]
3 years ago
10

Write the following roots as pure imaginary numbers:

Mathematics
2 answers:
notsponge [240]3 years ago
8 0

Answer:

9i

30√5 i

Step-by-step explanation:

√ -81

= √ 81  * √ -1

= 9i.

5√ -180

= 5i * √ 180

=  5i *  √36 * √5

= 5i * 6 *√5

= 30√5 i.

hjlf3 years ago
7 0

Answer:

Step-by-step explanation:

\sqrt{-81}=\sqrt{i^{2}*9^{2}}=9i\\\\\\ 5\sqrt{-180}=5\sqrt{i^{2}*3*3*2*2*5}=5\sqrt{i^{2}*3^{2}*2^{2}*5}=5*i*2*3\sqrt{5}\\=30i\sqrt{5}

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Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
3 years ago
A house has increased in value by 34% since it was purchased the current value is 469,000 what is the value when it was purchase
Rashid [163]

Answer:

$ 710606.606

Step-by-step explanation:

Let original price be x

x - 34% of x = 469000

=> X - 34x/100 = 469000

=> 100x -34x/100 = 469000

=> 66x/100 = 469000

=> 66x = 46900000

=> X = 46900000/66

=> X = 710606.606

8 0
3 years ago
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yarga [219]

Answer:

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Step-by-step explanation:

we'll set up the problem like this:

3/4 mi = 1/8 hr

now multiply each side by 8:

24/4 mi = 1 hr

simplify:

6 mi = 1 hr

3 0
3 years ago
Read 2 more answers
Please help NO LINKS!!!
kenny6666 [7]

Answer:

Step-by-step explanation:

base = 7 units

height = 12 unit

Area of triangle = \frac{1}{2}*base * height\\

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6 0
3 years ago
Which of the following data represents an actual probability?
KonstantinChe [14]

Answer:

(A.)A computer randomly generates 6 put of 100 numbers.

Step-by-step explanation:

This is an actual probability.

7 0
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