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Lunna [17]
3 years ago
8

Simplify the expression. (z^6)^2=

Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:

z^12

Step-by-step explanation:

(z^6)^2  is equivalent to z^(6·2), or z^12.  Here we have multiplied the exponents 6 and 2 together, obtaining 12.

This obeys the rule of exponents   (z^a)^b = z^(ab).

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Determine whether each set of numbers can be the measure of the sides of a triangle. If so, classify the triangle as acute, righ
ElenaW [278]

The following set of numbers 2√3, 4√2, and 3√5, can be the measures of the sides of an obtuse triangle.

A triangle is a polygon with three sides and three vertices.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 2√3, b = 4√2, and c = 3√5

a + b > c     2√3 + 4√2 > 3√5     9.12 > 6.71     True

a + c > b     2√3 + 3√5 > 4√2     10.17 > 5.66    True

b + c > a     4√2 + 3√5 > 2√3     12.37 > 3.46     True

To know what type of triangle based on the length of its side:

1. Take the sum of the squares of the two smaller sides.

(2√3)^2 + (4√2)^2 = 44

2. Compare it to the square of the largest side.

(3√5)^2 = 45

44 < 45

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle

if they are smaller, then it is an obtuse triangle.

Hence, 2√3, 4√2, and 3√5 can be the measure of the sides of an obtuse triangle.

To learn more about types of triangle based on side lengths: brainly.com/question/13619935

#SPJ4

4 0
1 year ago
Find the slope of the line 7x-4y=10
Harman [31]

Answer:

The slope is m=(7/4)

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

7x-4y=10

so

Convert to slope intercept form

Isolate the variable y

4y=7x-10

y=(7/4)x-(10/4)

y=(7/4)x-(5/2)

The slope is m=(7/4)

5 0
3 years ago
Which of with of the following would be the most appropriate unit to weigh a single medicinal pill
avanturin [10]

Answer:

hi, I need the weights provided in the question to answer this question

8 0
2 years ago
Languages Spoken in Australia
RideAnS [48]
Answer Should be= B
Hope this helps.
4 0
3 years ago
Read 2 more answers
Help with my worksheet please
Kobotan [32]

Answer:

1. 12/36

2. 4/5

3. 1/4

4. 9/24

5. 2/5

6. 20/50

7. 5/6

8. 2/4

9. 12/24

10. 10/60

11. 8/12

12.18/27

13. 3/9

14. 10/12

15. 4/8

16. 1/4

17. 5/15

18. 6/30

19. 2/3

20. 14/21

3 0
3 years ago
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