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Leona [35]
3 years ago
7

Write the following using index notation

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
6 0

Step-by-step explanation:

\underbrace{a\times a\times a\times...\times a}_{n}=a^n

A)\ \underbrace{2\times2\times2}_{3}=2^3\\\\B)\ \underbrace{3\times3\times3\times3\times3}_{5}=3^5\\\\C)\ \underbrace{4\times4\times4}_{3}\times\underbrace{5\times5}_{2}=4^3\times5^2\\\\D)\ 9\times7\times9\times9\times7\times9=\underbrace{9\times9\times9\times9}_{4}\times\underbrace{7\times7}_{2}=9^4\times7^2

olasank [31]3 years ago
5 0

Answer:

a=2^2

b=3^5

c=4^3x5^2

d=7^2x9^4

Step-by-step explanation:

All you have to do is write the number that is already there and power it by number of times it is repeated.

If there are two different numbers in a question (like c and d) you should start with the smaller number and then follow with the larger on with a x/times symbol between them.

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Answer:

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Step-by-step explanation:

8 0
2 years ago
The figure shows a BD is 90° split by the Line BC the measure of ABC is X degrees in the measure of DBC is 3X +10° what is the v
dmitriy555 [2]

X=20° is your answer

Step-by-step explanation:

X+3x+10°=90°

4x+10°=90°

4x=(90-10)°

X=80/4

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4 0
2 years ago
You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assi
djyliett [7]

Answer:

45%

Step-by-step explanation:

Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%

4 0
2 years ago
Read 2 more answers
Solve the equation for x, where x is a real number (5 points): <br> 2x^2 + 7x - 9 = -3
Tanya [424]
Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                              x = [ -b ± √(b^2 - 4ac) ] / (2a)
                              x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
                              x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
                              x = [ -7 ± √(97) ] / ( 4)
                              x = [ -7 ± sqrt(97) ] / ( 4 )
                              x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
6 0
2 years ago
A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?
Allisa [31]

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

5 0
2 years ago
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