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inessss [21]
4 years ago
11

Can someone the solve the 77th one

Mathematics
1 answer:
stiks02 [169]4 years ago
4 0
Prove sin^6 a + cos^6 a =1-3sin^2 a cos^ a 

1)  sin^6 a + cos^6 a = (sin^2 a)^3 + (cos^2 a)^3
2) a^3 + b^3 = (a+b) (a^2 - ab + b^2)
3)  (sin^2 a)^3 + (cos^2 a)^3 = (sin^2 a + cos^2 a) (sin^4 a - sin^2 a* cos^2 a) + cos<span>^4 a)
4) </span><span>(sin^2 a + cos^2 a) = 1
5 ) </span>sin^6 a + cos^6 a  = sin^4 a + cos^4 a - sin^2 a* cos^2 a<span>
6) a</span>^4 + b^4 = (a^2 +b^2 )- 2 a^2 b^2 
7) sin^4 a + cos^4 a -sin^2 a* cos^2 a =(sin^2 a + cos^2 a)-2sin^2 acos<span>^2 a
8) </span>sin^6 a + cos^6 a  = 1- 2sin^2 a cos^2 a - <span>sin^2 a* cos^2 a
9) </span><span>sin^6 a + cos^6 a  = 1- 3 sin^2 a cos^2 a</span>
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Which equation defines the graph of y=x^2 after it is shifted vertically 3 units down and horizontally 5 units left? A) y=(x-5)^
jeka94
The answers is B because you set x+5=0 and x=-5 so that means that the graph needs to be shifted 5 units to the left because 5 is negative and to move 3 units down you just put a -3 at the end of the equation like this y=(x+5)-3
3 0
4 years ago
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What is the quotient of 5 to the negative 6th power over 5 to the 3rd power
GarryVolchara [31]

Answer:1 over 5 to the 9th power (1 over 1953125).

Step-by-step explanation:

5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).

4 0
3 years ago
Ok another one i managed to fit in one screenshot this time
nika2105 [10]
C none of the above
3 0
3 years ago
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Mariah will deposit $1,530 in an account that earns 6% simple interest every year. Her
Vera_Pavlovna [14]

Answer:

After 3 years Mariah will have $1,805.40 while her sister Isabel will have $1,889.56.

Step-by-step explanation:

Since Mariah will deposit $ 1,530 in an account that earns 6% simple interest every year, while her sister Isabel will deposit $ 1,500 in an account that earns 8% interest compounded annually, and the deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts, to determine the balances of Mariah's account and Isabel account at the end of the 3 years the following calculations must be performed:

Mariah:

1,530 + ((1,530 x 0.06) x 3) = X

1,530 + (91.8 x 3) = X

1,530 + 275.4 = X

1,805.4 = X

Isabel:

1,500 x (1 + 0.08 / 1) ^ 3x1 = X

1,500 x 1.08 ^ 3 = X

1,500 x 1,259712 = X

1,889.568 = X

Therefore, after 3 years Mariah will have $ 1,805.40 while her sister Isabel will have $ 1,889.56.

3 0
3 years ago
Write a function rule for the table <br>x<br>2<br>3<br>4<br>5<br>f(x) <br>-8<br>-12<br>-16<br>-20
sweet-ann [11.9K]

Write a function rule for the table 5

f(x)

-8

-12

-16

x

2

3

4

-20

5

4 0
3 years ago
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