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emmasim [6.3K]
3 years ago
7

WILL MARK BRAINLIEST

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520

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Nadya [2.5K]
Suzuki after line 3 where it says 42 / 5 +16 she shouldn’t have added 5 and 16 she needs to follow pemdas and do 42/5 which is 8.4 then she needs to add 8.4 and 16 to get an answer of 24.4
6 0
3 years ago
What is the approximate solution to the equation 3t=29 ? 0.3263 3.0650 3.3672 9.6667
Norma-Jean [14]

Answer:

9.6667

Step-by-step explanation:

3t=29

Divide each side by 3

3t/3 = 29/3

t = 29/3

Three goes into 29  nine times  (3*9 = 27 ) with 2 left over

t =  9 2/3

We know 1/3 = .3 repeating

so 2/3  = .6 repeating


t = 9 .6 repeating

7 0
3 years ago
Read 2 more answers
Please help me on this question.
scoundrel [369]

Answer:

f(1)=-48(-\frac{1}{4} )

= 12

f(n)=f(n-1)\:. (-\frac{1}{4} )

<u />

<u>OAmalOHopeO</u>

4 0
2 years ago
Read 2 more answers
Amanda, Bryan, and Carl are about to compete in 100
Sveta_85 [38]

9514 1404 393

Answer:

  6

Step-by-step explanation:

Any of the three can be in first place.

Any of the remaining two can be in 2nd place.

The remaining swimmer will be in 3rd place.

There are 3 × 2 × 1 = 6 possible orderings of the swimmers.

7 0
3 years ago
Use the diagram to determine which statement is true
hichkok12 [17]
A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9

B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6

C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16

D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25

The answer is D.
5 0
3 years ago
Read 2 more answers
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