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
Answer:
1. (x +1)(x - 1)
2. (x+5)(x-5)
3. (x+12)(x-12)
4. (x+14)(x-14)
5. (x+5)(x-7)
Step-by-step explanation:
The first 4 expressions can be factored with the difference of squares type of factoring.
For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are
Answer: Your answer should be C) 171! Hope this helps you!
Step-by-step explanation:
Given:
The descriptions and equations. The equations are
To find:
The correct description for each equation and match them.
Solution:
We know that, "+" is used for more and "×" is used for times.
Additive: y is 4 more than x.
Additive: x is 4 more than y.
Multiplicative: y is 4 times x.
Multiplicative: x is 4 times y
Therefore, the correct description for the equation is "Multiplicative: y is 4 times x
" and the correct description for the equation is "Additive: y is 4 more than x.
"
Diagonals of a parallelogram bisect each other. It is not relevant that PN=9. since AO=4 then AM=4
