Number 1 is answer 1 Number 2 is answer 3 Number 3 is answer 4
Answer:
c
Step-by-step explanation:
sum of two numbers x and y is 140
x+y=140
the difference between x(the larger number) and y( smaller number)
x-y=32
To factor this quadratic equation into double brackets, you need to find two numbers that add together to equal 10, but also multiply to give you 9. These two numbers can be identified as 1 and 9, which will be the numbers you place in your parentheses as follows:
(x+1)(x+9)
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