q = unknown number
9q + 6
[Six more(addition) than the product(multiplication) of nine and a number(q).
So 6 is added to 9q(9 times q).]
Since you know q = 6, substitue/plug it into the equation:
9q + 6 Plug in 6 into "q" since q = 6
9(6) + 6
54 + 6
60
Answer: x^2 + 6x + 8
Step-by-step explanation: (x+2)(x+4) = x^2 + 4x + 2x + 8
= x^2 + 6x + 8
Answer:
541.1 square feet
Step-by-step explanation:
A = πr²
1) convert in. to ft because answer is in sq. ft
78 in => 6.5 ft
2) Find radius of entire area
6.5 ft + radius of inner circle
6.5 + 10 = 16.5
3) Calculate area of combined circles
A = π(16.5)²
A = 855.3 sq. ft
4) Find area of inner circle
A = π(10)²
A = 314.2 sq. ft
5) Subtract area of inner circle from combined area
855.3 sq ft - 314.2 sq. ft =<u> 541.1 sq. ft</u>
Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = - =
product of roots = = - 3, then
sum of new roots = +
=
= = -
product of new roots = ×
= = -
Hence the required equation is
x² + x - = 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )