Combine like terms
7n+5=26
So n equals 3
Step-by-step explanation:
coefficients is 3
constants are 2 and 7
The top of the flag pole touched the ground 12 feet from the base.
Since it cracked 9 feet from the base, 9 is the vertical leg of the right triangle formed. The rest of the flagpole, 24-9=15, is the hypotenuse, as it is slanted down to the ground. The missing side is the horizontal leg, which we will call b:
9²+b²=15²
81+b²=225
Subtract 81 from both sides:
81+b²-81=225-81
b²=144
Take the square root of both sides:
√b²=√144
b=12
The equation of the line for this question can be stated as,
What does y = when x is -1 or
What does x = when y is 2
So since the slope of the line is 2, we can assume that B and C must be the answers but since you want one answer we need to be more accurate.
The answer is C
Because when y = 0 x = -1 and when y = 2 x = 0
9514 1404 393
Answer:
21x² +20x +100 = 0
Step-by-step explanation:
We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...
The sum of the roots of the new equation will be ...
-b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))
The product of the roots of the new equation will be ...
c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)
Using the above relations for (α+β) and αβ, we find that ...
-b' = (-b)(1 +1/c)
c' = c + 2 + 1/c
For the given equation, our definition of b and c is ...
b = 2/3
c = 7/3
so the new equation has values ...
b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21
c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21
So, the equation with the roots of interest is ...
x² +20/21x +100/21 = 0
Multiplying by 21 gives ...
21x² +20x +100 = 0
