
A=10, B=11, C=12, etc.


Now, the "only" thing that remains to do is solving the above equation.
While making this problem I only made sure it has a solution. I didn't try to solve it myself and I didn't know it will end up with such "convoluted" polynomial. Sorry to everyone who tried to solve it... m(_ _)m
I think the best way to approach it is using the rational root theorem since we know that
. Moreover we can deduce that
since there is
and
.
After you succesfully solve it, you should get the answer
.
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
One correct answer:
D
Because all of the sides are even, and it has no 90 degree angles.
DA SAWCE BOAWSS DIOES THE DIRTY DEEDS ON HIS ONWN
Answer:
(x+3)² + (y+4)²=25
Step-by-step explanation:
The question is on equation of a circle
The distance formula is given by;
√(x-h)²+ (y-k)²=r
The standard equation of circle is given as ;
(x-h)²+ (y-k)²=r²
The equation of this circle with center (-3, -4) and radius 5 will be;
(x--3)² + (y--4)²=5²
(x+3)² + (y+4)²=25