Answer:
Step-by-step explanation:
nth term = a + (n-1)d
9th term = 4 + 8 * 2
= 4 + 16
=20
The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
I assume that the equation is supposedly written as, y = (76)(1.013^x). This means that the population of the United States increases by 1.3% every year. If we substitute 0 to the value of x,
y = 76(1.013^0) = 76(1) = 76
I assume that the unit for y in the equation is million. Therefore, the answer is letter B. 76 million.
hey its -100 percent. the negative to show decrease.
Answer:
X+4
Step-by-step explanation:
Length is 4 more than width.
X+4= length
First box is 8
Second box is 13
Third box is 20
