Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
A. (0,-6)
plug in the area to the area formula for a triangle (A=1/2bh). so 28=1/2b(4) [since the height is 4]. divide by 4 (7=1/2b). multiply by 2/divide by 1/2 (14=b). the base equals 14 units long.
B. y=2/3x+4
find the slope of the line (2/3)
the y-intercept is 4
Answer:my
The height of the stack will be 9.15×10^20_m
Or 9.15×10^17_Km
Which is 6 billion times more more than the distance to the sun
Or 22.9 million times further than the star Proxima Centauri
Step-by-step explanation:
Given
Avogadro's number = 6.02×10^23 particles
And the thickness of a penny = 1.52_mm
The height of the stack will be
1.52 × 6.02 ×10^23 = 9.15×10^23_mm 9.15×10^20_m
Answer:
8 3/8
Step-by-step explanation:
