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).
For this case we have the following equation:
We must solve the equation by following the steps below:
We subtract 1 from both sides of the equation:
On the right side of the equation we have that different signs are subtracted and the sign of the major is placed:
We add x to both sides of the equation:
We divide between 4 on both sides of the equation:
Thus, the correct option is option B
Answer:
Option B
9514 1404 393
Answer:
(c) 2
Step-by-step explanation:
A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.
2 is a zero of the expression
<span>4(6) + 7 (5 - 3 )
= 24 + 7(2)
= 24 + 14
= 38
answer
</span><span>D: 38</span>
Answer:
Point estimate for the population variance = 3.92 * .
Step-by-step explanation:
We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;
X X -
1.13 1.13 - 1.188 = -0.058 3.364 *
1.15 1.15 - 1.188 = -0.038 1.444 *
1.15 1.15 - 1.188 = -0.038 1.444 *
1.24 1.24 - 1.188 = 0.052 2.704 *
1.27 1.27 - 1.188 = 0.082 <u> 6.724 * </u><u> </u>
<u>= 0.01568 </u>
Firstly, Mean of above data, = = = 1.188
Point estimate of Population Variance = Sample variance
= = = 3.92 * .
Therefore, point estimate for the population variance = 3.92 * .