Answer:
10x - 3y = -109 .
Step-by-step explanation:
x^2 + y^2 = 109
Implicit Differentiation:
2x + 2y.y' = 0
y' = -2x/2y = -x/y
So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.
Equation of the tangent:
y - y1 = m(x - x1)
y - 3 = 10/3(x + 10)
y - 3 = 10/3 x + 100/3
3y - 9 = 10x + 100
-109 + 3y = 10x
10x - 3y = -109
Volume of a ball = 4/3 x PI x r^3
r = half the diameter.
Volume of 1 ball = 4/3 x PI x 2^3 = 33.5 cubic inches.
Multiply the volume of 1 ball by total balls:
33.5 x 4 = 134 cubic inches.
Step-by-step explanation:
-inf<= x <= inf
-inf<= y <= 4
It is a function
Answer:
Image result for Which measure of spread is least affected by the long tail in the graph?
IQR
Answer: The IQR is least affected by the long tail on the right of the graph. The IQR is the inter-quartile range. It is the length of the box in the middle of the graph. Having the long tail on the right does not affect the box.
Step-by-step explanation:
Answer:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
Step-by-step explanation:
At Image I, we have vertex at point (3,-2), and the length of the left side is of 1 unit(from -2 to -3).
In the larger figure, this length is of 2 units, so the dilation has a scale factor of 2 units. The rotation, due to the coordinates changing, is of 90º counterclockwise(if it was across the x-axis, only the y coordinate would change, but on image II, both coordinates change).
So the correct answer is:
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
