Answer:
D. y-5 = 3(x+1)
Step-by-step explanation:
Slope of the perpendicular line is 3.
Slope intercept form is,
y-5 = 3 (x-(-1))
y-5 = 3(x+1)
9514 1404 393
Answer:
5/8
Step-by-step explanation:
The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.
Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.
The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.
Answer:
Step-by-step explanation:
You have 52 cards in a deck and 13 cards of each suit.
The probability of picking a diamond in a complete deck of cards is:
Or the probability is 13 put of 52.
Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:
If we simplify it you will have a probability of:
Answer: 
Step-by-step explanation:
Given
The height of the cylinder is 
The volume of the cylinder is 
The volume of the cylinder is the product of area and height
Insert the values
Thus, the area of the cross-section is
Answer:
Domain (0, ∞)
Range (-∞, ∞)
Step-by-step explanation:
The domain is the input values
The input is from 0 to infinity
Domain (0, ∞)
The range is the output values
The input is from negative infinity to infinity
Range (-∞, ∞)
