Answer:
24.56 (parallelogram)
Step-by-step explanation:
4 sides of ABCD: AB, BC, AD, DC
perimeter = AB + BC + AD + DC
distance of two points: √(x-x')²+(y-y')²
AB = √3²+4² = √25 = 5
BC = √7²+2² = √53 = 7.28
AD = √7²+2² = √53 = 7.28
DC = √3²+4² = √25 = 5
P = 5*2 + 7.28*2 = 24.56
Answer:
Step-by-step explanation:
Given that a curve in polar coordinates is given by:
r=9+3cosθ
a) At point P, we have

Substitute to get

b) Cartesian coordinate is

c) At the origin r =0
when r =0
we have

Since cos cannot take values as -3 it doe snot pass through origin.
Answer:
A shift to the right 8 units
Step-by-step explanation:
Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.
Answer: y = -0.2x + 1
Step-by-step explanation: Find the y intercept (b) and then find the slope (m) and use the equation y = mx + b.
Answer:
X = {0, 1, 2, 3, 4}
Step-by-step explanation:
If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.
Let's see some examples:
If the PIN is 0000 then X = 4
If the PIN is 2045 then X = 3
If the PIN is 7546 then X = 0
From the previous examples, we can see that the possible values for X are 0, 1, 2, 3, 4.
Thus X = {0, 1, 2, 3, 4}