Step-by-step explanation:
By Remainder Theorem, f(5) = 91.
=> (5)³ - 4(5) + k = 91
=> 125 - 20 + k = 91
=> 105 + k = 91
=> k = -14.
Answer:
There is a 3/20 chance that a red plastic marble will be taken out on random.
Step-by-step explanation:
This is because there are 14 yellow marbles, and 6 red marbles. Along with this, half of the red marbles are made out of plastic. This leaves 3/6 of the red marbles made out of plastic. When combined with the yellow marbles, you'll add 14 to the denominator, since there are 14 yellow marbles. (Red + Yellow = Total Number Of Marbles) This leads to a total count of 3 marbles of the 20 total marbles, being red and made out of plastic.
Answer:
units
Step-by-step explanation:
Given
Shape: Kite WXYZ
W (-3, 3), X (2, 3),
Y (4, -4), Z (-3, -2)
Required
Determine perimeter of the kite
First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

For WX:





For XY:






For YZ:






For ZW:







The Perimeter (P) is as follows:



units
Answer:
Division can be represented with ÷ as well.
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