Answer:
A
Step-by-step explanation:
Answer: P = 2x + 2y + 10
Step-by-step explanation: The perimeter (P) of a rectangle is given as
P = 2L + 2W
By factorizing the right hand side of the equation we now have
P = 2(L + W)
However, the length of the rectangle is given as x + 6 and the width is given as y - 1
If P = 2(L + W), then
P = 2(x + 6 + {y - 1} )
P = 2(x + 6 + y -1)
P = 2(x + y + 5)
After expanding the bracket, we now have
P = 2x + 2y + 10
Answer:
Option (D)
Step-by-step explanation:
Given polynomial is,
2x³ - 3x² - 3x + 2
If (x - 2) is the factor of the given polynomial,
By synthetic division we can get the other factor.
2 | 2 -3 -3 2
<u> 4 2 -2 </u>
2 1 -1 0
Therefore, other factor of the given polynomial is (2x² + x - 1)
Now (2x² + x - 1) = 2x² + 2x - x - 1
= 2x(x + 1) -1(x + 1)
= (2x - 1)(x + 1)
Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)
Option (D) will be the answer.
Asteroids, planets, moons, and astronomy.
Since each type of drink (lemonade, water, and juice) is equally likely to be chosen, the probability of choosing a type of drink is 1 in 3 picks. Thus, in order to get all three types of drinks, one must pick 3 times.