Answer:
-1
Step-by-step explanation:
See the attachment for the polynomial long division. The constant in the quotient is -1.
_____
Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.
That could be a first guess in a "guess and check" solution approach.
<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).
<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2
Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.
As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
Answer:
12 months
Step-by-step explanation:
Based on the question
4 books equals to 5 months
x books equals to 15months
To determine the value of X we will have to cross multiply,it means
5x=15×4
5x=60
Divide both sides by 5
x=12
Therefore,x=12
Which means 12 books equals to 12 months
Answer:
14 red marbles.
Step-by-step explanation:
If I am reading this correctly, since the probablitly of choosing a blue marble is 7/9, then 7/9 of the bag must be blue marbles. That amounts to 7/9*63=49 and the bag containing 49 blue marbles. Therefor, 63-49=14 is the number of red marbles in the mag.
Answer:
0
Step-by-step explanation:
First, you have to plug it into the formula to find the slope.
=
Since 0 divided by anything is 0, that gives us 0 as a slope and it would be horizontal.
