Point A is (-2,2) and point C is(3,0) so the midpoint is
Choice A
Choice A
What is the remainder when a^3 - 4 is divided by a+2? a)0 b)-6 c)-2 d)-12
1 answer:
Answer:
<em>The remainder is -12. Choice d)</em>
Step-by-step explanation:
<u>The Remainder Theorem</u>
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial
To evaluate the remainder when P is divided by a+2, we only have to find P(-2):
The remainder is -12. Choice d)
You might be interested in
Answer:
(B) Time (min) 2 , 3 , 7 , 9
Temperature (°C) 60.6 , 64.3 , 79.1 , 86.5
Step-by-step explanation:
The rate of change is found by using the formula for slope:
For option A, this gives us
m =(64.4-61.0)/(3-2) = 3.4/1 = 3.4
This is not more than relationship A.
For option B, we have
(64.3-60.6)/(3-2) = 3.7/1 = 3.7
This is more than relationship A.
For option C, we have
(65.3-61.8)/(3-2) = 3.5/1 = 3.5
This is not more than relationship A.
For option D, we have
(64.6-61.0)/(3-2) = 3.6/1 = 3.6
This is not more than relationship A.
To write the equation of line in y = mx + b form, we need
to identify the slope of the line and the y-intercept.
I would start by setting up a coordinate
system and plotting both points.
I have shown this below.
Let's start with our first point, (3, -1) which we call point A.
Now our second point, (6, 1) which we call point B.
To get from point A to point B, we rise 2 units and run 3 units.
So we know that our slope is 2/3.
However, we need the y-intercept.
Remember, this is the point where the line crosses the y-axis.
Since point B is farther from y-axis,
we need to go in the other direction.
So starting at point A, we go down 2 and to the left 3.
Remember, -2/-3 is 2/3 since a negative/negative = positive.
Now plot point C.
Notice that point C is on the y-axis.
It has the coordinates (0,-3).
Now we know our slope and y-intercept.
So our equation reads 2/3x - 3.
The slope is positive since the line is going up.
