Answer:
The coordinates of the midpoint are;
(-6.5, -3)
Step-by-step explanation:
Here, we want to get the midpoint of the line segment
To get this, we use the midpoint formula;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
Thus;
(x,y) = (8 - 21)/2, (-10 + 4)/2
(x,y) = -13/2 , -6/2
(x,y) = (-6.5 , -3)
51=?
60 100
Then you cross-multiply the 51 and the 100 and get 5,100.
Next you take the 5,100 and divide it by the 60 which gives you your final answer of 85%.
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer:
-21
Step-by-step explanation:
1-2+4-8+16-32
=-21
Answer:
Slope = 
Step-by-step explanation:
We can define the slope as the "change in y values" divided by the "change in x values".
By change in, we mean, 2nd point MINUS the first point values.
The points given is:
(1,4) & (-1,-1)
<u>Change in y value:</u>
-1 - 4 = -5
<u>Change in x value:</u>
-1 -1 = -2
Slope is -5/-2 = 5/2
There is no answer choice. The correct answer is 5/2
