Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.
The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.
Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).
16x - 8 can be 8(2x - 1)
The distributive property
hope this helps
Answer:
Step-by-step explanation:
6 - (2 - 4x)
sophia : 6 + 2 + 4x
sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.
ursula : 6 - (-2x)
ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x
a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
To find:
The current which will produce the maximum power.
Solution:
We have,
Differentiate with respect to x.
...(i)
To find the extreme point equate P'(x)=0.
Divide both sides by -30.
Differentiate (i) with respect to x.
(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
Since angle G is the largest angle, the opposite side, JH, is the longest. The order of the side lengths from longest to shortest is JH, HG, GJ
