The x-coordinate of the midpoint is the average of the x-coordinates
of the ends.
The average of the ends is 1/2(-3+0) = -1.5 .
The y-coordinate of the midpoint is the average of the y-coordinates
of the ends.
The average of the ends is 1/2(-4+2) = -1
The midpoint of the segment is <em>(-1.5, -1)</em>.
Answer:
m<C = 36.87degrees
Step-by-step explanation:
Solve for the approximate measure of angle C.
From the given diagram;
AC is the hypotenuse
BC is adjacent to <C
Cos m<C = adj/hyp
Cos m<C = BC/AC
Cos m<C = 20/25
Cos m<C = 0.8
m<C = arccos (0.8)
m<C = 36.87degrees
Answer:
x=1, y=1. (1, 1). The answer is D).
Step-by-step explanation:
3x-5y=-2
4x-7y=-3
--------------
4(3x-5y)=4(-2)
-3(4x-7y)=-3(-3)
------------------------
12x-20y=-8
-12x+21y=9
--------------------
y=1
3x-5(1)=-2
3x-5=-2
3x=-2+5
3x=3
x=3/3
x=1
Answer: 4x² -4
Step-by-step explanation:
First, evaluate the exponent you'll get, 
+ 4x² -5 then evaluate to get, 1+ 4x² -5. Next, subtract the numbers, 1 + 4x² -5 then to get, -4 +4x². Lastly, rearrange the terms, -4 +4x² turns into, 4x² -4!
Answer:
The percentage change in volume between cylinder A and cylinder B is 50%
Step-by-step explanation:
The volume of a cylinder is given by the formula
V= πr^2h
For cylinder A, where r=7 and h= 5, π=22/7
V= π * 7^2 * 5
V= π * 49 * 5
V= 769.69 cubic inch
For cylinder B
V= 490π
V= 1539.3804 cubic inch
The percentage change in volume between cylinder A and cylinder B
=[ (VA- VB)/VB] *100
=( 1539.3804 - 769.69) / 1539.3804
= 0.5000 * 100
= 50%
