Answer:

Step-by-step explanation:
We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.




Now we can plug the value of
back into the expression we were given for the line KL.


Answer:
A) -4
B) 4 units apart
C) no values of x
Step-by-step explanation:
1) slope of m: (3-2)/(10-8) = ½
m(x) = ½x + c
2 = ½(8) + c
c = -2
m(x) = ½x - 2
m(16) = 6
h(4) = (4-2)²/2 = 4/2 = 2
h(4)-m(16) = 2-6 = -4
B) y-intercept of:
*h(x) = ½(0-2)² = 2
*m(x) = -2
from the equation found before
2 - (-2) = 4 units apart
C) m(x) = (x-4)/2
m(x) > h(x)
(x-4)/2 > ½(x-2)²
x-4 > x²-4x+4
x²-5x+8 < 0
(x - 2.5)² + 1.75 < 0
Never negative
Answer:
6 + 3
+ 2
+ 
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Given
(3 +
)(2 +
)
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 +
) +
(2 +
) ← distribute both parenthesis
= 6 + 3
+ 2
+ 
Answer: 
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated with the following formula:

Where "l" is the length, "w" is the width and "h" is the height of the rectangular prism.
In this case, you can identify that the length, the width and the height of this rectangular prism given in the exercise, are:

Then, knowing its dimensions, you can substitute them into the formula:

Finally, evaluating, you get that the volume of that rectangular prism is:

Answer:
A
Step-by-step explanation:
Our angle is -312 degrees, but because angles on the unit circle are always periodic and repeat every 2π or 360°, that means if we add a certain multiple of 360 to -312, we should get an angle with the terminal side pointing in the same direction.
Let's add 360 to -312:
-312 + 360 = 48°
Thus, the answer is A.