9514 1404 393
Answer:
24.1 units
Step-by-step explanation:
This is done using the Pythagorean theorem (or distance formula) to find the lengths of the sides.
For each side of the figure (except the bottom horizontal), you need to identify the dimensions of the right triangle whose hypotenuse is the side of interest. For example, LM is the hypotenuse of a triangle 4 units high and 1 unit wide. The Pythagorean theorem tells you LM has a length of ...
LM = √(4^2 +1^2) = √17 ≈ 4.12
Similarly ...
KL = √(2^2 +2^2) = √8 ≈ 2.83
JK = √(1^2 +6^2) = √37 ≈ 6.08
NJ = √(5^2 +1^2) = √26 ≈ 5.10
Of course, the length of MN is found by finding the difference of the x-coordinates:
MN = 3 -(-3) = 6
Then the perimeter is the sum of side lengths:
4.12 +2.83 +6.08 +5.10 +6.00 = 23.17 ≈ 24.1 . . . units
Compare this function to y=ax^2 + bx + c. You can readily see that a=2, b=0 and c=6.
The x-coord. of the vertex is at x = -b / (2a). Subbing the given values for a and b, we get
x = -(0) / (2(2) = 0. At x = 0, y = 6, so the vertex of this parabola is (0,6). It opens upward.
Given:
Terri plans to charge a base fee of $10 plus $7 per hour for babysitting.
To find:
The function that could be used to represent her total charge for the babysitting service, y, as a function of the number of hours she babysits, x.
Solution:
Let y be the total charge for the babysitting service for x hours.
Base fee = $10
Additional fee for one hour = $7
Additional fee for x hour = $7x
Total fee = Base fee + Additional fee for x hours
Therefore, the equation of required function is .
Answer:
A.) The temperature fell in the last minute, but less than it fell in the minute before.
Step-by-step explanation:
Given that for three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.
i.e. it temperature is represented by T, temperature is variable with
first derivative T' <0 and second derivative T">0
i.e. rate of change of temperature is negative or temperature is falling down in 3 minutes.
But the rate of rate of change of temperature was positive i.e. the rate of change of temperature is increasing as time increases.
So correct option would be option A
A.) The temperature fell in the last minute, but less than it fell in the minute before.
Answer:
X=-14
Step-by-step explanation:
16+22+x=24
38+x=24
x=24-38
x=-14
