Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =
Rate of change = 9
Step-by-step explanation:
A. parallelogram & Rhombus
B. trapezium
Answer:
15.5 feet
Step-by-step explanation:
Find attached to this answer the appropriate diagram.
We would be using the Pythagoras Theorem to solve this question
The formula is given as:
a² + b² = c²
Where a = opposite side
b = adjacent side
c = hypotenuse
From the question,
a = opposite side = unknown
b = adjacent side = 7 feet
c = hypotenuse = 17 feet
We are to find the opposite side
Using the formula
a² + b² = c²
a² = c² - b²
a² = 17 feet² - 7 feet ²
a² = 289 feet² - 49 feet²
a² = 240 feet²
a = √240 feet²
a = 15.491933385 feet
Approximately 15.5 feet
Therefore, the kite is 15.5 feet high up in the tree.
The answer is: " $ 768 " .
______________________________________
12 months = 1 year.
$64 / mo. * (12 mo.) = $ (64 * 12) = $ 768 .
______________________________________
Answer:
<em><u>$18.50</u></em>
Step-by-step explanation:
$647.50 ÷ 35 (as its the hours they work).
You do this to find the value of one hour..
= $18.50 Every hour!
