Hello from MrBillDoesMath!
Answer:
sqrt(105)
(which is approximately 10.25 centimeters
)
Discussion:
Call the unknown leg"a". From the Pythagorean theorem
8^2 + a^2 = 13^2 => subtract 8^2 = 64 from both sides
a^2 = 13^2 - 64 => as 13^2 = 169
a^2 = 169 - 64 = 105 => take the square root of both sides
a = sqrt(105) which is approximately 10.25 centimeters
Thank you,
MrB
<u>Explanation</u>:
<em>Remember</em>, the term analytics (or data analytics) refers to the act of carefully examining raw data in other to observe if there are any trends.
a) The following are three cases in our daily life/work where analytics could be applied:
- analyzing changes in cell phone charges based on call duration
- analyzing changes in our sleeping pattern based on hours spent on electronic gadgets
- analyzing changes in train ticket sales based on the time of the day.
b) For example, to analyze changes in my sleeping patterns based on hours spent on electronic gadgets, I need to first know
- how many hours of sleep do I have every day in a particular period of time,
- how many hours have I spent on electronic gadgets daily for a period of time,
- Next, I need to answer based on the data; <em>Is the amount of hours I sleep lower than expected?</em> or <em>Do I spend more time on electronic gadgets than sleep?</em>
Y = a(x - h)² + k • (h, k) is the vertex • x = h is line of symmetry so y = ax² - 2x - 3 y/a = x² - 2/ax - 3/a y/a + 3/a = x² - 2/ax y/a + 4/a= x² - 2/ax + (-1/a)² ← completing the square y/a + 4/a= (x - 1/a)² y/a = (x - 1/a)² - 4/a y = a(x - 1/a)² - 4 so since you've been given h = 1 then 1/a = 1 and so a = 1
Answer:
See the graph of the given linear equation shown below.
Explanation:
Given the linear equation : x+y = -2
We make a table for values of x and y;
x y = -2-x
0 -2
-2 0
1 -3
Now, plot these three points (0, -2) , (-2, 0) and (1, -3) on the coordinate plane.
You can see the graph as shown below.
