Answer:
60 square units; 40 units
Step-by-step explanation:
to find the missing side you use the pythagorean theorem
a^2 + b^2 = c^2
8^2 + b^2 = 17^2
64 + b^2 = 289
b^2 = 225
b = 15
area is l*h*1/2
15 * 8 * 1/2 = 60 square units
perimeter is adding them all
15 + 8 + 17 = 40 units
1) Mean
The mean is given by the sum of the data divided by the number of data (4, in this case):

2) Standard deviation
The standard deviation is given by:

where

is the mean, that we already found at point 1), and N=4. Substituting data, we have:

Answer:
y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.
I believe the equation to be
. If you meant
, please let me know.
Thanks kindly.
Step-by-step explanation:
If (-1,y) lies on the graph of
, then by substitution we have:
.
We just need to simplify to determine y:
Multiply the 2 and -1:

Use reciprocal rule for exponents to get rid of the negative:

just means
:

.
Answer:
- 
Step-by-step explanation:
Find slope using the slope formula : 
Plug in the given points : 
Add the numbers : 
Calculate the difference : 
Reduce the fraction : -
Solution : -
Answer:
We want to graph the inequality:
3x - 2y ≤ 6
The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.
3x ≤ 6 + 2y
3x - 6 ≤ 2y
(3/2)x - 6/2 ≤ y
(3/2)x - 3 ≤ y
or:
y ≥ (3/2)x - 3
Because we have the symbol ≥
The points on the line are solutions, then the first part is to graph the line:
y = (3/2)*x - 3
Next, we have:
y equal to or larger than (3/2)*x - 3
Then we need to shade all the region above that line.
The graph can be seen below.