Answer:
C
Step-by-step explanation:
i took the test
Answer: D
Step-by-step explanation:
To find the perimeter of the square, you want to first find the length of each side. Since the figure is a square, we know that each side is equal to each other. We can set the expressions equal to each other to find x.
[subtract both sides by 1/2x]
[add both sides by 1]
[multiply both sides by 4]
Now that we know x, we can plug it into each expression to find teh length of each side.
[multiply]
[subtract]
Now that we know each side is equal to 23, we can add all the sides together to find the perimeter.
23+23+23+23=92 or 23×4=92
Since we know that the perimeter is 92 units, the answer is D.
D.
slope = -3
passing thru(4,3)
y = mx + b
3 = -3(4) + b
b = 15
equation
y = -3x + 15
E.
(4,5)(6,9)
slope = (9-5)/(6-4) = 4/2 = 2
passing thru (4,5)(6,9)
y = mx + b
5 = 2(4) + b
b = -3
equation
y = 2x - 3
Answer:
13
Step-by-step explanation:
Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.
Make a table like this (each vertex with its x- and y-coordinates):
Pt x y
A 3 6
B 6 5
C 5 1
D 2 2
A 3 6
Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15
C 5 1 6
D 2 2 10
A 3 6 12
Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
Add all the differences.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
+____
-26
The area of the polygon is the absolute value of half of the sum of the differences.
area = |-26/2| = |-13| = 13
9514 1404 393
Answer:
$125 per year
Step-by-step explanation:
In the 2 years from 2015 to 2017, the spending on lunches increased by ...
$800 -550 = $250
That is an average per year of ...
$250/(2 yr) = $125/yr . . . . average dollar increase per year
_____
<em>Additional comment</em>
For costs, it is often true that they follow an exponential curve, not a linear one. Ed's spending increased by a factor of 800/550 = 16/11 in the two years, so an average percentage increase of √(16/11) -1 = 20.6% per year.