Answer:
Step-by-step explanation:
If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula
. You can also graph the two points and use rise over run. 
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.
In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.
x = -3
y = |-3 + 2| = |-1| = 1
x = -2
y = |-2 + 2| = |0| = 0
x = -1
y = |-1 + 2| = |1| = 1
x = 0
y = |0 + 2| = |2| = 2
x = 1
y = |1 + 2| = |3| = 3
x = 2
y = |2 + 2| = |4| = 4
x = 3
y = |3 + 2| = |5| = 5
<u> x ║ y</u>
-3 1
-2 0
-1 1
0 2
1 3
2 4
3 5
Obtaining the graph shown in the image attached.
.
Answers and Step-by-step explanation:
12: The 5s are worth a lot more than the 2s. The 5s are worth fifty thousand and five thousand whereas the 2s are only worth two hundred and twenty.
13: She needs 4 forks (2000 - 1996 = 4)
She needs 255 knives (2000 - 1745 = 255)
She has 226 extra spoons ( 2116 - 2000 = 116)
1quart=2pints=4cups
300people=300cups
300cups=xquarts
4 cups =1 quart
300/4=75
300cups=75quarts
75 quarts needed
1gallon=4quarts
75/4=18.75gallons
or 37.5 times of their recepie
answer is 18.75 gallons or 75 quarts or 37.5 times of their original recipe<span />
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area =
× Base × Height
Plugging values in formula, we get
20 = 




Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>