Answer:
The slope of the line is: 3
Step-by-step explanation:
Given the points
(-3, -6) and (3, 12)
Determine the slope between (-3, -6) and (3, 12) using the formula
where
m is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
now substitute (x₁, y₁) = (-3, -6) and (x₂, y₂) = (3, 12) in the slope formula
Therefore, the slope of the line is: 3
Answer:
40 % of the snacks were carrot sticks.
Step-by-step explanation:
Total number of carrot sticks in lunch = 18
Total number of apple slices in lunch = 27
So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices
= 18 + 27 = 45
Now,
=
⇒Percentage of Carrot Sticks = 40%
Hence, 40 % of the snacks were carrot sticks.
284=2x+2(x+40)
284=4x+80
204=4x
51=x
dimensions 51 ft by 91ft
Answer:
-x^2+5x+3
Step-by-step explanation:
Remove unnecessary parenthesis.
3x-2-x^2+2x+5
Collect like terms.
5x+3-x^2
Use the commutative property to reorder the terms.
-x^2+5x+3
Answer:
11 yards
Step-by-step explanation:
The room has two sides both measuring 10 feet 5 inches. This gives a total of 20 feet 10 inches. It also has the other two sides both measuring 6 feet 1 inch and that too gives a total of 12 feet 2 inches. Adding them all together results in 32 feet 12 inches. Better still, the perimeter of the room is derived as;
Perimeter = 2 (L + W)
Perimeter = 2 (10'5" + 6'1")
Perimeter = 2(16'6")
Perimeter = 32'12"
Having in mind our conversion rate of 12 inches equals 1 foot, the results can be properly expressed as 32 feet plus 1 foot which gives us 33 feet.
If the perimeter of Wendy's room is now given as 33 feet, the conversion rate between feet and yards can now be applied. Having been given that
3 feet = 1 yard
Then 1 yard = 3 feet/3, that is
y = 3/3
Hence,
y = 33/3
y = 11
The results show that Wendy would needs to buy a total of 11 yards of wallpaper border.
