<h3>Option D</h3><h3>9 smaller pieces of string can be cut from Allan's string</h3>
<em><u>Solution:</u></em>
Given that,
Allan has a piece of string that is 5.4 meters in length
He needs some smaller pieces that are 0.6 meters in length
Therefore,
Total length of string = 5.4 meter
Length needed = 0.6 meter
Thus,
Thus, 9 smaller pieces of string can be cut from Allan's string
Answer:
Step-by-step explanation:
(fog)(x) = f(x)*g(x)
= 8x * (2x + 1)
= 8x * 2x + 8x * 1
= 16x² + 8x
Answer:
A. yes
B. yes
C. no
Step-by-step explanation:
The coordinates of each point are (x, y).
J (-2, -3)
K (0, 2)
L (1, -4)
After being scaled by 1.5 about the origin, the coordinates are (1.5x, 1.5y).
J (-3, -4.5)
K (0, 3)
L (1.5, -6)
A) The x-axis represents minutes used per month. The y-axis represents cost in dollars. Following the line of the graph indicating 60 minutes per month it shows Plan A costs $6 per month while Plan B costs $12 per month.
Plan A is cheaper.
Difference in prices = cost of Plan B for 60 minutes per month - cost of Plan A for 60 minutes per month
= 12 - 6 = $6 per month
b) To solve, identify where the lines of Plan A and Plan B intersect. Both lines intersect at 160 minutes per month.
Which plan costs less when less minutes are used? To solve, identify which line has a lower cost on the y-axis. Plan A costs less if less than 160 minutes are used.
Answer:
NP = 43
LNO = 137
MNP = 137
Step-by-step explanation:
MNL is a vertical angle to PNO, therefore they are equal
MNL = PNO
MNL = 43 = PNO
MNL and LNO are supplementary angles. They add to 180 degrees
MNL + LNO = 180
43+LNO = 180
Subtract 180 from each side
43-43 +LNO = 180-43
LNO = 137
LNO and MNP are vertical angles. Vertical angles are equal
LNO = MNP
137=MNP
