In order for two lines to be parallel, they must have the dame slope. In this case, it is 7/6. So the new line Will have the next form:
y = 7/6x + b
Now, assuming that the new line passes through the point (1,1):
1 = 7/6*1 + b
b = -0.17
Replacing b:
y = 7/6x - 0.17
Answer:
5 cm
Step-by-step explanation:
Let's assume this is a number line were given.
Distance of S from 0 = 4 units
Distance of T from 0 = 9 units
Length of ST = the difference between T and S
ST = |9 - 4| = 5 units = 5 cm
This means S and T are 5 cm apart.
If the bacteria is tripling every 10 minutes, that means the "rate of increase" on that period is 200%, so if say the current amount is "c", 200% of "c" is just 2c, so c + 2c is 3c, a tripled amount.
Answer:
2) 162°, 72°, 108°
3) 144°, 54°, 126°
Step-by-step explanation:
1) Multiply the equation by 2sin(θ) to get an equation that looks like ...
sin(θ) = <some numerical expression>
Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)
____
2, 3) You need to review the meaning of "supplement".
It is true that ...
sin(θ) = sin(θ+360°),
but it is also true that ...
sin(θ) = sin(180°-θ) . . . . the supplement of the angle
This latter relation is the one applicable to this question.
__
Similarly, it is true that ...
cos(θ) = -cos(θ+180°),
but it is also true that ...
cos(θ) = -cos(180°-θ) . . . . the supplement of the angle
As above, it is this latter relation that applies to problems 2 and 3.
Answer:
We have to put the data for purchased item in a frequency table.
Step-by-step explanation:
The diagram is attached below.
Firstly we have to see that how many customers fall under range
.
Then
.
Then
.
Finally
.
If we go through the items purchased by customers we can see that item ranges from
have
customers.
Item purchased range from
have
customers.
Item purchased range from
have
customers.
Item purchased range from
have
customers.
Total number of customers = 
As we have total
number of customers and they have varied quantity of items purchased.