Answer:
1. y-8=0
2. 7x=y-4
Step-by-step explanation:
1. This should be in the form y=something to be parallel, as the form y=mx+b has m=0 in this example. As a result, we can write the first option as y=8, making this our answer
2. In the form y=mx+b, m is 7 here, so we want to find something else that multiplies x by 7. 1 is x=7, not 7*x, so this is not correct. -7 != 7, so the second one is not right either. The third one can be refigured to be 7x+4=y, and m=7 here, so this is right
Length of a scale = 30 cm
Thickness of a scale = 5mm
To find their ratio let us first make their units equal .
30 cm = 30 × 100 mm = 300 mm
Length of a scale = 300 mm
Thickness of a scale = 5 mm
Ratio of thickness of scale to length of scale =
= 5 : 300 = 5/300
Let us simplify 5/300 by dividing it's numerator and denominator by 5 .
= 5 ÷ 5 / 300 ÷ 5
= 1/60
= 1 : 60 mm
Therefore , the ratio of the thickness of scale to the length of scale is 1 : 60 mm .
Attached is a drawing to set up the problem, hopefully that helps.
The red lines are tracing the rowing and walking to get to other side.
dR = distance rowed
dw = distance walked
x = the angle in which to start rowing initially
dR can be found by using Law of cosines
dw is arc length, which is just radius*arc
next we need t set up a function for Time in terms of x.
This is so we can minimize the time it takes to get to other side.
Time = distance/rate
Finally, take derivative and set equal to 0
Once you solve for x, plug it back into Time function to obtain final answer.
An equilateral parallelogram is a rhombus that has 4 equal sides