A line that is parallel to another has exactly the same slope as the other.
so a parallel line to that line above, will have the same slope hmmm what is the slope of <span>y=3/4x+2 anyway?
well, notice, since it's already in slope-intercept form </span>
Answer: 2/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.
Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.
So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.
Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.
Answer:
a) See figure attached
b) 
c) 
So then the heigth for the building is approximately 30 ft
Step-by-step explanation:
Part a
We can see the figure attached is a illustration for the problem on this case.
Part b
For this case we can use the sin law to find the value of r first like this:


Then we can use the same law in order to find the valueof x liek this:


And that represent the distance between Sara and Paul.
Part c
For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

And if we solve for h we got:

So then the heigth for the building is approximately 30 ft
Answer:
y = 2x-5
Step-by-step explanation:
y = 2x+2
We know the slope of this line is 2 because it is in the form y =mx +b where m is the slope
We want a parallel line so it has the same slope
We can use the point slope form of the equation
y-y1 = m(x-x1)
y--1 = 2(x-2)
y+1 = 2(x-2)
Distribute
y+1 = 2x-4
Subtract 1 from each side
y+1-1 = 2x-4-1
y = 2x-5
This is in slope intercept form