Answer: 9 4/36 (11.111%)
Step-by-step explanation:
Some things you need to know:
1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.
2) When two lines are parallel, the slopes are the same.
3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
example: 3/4 --> -4/3.
3/4 * -4/3 = -12/12 = -1
4) To find the value of b, substitute the point into the equation.
5) Convert the equation to slope y-int. form to find the slope.
6) When a line has an undefined slope, the slope y-int. will look either like
y = __ (forms horizontal line) or x = __ (forms vertical line).
To find the perpendicular of these lines, turn y to x / x to y.
To find the value of __, look at the point located in the line, so if x = ___
passes through (5,3), then x = 5 because x = 5 in the point. So the
equation would be x = 5.
Use online practice tests and other sources if you don't understand.
The distance between Pittsburgh and Cleveland is 200 miles
<u>Solution:</u>
Given that,
Plane travels from Pittsburgh to Cleveland in 2 hours
Average speed of plane = 100 miles per hour
<em><u>To find:</u></em> Distance between these two cities
<em><u>The relation between speed distance and time is given as:</u></em>
![Speed = \frac{distance}{time}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7Bdistance%7D%7Btime%7D)
On rearranging the above formula, we get
![distance = speed \times time](https://tex.z-dn.net/?f=distance%20%3D%20speed%20%5Ctimes%20time)
Distance between these two cities = ![100 \frac{miles}{hour} \times 2 hour](https://tex.z-dn.net/?f=100%20%5Cfrac%7Bmiles%7D%7Bhour%7D%20%5Ctimes%202%20hour)
![Distance = 200 miles](https://tex.z-dn.net/?f=Distance%20%3D%20200%20miles)
Thus both the cities are 200 miles apart
<h2>y = 252</h2>
Step-by-step explanation:
To find the value of y when z = 14 we must first find the relationship between them
The statement
y varies directly as z is written as
y = kz
where k is the constant of proportionality
when y = 180
z = 10
180 = 10k
Divide both sides by 10
k = 18
The formula for the variation is
y = 18z
When z = 14
y = 18(14)
<h3>y = 252</h3>
Hope this helps you