Answer:
The ratio of AC/CB=1/3
Step-by-step explanation:
We use the section formula:
We substitute the point A(-1.5,0) and B(4.5,8).
We plug in the points to get:
This is supposed to be equal to: (0,2).
We can equate, corresponding coordinates to find m and n.
This implies that:
Therefore the ratio is m:n=1:3
To determine the number of gallons of gasoline that is used, we need to know the rate of usage of gasoline. This rate would describe the number of gasoline in units of volume that is being used per distance in units of length. In this case, we need the rate in units of miles per gallon. From what is asked and the given values, we simply divide the rate to the the total distance that was traveled by the car. We calculate as follows:
Gallons of gasoline = 293 miles / 57 miles / gallon
Gallons of gasoline = 5.14 gallons
Therefore, about 5 gallons of gasoline was consumed by the hybrid car for a distance of 57 miles.
Step-by-step explanation:
The coefficient of the x term repesents the slope of the graph.
So we have y = 2x +- ( ).
We have to find our number term, so let's substitute x = 4 and y = 3.
(3) = 2(4) +- ( )
3 = 8 +- ( )
To make this right, the number term must be -5.
3 = 8 - 5
So the equation is y = 2x - 5.
Since vertical angles are equal you can put the same value to the opposite angles. Also, you were given a supplementary angle which are two angles added to 180 degrees. Of those 180 you were given 100. The angle next to the 100 degrees has a value of 80. With all this, you add all the angles together and put it equal to 180 which is what the angles of a triangle add up to. Then you combine like terms to get the value of X and just replace it for x. After that you just multiply and then add.
