The point (-1, 5) is located here:
Yes, I did draw that in paint just for you.
If you move the negative on the left side of the second equation over to the right side, then we can see that the equation is equivalent to
.
Remember that an equation
represents a line with slope
and y-intercept
. Since both equations given have a slope of -2, but have different y-intercepts, they are
parallel.
Answer:
21 windows
Step-by-step explanation:
colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y
Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).
Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7
Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows
Answer: B. 95.0
Step-by-step explanation:
In statistics , the famous empirical rule says that " if the data is normally distributed then 68% of the observations will be contained within 
standard deviations from the arithmetic mean, 95% of the observations will be contained within 
standard deviations from the arithmetic mean and 99.7% of the observations will be contained within 
standard deviations from the arithmetic mean".
Hence, B is the correct answer.
