42 and 63 both are at the rate of 2 to 3 and they add up to 105
It means when the planes cross each other it is perpendicular to each other
Cross multiply
20(x+1)=14(x-1)
20x+20=14x-14
Subtract 14x on each side giving you
6x+20=-14
Subtract 20 on each side giving you
6x=-34
x=-34/6. Simplifying that you get x=-17/3. I hope this helps!!!
Answer:
Considering the average fence size is 4 feet Kara will need 24 fences
Step-by-step explanation:
94/4= 23.5
simplified 24
Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting
in (i), we get

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.