Answer:
(9,9)
Step-by-step explanation:
Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).
To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.
This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.
The x values are 4 and 14. The midpoint is
14-4=10
10/2=5 (the midpoint is 5 away from each reference point)
4+5=9
The midpoint is 9 for the x values. This means the x-value for the point is 9.
Repeat for y-values:
10-8=2
2/2=1
8+1=9
The midpoint is 9, therefore it has the y coordinate of 9.
Therefore the coordinates for the point are (9,9).
Hope this helped!
Answer:
Given,
2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,
So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3
Make two number lines,
First one represents the multiple of 2 and second one represents the multiples of 3,
By the double number line ( shown below ),
It is clear that,
For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.
9514 1404 393
Answer:
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
Step-by-step explanation:
The y-intercept is the function value when x=0. The table shows f(0) = 1. The equation shows g(0) = 1, so the y-intercepts are equal.
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The value of f(x) changes by (11 -1) = 10 when the value of x changes by (2 -0) = 2. That means the slope of f(x) is 10/2 = 5.
The slope of g(x) is the x-coefficient, 4. We note that 5 > 4, so the slope of f(x) is greater than for g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
Can we get a picture please