<h3>
Answer: the y intercept is (0, 4)</h3>
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Explanation:
We'll need the slope first
Pick any two points from the table and plug them into the slope formula.
I'm going to use the first two rows to get the two points.
m = (y2 - y1)/(x2 - x1)
m = (64-44)/(24-16)
m = (20)/(8)
m = 5/2
m = 2.5
The slope is m = 2.5
Use this slope value with any (x,y) pair in the table. I'll use (x,y) = (16,44)
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Plug m = 2.5, x = 16 and y = 44 into the equation below. Solve for b
y = mx+b
44 = 2.5*16 + b
44 = 40 + b
44-40 = b
4 = b
b = 4
The y intercept is b = 4
As an (x,y) point, we say the y intercept is (0, 4). The x coordinate of the y intercept is always 0 since x = 0 for any point on the y axis.
The equation y = mx+b turns into y = 2.5x + 4
This is the same as saying y = (5/2)x + 4
To check this equation works, plugging x = 16 should lead to y = 44.
Plugging in x = 24 should lead to 64
Finally, plugging in x = 32 should lead to 84.
I'll let you do this part.
The best estimate of the solution to this system of equations is about (23,14)
If you know the center is at (-1,3), then find r by writing out the standard formula for the equation of a circle, as follows:
(x-2)^2 + (y-5)^2 = r^2
We still have the other point to deal with: (-4,1). Subst. -4 for x in this equation, and 1 for y:
(-4-2)^2 + (1-5)^2 = r^2. Then 36 + 16 = r^2,
and 52 = r^2, so that the radius is positive sqrt(52).
You could write that as sqrt(4)sqrt(13) = 2sqrt(13). Take your pick.
Answer: No triangles can be formed.
Step-by-step explanation: Given Dimensions = 15cm , 7cm , 5cm
Inequality property = Sum of 2 shorter sides ≥ 3rd side
∴ 7 + 5 is not greater than 15
∴<u><em> No triangles can be formed.</em></u>
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