Answer:
the desired equation is y = x + 4.
Step-by-step explanation:
Slope is defined as m = rise over run. Run is the change (usually an increase) in x, and rise an increase or decrease in y.
We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5). Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.
Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:
5 = 1(1) + b, or b = 4.
Therefore the desired equation is y = x + 4.
Answer:
See attached picture.
Step-by-step explanation:
Graph the function as (x,y) points.
(-3,5)
(4,6)
(6,-9)
(9,-10)
These are graphed in black on the picture.
To graph the inverse, switch the points from (x,y) to (y,x).
(5,-3)
(6,4)
(-9,6)
(-10,9)
These are graphed in red on the picture.
Answer:
5.30x p
Step-by-step explanation:
(p stands for how many pounds are bought
Answer: You can buy 12 magazines
Step-by-step explanation: Can I have brainlest?
The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length <em>x</em>.
Now, by the intersecting chord theorem,
16×4 = <em>x</em> × <em>x</em>
or
<em>x</em> ² = 64
so that
<em>x</em> = 8