Answer:
hi there!
Given the context you have provided the equation for this graph is: y = x + 5
Step-by-step explanation:
the parent function is y = mx + b
M = slope b = y-intercept
The board A is 8 inches. If you use 3/4 of an 8-foot-board. Then you're left with 2 feet.
3 6
-- = --
4 8
8 - 6 =2
(8= the length of the board)
1/3 of 2 feet = 8 inches
1 24 24
-- x -- = --- = 8 inches
3 1 3
(24= the equal amount of inches in a 2-foot-board)
Answer:
n=0 , m= 13 A
Step-by-step explanation:
Answer:
y= -2/3x - 4
Step-by-step explanation:
the 2/3 comes from going up 2 spaces and over left 3 spaces. the b is negative 4 because of where it falls. the line is negative because of the direction it is in.
<h3>
Answer: 205</h3>
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Work Shown:
![(14-3i)(14+3i)\\\\x(14+3i) \ ... \text{ let } x = 14-3i\\\\14(x)+3i(x)\\\\14(14-3i)+3i(14-3i) \ ... \text{ plug in } x = 14-3i\\\\196-42i+42i-9i^2\\\\196-9i^2\\\\196-9(-1)\\\\196+9\\\\205](https://tex.z-dn.net/?f=%2814-3i%29%2814%2B3i%29%5C%5C%5C%5Cx%2814%2B3i%29%20%5C%20...%20%5Ctext%7B%20let%20%7D%20x%20%3D%2014-3i%5C%5C%5C%5C14%28x%29%2B3i%28x%29%5C%5C%5C%5C14%2814-3i%29%2B3i%2814-3i%29%20%5C%20...%20%5Ctext%7B%20plug%20in%20%7D%20x%20%3D%2014-3i%5C%5C%5C%5C196-42i%2B42i-9i%5E2%5C%5C%5C%5C196-9i%5E2%5C%5C%5C%5C196-9%28-1%29%5C%5C%5C%5C196%2B9%5C%5C%5C%5C205)
Recall that
is the imaginary unit. Squaring both sides gets us ![i^2 = -1](https://tex.z-dn.net/?f=i%5E2%20%3D%20-1)
You can verify the answer using a tool like WolframAlpha.