5. The value of k is the same of b in the original linear equation formula (y=mx+b). The b (or k here) changes where the equation itself fits on the graph. If a +0 is replaced with a -5, then the equation is shifted down by five units. I've graphed it below for you (where f(x) is in red and g(x) is in blue). Hope this helps!
Answer;
(1. 220 m) (2. 44 m) (3. 120 m) (4. 13)
Step-by-step explanation:
The y intercept is 9 and the unit rate is -7
So we plug these numbers in
y= -7x (the unit rate)+ 9 (y intercept)
y= -7x+9
Establish two right triangles, both with the height of the pole, h.
Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.
Apply Pytagora's equation to both triangles.
1) h^2 = 7^2 - x^2
2) h^2 = 8^2 - (6-x)^2
Eaual 1 to 2
7^2 - x^2 = 8^2 - 6^2 +12x -x^2
12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21
x = 1.75
Substitue x-value in 1
h^2 = 49 - (1.75)^2 = 45.94
h = sqrt(45.94) = 6.78
Answer: option d.
Answer:
Step-by-step explanation:
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