Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
See attachment for graph
Required
The equation of best fit
First, we pick two corresponding points on the graph,
We have:
Calculate slope (m)
This gives:
The equation is the calculated using:
This gives
Open bracket
Answer:
Step-by-step explanation:
Your "y=2xsquared-12x+10" translates into y = 2x^2 - 12x + 10. This factors into y = 2(x^2 - 6x + 5).
Setting this = to 0 results in y = 2(x - 5)(x - 1) = 0, so that the x-intercepts are (5, 0) and (1, 0). The x-coordinate of the vertex lies halfway between x = 1 and x = 5, that is, at x = 3. Using synthetic division to evaluate y = 2x^2 - 12x + 10 at x = 3, we get
3 2 -12 10
6 -18
------------------
2 -6 -8
Therefore, the vertex is located at (3, -8).
Setting x = 0 results in the y-intercept: y = 2(0)^2 - 12(0) + 10 => (0, 10)
The answer is $7.14!
All you have to do is subtract 10 by 2.86.
Answer:
- 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m
Step-by-step explanation:
Use <u>trigonometry</u> to solve for unknowns.
<h3>1) Use sine</h3>
- <em>sine = opposite leg / hypotenuse</em>
- sin 27° = x/42
- x = 42 sin 27°
- x = 19.07 m (rounded)
<h3>2) Use tangent</h3>
- <em>tangent = opposite leg / adjacent leg</em>
- tan 23° = 34/x
- x = 34 / tan 23°
- x = 80.10 ft
<h3>3) Use cosine</h3>
- <em>cosine = adjacent leg / hypotenuse</em>
- cos 48° = 38/x
- x = 38 / cos 48°
- x = 56.79 m (rounded)
