The answer is b
(-1,3,5)
Hope this helps!
Based on the docx you showed me, the equation for the parabola is
and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).
If you use these two points to create a line we get the equation:
(I just used point slope form)
This can be simplified to:
Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept:
and the x-intercept:
.
So our table of value can be:
x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0
Answer: BC = 16√2 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
AB represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 45 = 16/BC
√2/2 = 16/BC
BC = 16/(√2/2) = 16 × 2/√2
BC = 32/√2
Rationalizing the denominator, it becomes
BC = 32/√2 × √2/√2
BC = 32√2/2
BC = 16√2 ft