Answer:
<h2>First quadrant will the line not pass.</h2>
Step-by-step explanation:
The given line has a negative slope. It means with increasing value of x, y will be decreasing. It has a negative y-intercept that is at x = 0, y is less than 0.
If the value of x will be greater than 0, the value of y will be going downwards continuously.
If x > 0, y < 0, as the line has a negative y-intercept.
A point in first quadrant means x > 0 as well as y > 0.
Hence, the line cannot pass through the first quadrant.
Answer:
4
Step-by-step explanation:
9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
The area of the figure is 104.52 sq inches
<h3>How to determine the area of the figure?</h3>
In the complete figure, we have:
1 Rectangle: Base = 8 in and Height = 6 in
2 semicircles: Diameter = 6 inches
The area of the figure is
Area = Area of rectangle + Sum of Areas of semicircles
This gives
Area = Base * Height + 2 * π(d/2)^2
This gives
Area = 8 * 6+ 2 * 3.14 * (6/2)^2
Evaluate
Area = 104.52
Hence, the area of the figure is 104.52 sq inches
Read more about areas at:
brainly.com/question/24487155
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