Answer:
D = 120, there are 2 real roots for F(x)
Step-by-step explanatU
using the
formula D = b^2 - 4ac for discriminant
D = 8^2 - 4*(-7)*2
D = 64 + 56 = 120
Answer:
the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7
Step-by-step explanation:
When you set two equations or functions equal to each other that is saying you want to know when the graphs intersect. So the y and x intercept don't matter, unless you combined the terms like this.
3x + 5 = 2x – 7
x + 12 = 0 then that terms x intercept woudl be the x coordinate of the intersection of the other two terms. But remember, this is onlyif you combines the two functions.
Of your options you just want the ones dealing with the intersection point. And of those two we are plugging in x, so we want the x coordinate.
Answer:
option a.
radius of the circle=3 units.
area of the circle= pi×r²
area of circle=pi×3²
area of circle=pi×9units²
Answer:
Step-by-step explanation:
Radius =6 ft
Area of circle = πr²
= 3.14 * 6 * 6
= 113.04 ft²
base = 10.39 ft
height = 6+3 = 9 ft
= 46.76 ft²
Area of the shaded region = area of circle - area of triangle
= 113.04 - 46.76
= 66.28
= 66.3 ft²
<h3>
Answer: Choice A) circle</h3>
Explanation:
Imagine that white rectangle as a blade that cuts the cylinder as the diagram shows. If you pull the top cylinder off and examine the bottom of that upper piece, then you'll see a circle forms. It's congruent to the circular face of the original cylinder. This is because the cutting plane is parallel to both base faces of the cylinder. Any sort of tilt will make an ellipse form. Keep in mind that any circle is an ellipse, but not vice versa.
Another example of a cross section: cut an orange along its center and notice that a circle (more or less) forms showing the inner part of the orange.
Yet another example of a cross section: Imagine an egyptian pyramid cut from the top most point on downward such that you vertically slice it in half. If you pull away one half, you should see a triangular cross section forms.
