Answer:
A. 3, 4, 5
Step-by-step explanation:
Option A:
LHS = 3² + 4² = 9 + 16 = 25
RHS = 5² = 25
(3, 4, 5) is a right triangle.
Option B:
LHS = 7² + 8² = 49 + 64 = 113
RHS = 9² = 81
(7, 8, 9) is NOT a right triangle.
Option C:
LHS = 3² + 9² = 9 + 81 = 90
RHS = √95² = 95
(3, 9, √95) is NOT a right triangle.
The volume of the bag of nuts is the amount of nuts it can contain
The volume of the bag of nuts is 84.78 cubic inches
<h3>How to determine the volume of the bag?</h3>
From the figure, we have the following parameters:
- Radius, r = 3 in
- Height, h = 9 in
The volume of a cone is calculated using:
V = 1/3 πr^2h
Substitute the known values
V = 1/3 * 3.14 * 3^2 * 9
Evaluate the product
V = 84.78
Hence, the volume of the bag of nuts is 84.78 cubic inches
Read more about volumes at:
brainly.com/question/1972490
As the directrix is parallel to x-axis, the concavity of the parabola will be in vertical. Then, the general equation is in the form:
, where
are the coordinates of the vertice and p is the parameter (distance between the focus and the directrix). The parameter is
. The vertice is the midpoint between the focus and the projection of the focus in the directrix. Then, the vertice is
. Hence, the parabola is:
Now, derivating:
Negative plus a negative is always positive. positive plus a positive is a positive. but if you have an positive plus a negative whatever sign has the bigger number thats the sign you'll use.
