The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points does the image cross the x-axis?A.(–8, 0) and (4, 0)
B.(8, 0) and (–4, 0)
C.(2, 0) and (–1, 0)
D.(–2, 0) and (1, 0)

There are 5π/3 radians in 300 degrees.

To convert degrees to radians, we can use the formula:

Radians = Degrees x (π / 180)

Given that we want to convert 300 degrees to radians, we can plug this value into the formula:

Radians = 300 x (π / 180)

Simplifying this expression, we get:

Radians = 5π/3

Therefore, there are 5π/3 radians in 300 degrees.

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The two-column proof should be completed with the following reasons that justifies the statements;

Statement                                                       Reason_______

XZ + ZY = XY                               a. Transitive Property

3(n - 2) + 3n = 36                         b. Distributive Property

3n - 6 + 3n = 36                           c. Combine like terms

6n - 6 = 36                       d. Addition Property of Equality

6n = 42                             e. Division Property of Equality

n = 7                                 f. Division Property of Equality

What is the Segment Addition Postulate?

In Euclidean Geometry, the Segment Addition Postulate states that when there are two end points on a line segment, a third point would lie on the line segment, if and only if the magnitude of the distances between the end points satisfy the requirements of these equations;

3(n - 2) + 3n = 36   (Distributive Property)

3n - 6 + 3n = 36     (Combine like terms)

6n - 6 = 36             (Addition Property of Equality)

6n = 42                  (Division Property of Equality)

n = 7                      (Division Property of Equality)                  

This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.

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Answer:

Answer:

The square roots of perfect squares in the list are:

A) √25 = 5 B) √36 = 6 D) √144 = 12

The other numbers © √50, E) √200, and F) √362 are not square roots of perfect squares. Therefore, the correct answers are A, B, and D.

The volume of the container is approximately 502 cubic inches.

What is a cylinder?

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given information:

A cereal company packs its oatmeal into cylindrical containers.

The height of each container is 10 inches, and the radius of the bottom is 4 inches

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

In this case, the radius is 4 inches and the height is 10 inches. Substituting these values into the formula, we get:

V = π(4²)(10)

V = 160π

Using a calculator, we can approximate π to be 3.14 and calculate the volume:

V ≈ 160(3.14)

V ≈ 502.4

Therefore, the volume of the container is approximately 502 cubic inches.

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