There were 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were bet

The correct answer is option D. Detailed explanation: As per the attached image. Observing the image, the coordinates are outlined. To determine the reflection of a point across a line, the distances from the points to the line must be equal. Point A(1,1) sits on the line x = 1, meaning its reflection A' remains at A'(1,1). Point C(2,5) is a distance of 1 from x = 1 on the right, hence its reflected position C' shifts left by the same distance — subtracting 1 from its x-coordinate places it at C'(1 - 1, 5) or C'(0, 5). Point B(4,1) is positioned 3 from x = 1 on the right; therefore, its reflection B' would also move left by 3 – leading to B'(1 - 3, 1) or B'(-2, 1). Plotting A', B', and C' confirms option D as the correct choice.

The equation of the line through the point (5,4) with a slope of 6/5 is y = 6/5x - 2. This is determined using the linear equation format y = mx + b. By substituting in the values, you can simplify to find the y-intercept.

Answer:

The highest achievable volume for the box is 2000000 cubic meters.

Step-by-step explanation:

Below is an outline of the volume (), measured in cubic centimeters, and surface area (), measured in square centimeters, for a box featuring a square base:

(1)

(2)

Where:

- The length of the base's side, in centimeters.

- The height of the box, in centimeters.

Using (2), we isolate in the formula:

Then, we substitute into (1) and simplify the outcome:

(3)

Next, we calculate the first and second derivatives of this expression:

(4)

(5)

If and , then we find that the critical value for the base's side length is:

Subsequently, we assess this outcome using the second derivative's expression:

According to Second Derivative Test, this critical value signifies an absolute maximum. Consequently, the largest volume obtainable for the box is:

The highest achievable volume for the box is 2000000 cubic meters.