In the triangles, XY = MP and YZ = PN. Triangles Y X Z and P M N are shown. The length of side X Z is 23 inches. The length of s

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

To find the number of pounds needed for 1 square foot , perform the following calculation:

Thus, we have:

Cross multiply

And divide both sides by 36

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

Cross multiply

And divide both sides by 252

Thus, 7 lb will cover

1 square foot, and 315 lb will encompass an area of

45 square feet.

Read more about ratios at:

We can formulate the trajectory of the parabola using the vertex form equation: y = a (x – h)^2 + k. The coordinates for the vertex are at h and k, representing the peak height, thus h = 250 and k = 120. Consequently, the equation becomes y = a (x – 250)^2 + 120. At the starting point where x = 0 and y = 0, we find a: 0 = a (0 – 250)^2 + 120, which simplifies to 0 = a (62,500) + 120, leading to a = -0.00192. The complete equation is y = -0.00192 (x – 250)^2 + 120. To determine y when x = 400, we substitute: y = -0.00192 (400 - 250)^2 + 120, yielding y = 76.8 ft. Hence, the ball clears the tree by 76.8 ft – 60 ft = 16.8 ft.

Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Greetings!

As illustrated in the diagram, the point you seek is where the two lines intersect.

This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):

You can approach solving it using the substitution method:

Then substitute x1 into equation 2 to resolve x2:

After which, utilize the x2 value to establish x1:

Here’s a counterexample: consider

Select the subsets in the following manner:

It's accurate that and and that , but