Given A is between Y and Z and YA=22, AZ=16x, and YZ=166, find AZ

The correct response is:

3 inches rise for every foot in length

Explanation:

To derive the rate of change, we need to compute the difference in height and the difference in distance. The rate of change is expressed as rise/run, or

(change in height)/(change in length).

The respective heights at the specified points are 18 inches and 12 inches, resulting in a change of 18-12 = 6 inches.

The corresponding lengths at those points are 6 feet and 4 feet, yielding a change of 6-4 = 2 feet.

This implies our rate of change is (6 inches)/(2 feet), which simplifies to (3 inches)/(1 foot), indicating a rise of 3 inches for each foot of incline on the driveway.

Answer:

The equation for the line is

Step-by-step explanation:

Let A denote Area and C stand for Cost, we can deduce that:

For an area of square feet, the cost amounts to

If , then,

Since the cost equation represents a function of area, this establishes a linear connection, necessitating the formulation of the line's equation.

Where:

m denotes the slope of the line

b indicates the intercept with the C axis..

We possess two coordinates:

(700, 30000)

(1500, 54000)

Using these points, we calculate the slope via the formula:

Consequently, the equation concludes with:

To find b, we substitute the point (700, 30000) into the equation

Thus

The linear equation's graph is depicted in the provided image

Answer:

The correct statements are;

1) ΔBCD is similar to ΔBSR

2) BR/RD = BS/SC

3) (BR)(SC) = (RD)(BS)

Step-by-step explanation:

1) Since RS is parallel to DC, we conclude that;

∠BDC = ∠BRS (Angles formed on the same side of the transversal)

Furthermore;

∠BCD = ∠BSR (Angles formed on the same side of the transversal)

∠CBD = ∠CBD (Reflexive property)

Thus;

ΔBCD ~ ΔBSR by the Angle-Angle-Angle (AAA) similarity criterion.

2) Given that  ΔBCD ~ ΔBSR, we obtain;

BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1

1 + SC/BS = 1 + RD/BR thus, SC/BS = 1 + BR/RD - 1

SC/BS = RD/BR

By inverting both sides we find;

BR/RD = BS/SC

3) From BR/RD = BS/SC, we apply cross multiplication;

BR/RD = BS/SC leads to;

BR × SC = RD × BS → (BR)(SC) = (RD)(BS).