Elio makes candles that are 14\text{ cm}14 cm14, start text, space, c, m, end text tall. Each candle burns 888 hours before goin

The answer
the full question is
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) create two line segments, and AB ⊥ CD, what condition must be satisfied to establish that AB ⊥ CD?

Let A(x1, y1) and B(x2, y2) represent the first line, while C(x3, y3) and D(x4, y4) represent the second line.

The slope for the first line is given by m = (y2 - y1) / (x2 - x1).
For the second line, the slope is m' = (y4 - y3) / (x4 - x3).

The necessary condition to demonstrate that AB ⊥ CD is

                           
                    (y2 - y1) * (y4 - y3)
m × m' =  ---------  ×  ------------ = -1
                    (x2 - x1)    (y4 - y3)

Answer:

2.1 miles

Step-by-step explanation:

Refer to the attached illustration (you need to include all the mentioned locations and the distances between them),

enabling us to create a right triangle between the school and the hospital with side measures of: 1.7 and 1.2 miles

and the green line represents the direct path from the school to the hospital; thus, applying the Pythagorean theorem will yield the result:

When rounded to the nearest tenth:

2.1 miles

243. A division problem

Answer:

To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation

1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation

After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, for equations of the type 0 = a·x² - b·x + c.

When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.

Step-by-step explanation:

I believe this is correct