Given:
The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).
To find:
The area of the rectangle.
Solution:
Distance formula:

Using the distance formula, we get




Similarly,





Now, the length of the rectangle is
and the width of the rectangle is
. So, the area of the rectangle is:




Therefore, the area of the rectangle is 20 square units.
Answer:
Step-by-step explanation:
Givens
d = 2365 miles
r = 55 miles / hour
t = ?
Formula
d = r * t
Solution
d = r * t
2365 = 55 * t Divide by 55
2365/55 = t
t = 43 hours.
Sine and cosine. The other four functions are periodic and at some values of the input variable would be undefined.
Remember that the area of a rectangle is length times width; since we don't know the width, we'll use the Pythagorean theorem to find it first:

Where l is the leg, and h the hypotenuse. We know that one of the legs, the base has a measures 34.3 inches and the hypotenuse a measures 42.1 inches.
Replace the values to get:


Now that we know the width (w), we just net to multiply it by the length to get our area:

We can conclude that the correct answer is <span>B) 836.9 in.</span>
Answer:

<h3><u>6x⁶+8x⁵+2x⁴</u> is the right answer.</h3>