Use the Pyth. Thm. to calculate the length of MO:
6^2 + 8^2 = |MO| = 36 + 64 = 100. Therefore, |MO| = 10.
Answer:
Step-by-step explanation:
Find the gradient of the equation
The equation will have the gradient -3x
Use the general equation of a line, and substitute the coordinates in to find the y-intercept.
(4, -6)
(0, 6)
The equation of the line is
Answer:
multiply the population each year by 4% or 0.04
year 1 increase by 9600, population 249,600
year 2 increase by 9984, population 259,584
year 3 increase by 10,383, 269,967
year 4 increase by 10,799, 280,766
year 5 increase by 11,231, 291,997
year 6 increase by 11,680, 303, 677
Step-by-step explanation:
I rounded the totals.
10 minutes left of homework
9514 1404 393
Answer:
(a) one parallelogram
(b) opposite sides are 3 inches and 4 inches. Opposite angles are 45° and 135°
(c) yes, all side lengths can be determined, see (b)
Step-by-step explanation:
Opposite sides of a parallelogram are the same length, so if one side is 3 inches, so is the opposite side. Similarly, if one side is 4 inches, so is the opposite side. If sides have different lengths, they must be adjacent sides. The given numbers tell us the lengths of all of the sides.
The 4 inch sides are adjacent to the 3 inch sides. Thus the angle between a 4 inch side and a 3 inch side must be 45°. Opposite angles are congruent, and adjacent angles are supplementary, so specifying one angle specifies them all.
Only one parallelogram can be formed with these sides and angles. (The acute angle can be at the left end or the right end of the long side. This gives rise to two possible congruent orientations of the parallelogram. Because these are congruent, we claim only one parallelogram is possible. Each is a reflection of the other.)