For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer:
The diameter of pool a is 10.37 (34 × 0.305)
Pool B is greater
The circumference of pool B is greater
The area of pool B is 65.7221183130984ft
The area of pool a is
32.5783158177261ft
65.7221183130984 - 32.5783158177261=
Pool Bs area is 33.143802ft² bigger
Answer:
-1.2 Degree Fahrenheit.
Step-by-step explanation:
Since,
The average daily changes, total changes/number of days
Here,
The total changes = - 16.8° F ( - sign shows the decreasing )
And, the number of days = 14
So,
The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.
Answer:
Mean: 33.454545 Median: 34.5 Mode: 25
Step-by-step explanation:
By putting all of the numbers in numerical order, then adding them and dividing them by 11 (the number of numbers in the list), you get 33.45 repeating as the mean. With the organized list of numbers find the middle number, which is 35, and that is the median. The mode, the most common number in the sequence, is 37 and 25.
25+25+27+28+32+35+37+37+39+41+42=368
368/11=33.45454545
