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:
Percentage = 14.2%
Step-by-step explanation:
<u>Given the following data;</u>
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92


<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>
<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>
so I think the answer is very difficult ask to someone else
Step-by-step explanation:
xy=4
2x-y+2=0
Answer:
The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
If
, the measure X is significantly high(Z > 2) or significantly low(Z < -2).
The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees.
This means that 
One year, the temperature was 52 degrees F on that day.
This means that
.
What is the Z-score for that day's temperature?



The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.
Answer: 5¹ + 5² + 5³, 130 students
<u>Step-by-step explanation:</u>
Monday: 1 1 1 1 1 = 5 ⇒ 5¹
+ Tuesday: 1(5) 1(5) 1(5) 1(5) 1(5) = + 25 ⇒ 5²
+ Wednesday:5(5) 5(5) 5(5) 5(5) 5(5) = <u>+125 </u>⇒ 5³
130
Extra Credit: How many students will know the rumor on Thursday? 5¹ + 5² + 5³ + 5⁴