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stepladder [879]
3 years ago
13

PLEASE HELP! :D Triangle ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC.

Then list the steps you took to find the orthocenter, including any necessary points or slope you had to derive.
(I know the exact answer. I know the slopes and the point slope form, but I am basically having trouble with the plotting out the altitudes from the given points. Massive brain fart...)
Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0
I'm pretty sure you can just use a Cartesian plane and since all of your points are (positive, positive) they'd all be in the First Quadrant (top right)
You might be interested in
What consists of one endpoint and all the points on one side of the endpoint extends infinitely in one direction?
GREYUIT [131]
A ray, is a line that has one endpoint on one side and on the other side is an infinity amount of numbers

6 0
3 years ago
Which number equals (3)^-3? A) -27 B) -9 C) -1/27 D) 1/27
Alecsey [184]

Answer:

the answer is D 1/27

Step-by-step explanation:

7 0
3 years ago
) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states th
Bad White [126]

Answer:

65.45

Step-by-step explanation:

Zscore = (x - mean) / standard deviation

x = score

Percentage below C :

D = 18% ; F = 12%

Sum = 30%

Obtain the Zscore for the proportion below D

P(Z < 0.30) = -0.524

Hence, Zscore = -0.524

Put Zscore = -0.524 in the equation :

-0.524 = (x - 72) / 12.5

-0.524 * 12.5 = x - 72

-6.55 = x - 72

-6.55 + 72 = x

x = 65.45

To receive a grade of C or better, score must be atleast 65.45

6 0
2 years ago
A new American graduate is contemplating buying a Japanese, German, or an American car. No matter the type of car, he plans to b
Svetach [21]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446  

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

Amercian Car:

Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934

Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678  

Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171

Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

6 0
3 years ago
What is the simplified form of the following expression? 5√8-√18-2√2
Romashka [77]

Answer:

Option (B) is correct.

To prove

As given the epression in the question is given by

= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}

Now simplify the above

Terms are written as

\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}

\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}

Put in the above expression.

= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}

= 10 \sqrt{2} -5 \sqrt{2}

=5 \sqrt{2}

Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .





6 0
3 years ago
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