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4 years ago

What does f(1) represent

Mathematics

1 answer:

scZoUnD [109]4 years ago

7 0

It just depends but usually it is an inverse for the original equation that you were given

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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

PilotLPTM [1.2K]

ANSWER

The orthocenter is $(-4,8)$

EXPLANATION

The orthocenter is the point of intersection of all the altitudes of a triangle.

If it is a right angle triangle then the orthocenter is the point at which the right angle is made.

If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.

So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.

The given triangle has vertices $J(-4,-1)$ , $(-4,8)$ , and $L(2,8)$ .

$Slope_{JK}=\frac{8--1}{-4--4}$

$Slope_{JK}=\frac{8+1}{-4+4}$

$Slope_{JK}=\frac{9}{0}$

Since the denominator is zero, the slope is undefined.

If the slope of a straight line is undefined, then that line is parallel to the y-axis. In other words, it is a vertical line.

$Slope_{JL}=\frac{8--1}{2--4}$

$Slope_{JL}=\frac{8+1}{2+4}$

$Slope_{JL}=\frac{9}{6}$

$Slope_{JL}=\frac{3}{2}$

$Slope_{KL}=\frac{8-8}{2--4}$

$Slope_{KL}=\frac{0}{2+4}$

$Slope_{KL}=\frac{0}{6}$

$Slope_{KL}=0$

if a straight line has a slope of zero, that line is parallel to the x-axis or it is horizontal.

From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.

See graph.

Therefore the coordinates of K, $(-4,8)$ is the orthocenter of the given triangle.

3 0

3 years ago

Central Middle School has 300 students. There are 66 students at the school who are on the swim team.

timofeeve [1]

To find the percentage of students on the swim team all you have to do is divide the amount of students in it by the complete number of students. (66/300) That should give you your answer which is around 22%.

3 0

3 years ago

La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compa

Rom4ik [11]

Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.

6 0

3 years ago

Sarah rides her bike three days a week. She rides for 10 minutes a day. How many minutes does Sarah spend riding her bike after

liubo4ka [24]

Answer:

1 hour after 2 weeks

Step-by-step explanation:

She rides 3 days a week, and 10 minutes a day. Multiplying 3 and 10 gets you 30 minutes a week. Over a 2 week period, that is 60 minutes (1 hour)

7 0

3 years ago

Read 2 more answers

Ate

lisov135 [29]

Answer:

Since all the three sides of the triangle are of equal length, we can find the perimeter by multiplying the length of each side by 3. 20 + 20 + 20 = 3 × 20 = 60 cm.

6 0

3 years ago