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vova2212 [387]
3 years ago
6

Somebody, please help me it's URGENT

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

S=20

Step-by-step explanation:

we want P(s) = 60

so P(s) = 3s = 60

s = 20

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B.

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Macs hotel has 128 rooms, and 25% of the rooms in the hotel did not have an ocean view. Write an expression to find the total nu
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the expression u could use is

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128+25=153

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The statement below describes a situation in which opposite quantities combine to make zero:
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The answer is false. if the quantities combine to make zero


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What is the value of x, 6x +2=180
tester [92]

Answer: x=\frac{89}{3} or 26\frac{2}{3}

\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\6x+2-2=180-2\\6x=178

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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)


<u>EXPLANATION</u>


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 <em>right angle is made.</em>

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 <em>parallel to the y-axis</em>. In other words, it is a <em>vertical line</em>.


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 <em>x-axis</em> or it is <em>horizontal.</em>


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
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