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weqwewe [10]
2 years ago
5

Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5

)
Mathematics
1 answer:
Norma-Jean [14]2 years ago
8 0

9514 1404 393

Answer:

  (a)  (-2, 4)

Step-by-step explanation:

The orthocenter is the point of concurrence of the altitudes of the triangle.

A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.

__

Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:

  a (-2, 4)

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Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.
Oduvanchick [21]

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

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3 0
2 years ago
Determine the solution type for each equation if one solution determine the value for x
sdas [7]

Step-by-step explanation:

Vamos resolver sua equação passo a passo.

10-7c=10+2(3-5c)

Etapa 1: simplifique os dois lados da equação.

10-7c=10+2(3-5c)

10+-7c=10+(2)(3)+(2)(-5c)(Distribuir)

10+-7c=10+6+-10c

-7c+10=(-10c)+(10+6)(Combine os termos semelhantes)

-7c+10=-10c+16

-7c+10=-10c+16

Etapa 2: adicione 10c a ambos os lados.

-7c+10+10c=-10c+16+10c

3c+10=16

Etapa 3: subtraia 10 de ambos os lados.

3c+10-10=16-10

3c=6

Etapa 4: divida os dois lados por três.

3c

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=

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4 0
3 years ago
Three more than the quotient of a number and 2 is equal to 8. Use the variable for the unknown number.
Hunter-Best [27]
The unknown number would be 16.
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7 0
3 years ago
Read 2 more answers
2 times what eqvals 49
Naddik [55]
So what you can do is take 49 and divide it by 2 cause times is multiplication so if you take 49 and divide that by 2 you would get 24.5. Now if you plug so like 24.5 · 2 would would get 49.
~Good Luck~
4 0
3 years ago
The lengths of the sides of a triangle are 18 km, 23 km, and 30 km. Is the triangle a right triangle, an acute triangle, or an o
babunello [35]

a^2 + b^2 = c^2 is right         a^2 + b^2 > c^2 is acute        a^2 + b^2 < c^2 is obtuse

a^2 + b^2 = c^2

18^2 + 23^2 = 30^2

324 + 529 = 900

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obtuse


6 0
3 years ago
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