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solong [7]
3 years ago
6

A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in

Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

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En un examen calificado del 0 al 10, 3 personas obtuvieron 5 de nota, 5 personas obtuvieron 4 de nota, y 2 personas obtuvieron 3
Nastasia [14]

Answer:

Media = 4.1

Mediana = 4

Moda = 4

Step-by-step explanation:

3 personas obtuvieron 5 puntos

5 personas obtuvieron 4 puntos

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a. La media se da como:

Media = suma total de marcas / número de personas

Por lo tanto, la media será:

M = \frac{((3 * 5) + (5 * 4) + (2 * 3)}{10}\\ \\M = \frac{15 + 20 + 6}{10} \\\\M = \frac{41}{10}\\ \\M = 4.1

b. Para obtener la mediana, tenemos que organizar los términos en consecuencia y encontrar el número en el medio.

3, 3, 4, 4, 4, 4, 4, 5, 5, 5

Como no hay un número único en el medio, la mediana es:

(4 + 4) / 2 = 8/2 = 4

c. La moda es el número que aparece más, y eso es 4

8 0
3 years ago
I can't get the. right answer someone please help
Irina18 [472]
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3 years ago
Indicate below wether the equation in the box is true or false 6/12= 1/3
Hatshy [7]

Answer:

False

Step-by-step explanation:

6/12 simplifies into 1/2 (six is half of twelve) and 1/2 does not equal 1/3.

You can also plug this into a calculator and see that 6/12=0.5 and 1/3=0.333

8 0
1 year ago
Which of the following are roots of the following polynomial x^3-11x^2+33x+45
Mandarinka [93]
For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get 

      x^2-12x+45
       ___ ________________________
x+1 | x^3-11x^2+33x+45

      - (x^3+x^2)
       _________________________
            -12x^2+33x+45
          - (-12x^2-12x)
          ______________
            45x+45
         -(45x+45)
___________
0


Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
8 0
3 years ago
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