Only the first choice is correct.
sorry about my previous comments; they were from misunderstanding.
Answer: Choice A) Distributive property
We're multiplying the outer -3 with the inner x to get -3x
Also, multiply the outer -3 with the inner +4 to get -12
So that's why -3(x+4) = -3x-12
Basically you have to plot the points (x,y) in the graph and just once you plot them all ,look for similarities,for example you could say most of the points are in the same line when you plot them .
Answer:
La altura de la antena es 4.054 metros.
Step-by-step explanation:
La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:
(1)
Where:
- Altura de Marta, en metros.
- Longitud de la sombra de Marta, en metros.
- Longitud de la sombra de la antena, en metros.
- Altura de la antena, en metros.
Si sabemos que , y , entonces la altura de la antena es:
La altura de la antena es 4.054 metros.
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
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If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
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An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above