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nikdorinn [45]
3 years ago
13

What are the three equivalent fraction for 1/3

Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0
All you need to do is multiply 1/3 by something look at the examples if you don't understand.2/6 3/9 4/12
Ivan3 years ago
5 0
Some equivalent fractions are 2/6 , 3/9 , 4/12<span />
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13. Solve to find the vertex if :<br> 3x2 – 19x - 5
TEA [102]

Answer:

 A) y = 3(x -3)^2 -46

 B) (3, -46)

 C) look at the y-coordinate of the vertex

Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

 y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

 y = 3(x^2 -6x +9) -19 -3(9)

 y = 3(x -3)^2 -46

__

B) Compared to the vertex form, ...

 y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

__

C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

Step-by-step explanation:

5 0
2 years ago
Determine the equation of the line that is perpendicular to the given line, through the given point.
exis [7]

Answer:

The equation of the line is y + 7 = -\frac{1}{3}(x - 9)

Step-by-step explanation:

Equation of a line:

The equation of line, in point-slope form, is given by:

y - y_0 = m(x - x_0)

In which m is the slope and the point is (x_0, y_0)

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Through (9,-7)

This means that x_0 = 9, y_0 = -7

So

y - y_0 = m(x - x_0)

y - (-7) = m(x - 9)

y + 7 = m(x - 9)

Perpendicular to y = 3x + 4

This line has slope 3, so:

3m = -1

m = -\frac{1}{3}

Thus

y + 7 = m(x - 9)

y + 7 = -\frac{1}{3}(x - 9)

4 0
2 years ago
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