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RUDIKE [14]
3 years ago
8

(20 points) What is the value of h(9)?

Mathematics
2 answers:
likoan [24]3 years ago
6 0

Answer:

The value of h(9) is 54.

Step-by-step explanation:

H(m) m²-3m

Multiply 3*2=9

H(9)=9²-3(9)

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Multiply 3*9=27

9^2=9*9=81

Subtract.

81-27=54

H(9)=54, which is our answer.

adelina 88 [10]3 years ago
3 0

h(m) = m^2 - 3m

h(9) = (9)^2 -3(9)

h(9) = 81 - 27

h(9) = 54

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m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

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  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

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