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3 years ago

Malachy was thinking of a number. Malachy doubles it and gets an answer of 91.6. What was the original number?

Mathematics

2 answers:

timama [110]3 years ago

7 0

Answer:

45.8

Step-by-step explanation:

2(X) = 91.6

X = 91.6/2

X = 45.8

zubka84 [21]3 years ago

5 0

Answer:

45.8

Step-by-step explanation:

Say the number Malachy was thinking of is <em>x</em>.

Doubling it gives 2x, which we see also equals 91.6. Set these equal to each other:

2x = 91.6

To solve, we divide both sides by 2 and get x = 45.8, which is our answer.

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What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6

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f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact: y = -3/2. Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5. The x-coordinate of the vertex is 4, which comes from that 4 in (4,3). Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

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Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

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Then use $\pi$ r^2 with 'r' being your radius to get the area of the base
The area is 12.7 cm
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40cm x 12.7cm (rounded to the nearest tenth) = 502.7 cubic centimeters

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