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Alexxx [7]
4 years ago
5

Please assist me with this problem

Mathematics
1 answer:
Sholpan [36]4 years ago
7 0

2.1 X 4.4 - 3.6 / 0.4

9.24 - 9

0.24

Hope this helps! ;)

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The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?
slamgirl [31]

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

4p(y-k)=(x-h)^2

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

3 0
3 years ago
Can someone do 9 and 12, with work shown. You have to find the valuew of the variables of each figure
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Yes because 12s bigger that 9
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6 0
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Read 2 more answers
A box in the shape of a rectangular prism is approximately 9 inches long,has an equilateral triangle shaped base with side lengt
vfiekz [6]

Answer:

33.75 cubic inches of styrofoam can be placed inside the container.

Step-by-step explanation:

Based on given information, the volume of the prism (V), in cubic inches, is determined by using this formula:

V = \frac{1}{2}\cdot b\cdot h \cdot l (1)

Where:

b - Base of the triangular face, in inches.

h - Height of the triangular face, in inches.

l - Length of the prism, in inches.

If we know that b = 3\,in, h = 2.5\,in and l = 9\,in, then the volume of the prism is:

V = \frac{1}{2}\cdot b\cdot h \cdot l

V = 33.75\,in^{3}

33.75 cubic inches of styrofoam can be placed inside the container.

3 0
3 years ago
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