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Angelina_Jolie [31]
3 years ago
9

A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the wate

r is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time?
Mathematics
1 answer:
sasho [114]3 years ago
8 0

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

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Here is the question in the image
Artist 52 [7]

The coordinates of the edges of the <em>mini-solar</em> cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).

The distance between the two edges is 120 centimeters.

The equation for the <em>parabolic</em> mirror is x + 32 = (2/225) · y².

<h3>How to analyze a parabolical mini-solar cooker </h3>

Herein we must understand the geometry of the design of the <em>mini-solar</em> cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:

y = \pm \sqrt{(68\,cm)^{2}-(32\,cm)^{2}}

y = ± 60

The coordinates of the edges of the <em>mini-solar</em> cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.

Lastly, the equation of the <em>parabolic</em> mirror can be determined based on the equation of the parabola in <em>vertex</em> form:

x - h = C · (y - k)²     (1)

Where:

h, k - Coordinates of the vertex

C - Vertex constant

If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:

0 + 32 = C · 60²

C = 2/225

Then, the equation for the <em>parabolic</em> mirror is x + 32 = (2/225) · y².

To learn more on parabolae: brainly.com/question/21685473

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