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Flura [38]
3 years ago
6

Write the equation in standard form for the circle x2+y2–36=0.

Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

Answer:

x^2 + y^2 = 36

Step-by-step explanation:

Just add 36 to both sides. This is a circle with the center at the origin and radius 6.

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2

Step-by-step explanation:

(6x+2)/(3x+1) = 2

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Consider the differential equation 2y'' + ty' − 2y = 14, y(0) = y'(0) = 0. In some instances, the Laplace transform can be used
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Step-by-step explanation:

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a. Miss Butler made a circle graph to show the grades on the term papers. There were 14 B's, 10 A's, and 8 C's.​
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3 years ago
A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place
Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

Lets, assume the height(AB) = h and base(BC)= x

If the angle of elevation, ∠ACB = α, then

tan(α) = \frac{AB}{BC} = \frac{h}{x}

Taking inverse trigonometric function, α = tan⁻¹ (\frac{h}{x}) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

\frac{d\alpha}{dt}=[\frac{1}{1+ \frac{h^2}{x^2}}]*(\frac{1}{x})\frac{dh}{dt}

Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

that means h = 40 feet and \frac{dh}{dt} = 10 feet/second.

C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\   \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512

= 0.12 (Rounding up to two decimal places)

So, the rate of change of the angle of elevation is 0.12 radians/second.

5 0
3 years ago
What is the degree of the polynomial below? 4x^3+3x^2+6x+5<br><br> A. 0<br> B. 3<br> C. 1<br> D. 2
alexira [117]

Answer:

B. 3

Step-by-step explanation:

The degree of this polynomial is based on the highest power on the exponents (if there is more than one variable, it is based on the sum)

The highest power is 3, so the degree is 3

6 0
3 years ago
Read 2 more answers
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