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3 years ago

What geometric term describes a corner f a living room

Mathematics

1 answer:

murzikaleks [220]3 years ago

5 0

The answer is a vertex. Corners of any shape are vertexes

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The government published the following stem-and-leaf plot showing the number of tigers at each major zoo in the country:

Alexus [3.1K]

Answer: 2 zoos

Step-by-step explanation: Hope this helped!☺️

3 0

3 years ago

In the previous part, we obtained dy dx = 3t2 − 27 −2t . Next, find the points where the tangent to the curve is horizontal. (En

mina [271]

Answer:

(27.55, 7.22), (-11.3, 3.21).

Step-by-step explanation:

When is the tangent to the curve horizontal?

The tangent curve is horizontal when the derivative is zero.

The derivative is:

$\frac{dy}{dx} = 3t^{2} - 2t - 27$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3t^{2} - 2t - 27 = 0$

$a = 3, b = -2, c = -27$

Then

$\bigtriangleup = b^{2} - 4ac = (-2)^{2} - 4*3*(-27) = 328$

$t_{1} = \frac{-(-2) + \sqrt{328}}{2*3} = 3.35$

$t_{2} = \frac{-(-2) - \sqrt{328}}{2*3} = -2.685$

Enter your answers as a comma-separated list of ordered pairs.

We found values of t, now we have to replace in the equations for x and y.

t = 3.35

$x = t^{3} - 3t = (3.35)^{3} - 3*3.35 = 27.55$

$y = t^{2} - 4 = (3.35)^2 - 4 = 7.22$

The first point is (27.55, 7.22)

t = -2.685

$x = t^{3} - 3t = (-2.685)^3 - 3*(-2.685) = -11.3$

$y = t^{2} - 4 = (-2.685)^2 - 4 = 3.21$

The second point is (-11.3, 3.21).

8 0

3 years ago

Solve this equation -4(X-26)=-200

jek_recluse [69]

Answer:

x = 76

Step-by-step explanation:

First, distribute -4:

-4x + 104 = -200

Isolate x:

-4x = -200 - 104 = -304

x = -304/-4 = 76

5 0

1 year ago

Read 2 more answers

Identify whether the given value is a statistic or parameter:

SVETLANKA909090 [29]

Answer:

The value is a statistic, since it is from a sample.

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

In this question:

In a random sample of U.S. households, it was found that 72% have high-speed Internet.

The value is from a sample, so it is a statistic.

4 0

3 years ago

G = x + y/cx solve for x

riadik2000 [5.3K]

Step-by-step explanation:

3 0

2 years ago