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2 years ago

What is the standard equation of the circle in the diagram? ^

Mathematics

1 answer:

den301095 [7]2 years ago

5 0

Answer:

$(x - 3)^{2} + (y + 4)^{2} = 4$

Step-by-step explanation:

Center is at (3, -4) and the radius is 2

$(x - 3)^{2} + (y + 4)^{2} = 4$

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Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

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A right angle measures 90°.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

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Tcecarenko [31]

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Step-by-step explanation:

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At the North Fair you earn 9 points for each bull's eye you hit, but you lose 7 points for each miss. After 25 tries, Linda has

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Es un número disminuido en cuatro su resultado es ocho

NARA [144]

Resolviendo una resta, veremos que el número es igual a 12.

<h3>¿Como encontrar el número?</h3>

Definamos X como nuestro número, sabemos que cuando este número es disminuido en cuatro (es decir, le restamos 4 a nuestro número X) el resultado es 8.

Entonces, lo que tenemos que hacer es resolver la operación:

X - 4 = 8

Para resolver esto, lo que tenemos que hacer es sumar 4 en ambos lados de esta ecuación, asi obtenemos:

X - 4 + 4 = 8 + 4

X = 12

De esta forma, concluimos que nuestro número es igual a 12.

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9 months ago

Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x

jeyben [28]

Answer:

The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

Step-by-step explanation:

First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:

First derivative

$f'(x) = -4\cdot (-x+2)^{3}$

Second derivative

$f''(x) = 12\cdot (-x + 2)^{2}$

Then, we proceed to do the First and Second Derivative Tests:

First Derivative Test

$-4\cdot (-x+2)^{3} = 0$

$-x + 2 = 0$

$x = 2$

Second Derivative Test

$f''(2) = 12\cdot (-2+2)^{2}$

$f''(2) = 0$

The Second Derivative Test is unable to determine the nature of the critical values.

Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

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2 years ago