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3 years ago

When the figure below is rotated 90 degrees counterclockwise about the origin what would be the new coordinates of point c?

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Rotating a figure 90° counterclockwise about the origin results in an ordered pair (x, y) mapping to its image (-y, x). Thus point C, which is at (3, 5), will map to (-5, 3).

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Which number line represents the graph of the solution to the inequality 27 + 4.5x 2 81?

devlian [24]

Answer: =27+1264.5x

Step-by-step explanation: It bascially explains itself

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2 years ago

Select the correct answer.

Allushta [10]

Answer:

Step-by-step explanation:

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3 years ago

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A. Find the complement of the angle shown

KatRina [158]

<span>A. Find the complement of the angle shown

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3 years ago

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Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la

myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

$\frac{178}{8}\,km = 22.25\,km$

Martin

$21\,km + \frac{3}{4}\,km = 21.75\,km$

Santiago

$21\,km + \frac{5}{12}\,km = 21.417\,km$

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

$x = 29.3\,km -22.25\,km$

$x = 7.05\,km$

Martin

$x = 29.3\,km - 21.75\,km$

$x = 7.55\,cm$

Santiago

$x = 29.3\,km - 21.417\,km$

$x = 7.883\,km$

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

$\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}$

$\bar x = 21.889\,km$

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

$x = 21.75\,km - 21.417\,km$

$x = 0.333\,km$

Martín recorrió 0.333 kilómetros más que Santiago.

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3 years ago

How do you solve for a y and x intercept?

FrozenT [24]

For a y-intercept, set $x = 0$ in your equation. Remember that a y-intercept intercepts the y-axis, which is found at $x = 0$ . Thus, setting $x = 0$ will give you the place where your equation intercepts the y-axis.

For an x-intercept, do the opposite, set $y = 0$ . This is because the x-axis is found at $y = 0$ . Similar to the y-intercept, this will find you the point where your equation intercepts the x-axis.

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3 years ago