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3 years ago

Please help, im super behind :(((

Mathematics

1 answer:

Verdich [7]3 years ago

8 0

Answer:

the first one is a function! there are no repeated x values in a function

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In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B

Step2247 [10]

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

Substituting x1=-6, x2=2, y1=3, y2=-3:

$\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{3-3}{2}=0$

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting x1=-6, x2=-2, y1=3, y2=0:

$r=\sqrt{(-2+6)^2+(0-3)^2}$

$r=\sqrt{4^2+(-3)^2}$

$r=\sqrt{16+9}=\sqrt{25}=5$

The radius of the circle is 5.

4 0

3 years ago

There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles

SSSSS [86.1K]

Answer:

8.04672

or 8

Step-by-step explanation:

4 0

2 years ago

A cereal company wants to change the shape of its cereal box in order to attract the attention of shoppers. The original cereal

NeX [460]

The new box will both hold more cereal and require more material to make.

3 0

3 years ago

With explanation plz.. ( -2) + 9 * 10 Order of Operation

kondor19780726 [428]

Parentheses, Exponent, Multiply, Division, Addition, Subtraction is your order (aka PEMDAS). Multiply 9x10 which gives you 90, then add -2 (or subtract 2) and your answer is 88.

3 0

3 years ago

Read 2 more answers

El ingreso de una empresa de construcción de obras civiles se estima a través del tiempo de acuerdo con la siguiente función I(t

brilliants [131]

Usando conceptos de funciones cuadráticas, se encuentra que:

El máximo ingreso será alcanzado en 6 años.

El máximo ingreso será de 800 miles de soles.

La función que estimate el tiempo es dada por:

$I(t) = -64 + 288t - 24t^2$

Que es una función cuadrática con coeficientes $a = -24, b = 288, c = -64$ .

El año en qué se alcanzará el máximo ingreso es el valor de t de el vertice, o sea:

$t_V = -\frac{b}{2a} = -\frac{288}{2(-24)} = \frac{288}{48} = 6$

El máximo ingreso será alcanzado en 6 años.

El valor del máximo ingreso es el valor de I de el vertice, o sea:

$I_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}$

Entonces:

$I_v = -\frac{288^2 - 4(-24)(-64)}{4(-24)} = 800$

El máximo ingreso será de 800 miles de soles.

Un problema similar es dado en brainly.com/question/21434178

5 0

2 years ago