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2 years ago

A circle has a center at (4, -7) and a radius of 4 units. What is the equation of this circle?

Mathematics

1 answer:

Softa [21]2 years ago

7 0

Answer:

$(x-4)^2+(y+7)^2=16$

Step-by-step explanation:

A circle with radius r and centre (a, b) has an equation:

$(x-a)^2+(y-b)^2=r^2$

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I need to check my work but I’m not sure if it’s right

mr Goodwill [35]

The equation is as read; 17.2 + 12.9 should equal 30.1.

Just add [looks like you subtracted instead] straight down getting 301 then moving the decimal down too.

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2 years ago

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Is 2,5,11 linear or nonlinear

gizmo_the_mogwai [7]

Answer:

linear

Step-by-step explanation:

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2 years ago

A political polling organization wishes to select a smaller focus group from a group of 7 Republicans, 10 Democrats, and 2 Indep

Alina [70]

Answer:

a) 1470 ways

b) 2835 ways

Step-by-step explanation:

the question is not correct, in the correct question The number of independents should be 3 not 2

there are 7 republicans, 10 democrats and 3 independents.

C(n,r) is the number of different combinations of n distinct objects taken r at a time.

C(n,r) = $\frac{n!}{(n-r)!r!}$

a) it will consist of 1 Republican and 4 Democrats

The number of ways this can be chosen is = C(7,1) × C(10,4) = $\frac{7!}{(7-1)!1!} * \frac{10!}{(10-4)!4!}$ = 7 × 210 = 1470 ways

(b) it will consist of 2 Republicans, 2 Democrats, and 2 Independents (consist of 2 independents not 3)

The number of ways this can be chosen is = C(7,2) × C(10,2) × C(2,2)

= $\frac{7!}{(7-2)!2!} * \frac{10!}{(10-2)!2!}* \frac{3!}{(3-2)!2!}$ = 21 × 45 × 3 = 2835 ways

7 0

2 years ago

2x – 10 = 1/2(x – 8)

slava [35]

Answer:

X= 4

Step-by-step explanation:

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2 years ago

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Please help me I’m so lost !!!!

Tasya [4]

Answer:

$4095$

Step-by-step explanation:

$\sum _{n=1}^63\left(4^{n-1}\right)\:$

$\sum _{n=1}^63\cdot \:4^{n-1}$

Compute general progression:

$\frac{3\cdot \:4^{\left(n+1\right)-1}}{3\cdot \:4^{n-1}}=4$

$r=4\\$

$a_1=3\cdot \:4^{1-1}$

$a_1=3$

nth term is computed by:

$r=4,\:a_n=3\cdot \:4^{n-1}$

plug in the values $n=6,\:\spacea_1=3,\:\spacer=4$ :

$=3\cdot \frac{1-4^6}{1-4}$

$=4095$

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2 years ago