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3 years ago

#15. Write the equation of each circle.

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

Step-by-step explanation:

The center is at (1,-2) from the graph.

The radius is 2 [3 - 1 on the horizontal]

The equation of the circle is

(x - 1)^2 + (y + 2)^2 = 2^2

(x - 1)^2 + (y + 2)^2 = 4

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Laquita divides 3 pizzas equally among her 5 children. How much pizza does each child receive?

Licemer1 [7]

Answer:

Step-by-step explanation:

3/5= 0.6 pizzas a kid

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4 years ago

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Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)

Natalija [7]

Answer:

y = x - 2

Step-by-step explanation:

Find the slope using rise over run

(y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-5 - 4) / (-3 - 6)

-9 / -9

= 1

Using y = mx + b, plug in the slope and a point to solve for b:

y = mx + b

4 = 1(6) + b

4 = 6 + b

-2 = b

Plug in the slope and b to y = mx + b

y = 1x - 2

y = x - 2

So, the equation of the line is y = x - 2

3 0

3 years ago

Need Help Choose All That Apply

o-na [289]

Answer:

It would be c and d,

Step-by-step explanation:

3 0

4 years ago

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a person bikes 2 1/2 miles at a constant rate in 1/8 of an hour what distance , does the person bikes in an hour.

yuradex [85]

Answer:

20 miles

Step-by-step explanation:

We are given that

Person traveled total distance by bike=2 1/2 miles

Person traveled total distance by bike== $2+\frac{1}{2}=2.5miles$

Time taken by person ,t=1/8 hour

We have to find the distance traveled by person bike in an hour.

We know that

Rate== $\frac{Distance}{time}$

Using the formula

Rate= $\frac{2.5}{\frac{1}{8}}$ miles/hr

Rate=20mph

In 1 hour person bike traveled distance=20 miles

4 0

3 years ago

NASA scientists discovered a planet in December of 2004. After observation, they have come to a conclusion that the population d

AURORKA [14]

Step-by-step explanation:

so, there is a population in that planet. right ?

that means they discovered a populated planet.

anyway,

18 years

p0 is the start population.

p0 × 2 after 3 years

p0 × 2 × 2 = p0 × 4 after 6 years

p0 × 4 / 6 after 6 years

(p0 × 4 / 6) × 2 after 9 years

(p0 × 4 / 6) × 4 after 12 years = p0 × 8/3 after 12 years

(p0 × 8/3) / 6 after 12 years = p0 × 8/18 = p0 × 4/9

p0 × 4/9 × 2 after 15 years

p0 × 4/9 × 4 after 18 years

p0 × 4/9 × 4 / 6 after 18 years = p0×16/54 = p0 × 8/27 = 512

p0 = 512×27/8 = 1728

p(n) = p0 × (2/3)^(n/6)

with n being years.

because

the population changes by a factor 2 every 3 years = 2^(n/3)

and by a factor 1/6 every 6 years = (1/6)^(n/6).

so,

p(n) = p0 × 2^(n/3) × (1/6)^(n/6)

2^(n/3) = 2^(2n/6) = 2²^(n/6) = 4^(n/6)

therefore,

p(n) = p0 × 4^(n/6) × (1/6)^(n/6) =

= p0 × (4/6)^(n/6) = p0 × (2/3)^(n/6)

7 0

3 years ago