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Oxana [17]
11 months ago
8

The raidius of the circle is r=___The equation of the circle in standard form____

Mathematics
1 answer:
Schach [20]11 months ago
3 0

step 1

Find the radius of the circle

To find out the radius, calculate the distance between the center and any point that lie on the circle

so

(-2,3) and (-2,0)

Its a vertical distance

so

r=3-0=3 units

step 2

we have the radius r=3 units and the center (-2,3)

the equation of the circle is

\begin{gathered} (x+2)^2+(y-3)^2=3^2 \\ (x+2)^2+(y-3)^2=9 \end{gathered}

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Thomas is 4 years older than his brother william. in five years the sum of their age will be 24. how old is each boy?
Rasek [7]
Let William be x years old.

Thomas = (4 + x) years

In five years,

William = (x + 5) years

Thomas = 4 + x + 5 = (9 + x) years

Given, in five years sum of their ages is 24.

x + 5 + 9 + x = 24

2x + 14 = 24

2x = 24 - 14 

2x = 10

x = \frac{10}{2}

x = 5

Hence, William is 5 years old and Thomas is 9 years old.
5 0
3 years ago
The population of a bacteria colony is growing exponentially, doubling every 6 hours. If there are 150 bacteria currently presen
marusya05 [52]

Answer:

If rounded to the nearest 10 bacteria, then it would be 500 bacteria.

Step-by-step explanation:

First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.

8 0
2 years ago
Compare. Write &lt;, &gt;, or=.<br>11. V8 +3( ) 8+ V3​
Levart [38]

Answer:

=

Step-by-step explanation:

v8 + 3 = 8 + v3

-3 -3

________________

v8 = 5 + v3

-v3 -v3

___________

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8 0
3 years ago
how much money has to be invested at 5.9% interest compounded continuously to have 15,000 after 12 years?
Scrat [10]
Hi there

The formula is
A=pe^rt
We need to solve for p where
A future value 15000
P present value?
E constant
R interest rate 0.059
T time 12 years
So when you solve for p you get
P=A÷e^rt
P=15,000÷e^(0.059×12)
P=7,389.43

Hope it helps
6 0
3 years ago
Read 2 more answers
A line goes through the points (1, 4) and (2, 6). Write the equation of this line in slope-intercept form.
umka21 [38]
Y2-y1=6-4=2
x2-x1=2-1=1
2/1=2
The slope is 2
y=2x+b
4=2(1)+b
4=2+b
-2
2=b


y=2x+2
6 0
3 years ago
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