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Lostsunrise [7]
3 years ago
7

Which equation represents a circle with a center at (-3,-5) and a radius of 6 units?

Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer: (x+3)2 + (y+5)2 =36

Step-by-step explanation:

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Deer heads are the best heads
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Solve each pair of equations by substituting <br><br><br> 2x + y = 3<br> 4x + 3y = 1
Usimov [2.4K]
Step: Solve
2
x
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Step: Substitute
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4
x
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3
y
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:
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x
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4
x
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3
(
−
2
x
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3
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−
2
x
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9
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(Simplify both sides of the equation)
−
2
x
+
9
+
−
9
=
1
+
−
9
(Add -9 to both sides)
−
2
x
=
−
8
−
2
x
−
2
=
−
8
−
2
(Divide both sides by -2)
x
=
4

Step: Substitute
4
for
x
in
y
=
−
2
x
+
3
:
y
=
−
2
x
+
3
y
=
(
−
2
)
(
4
)
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6 0
3 years ago
Read 2 more answers
If you flip two coins 76 times, what is the best prediction possible for the number of times both coins will land on tails? ​
ioda

Answer:

38 times

Step-by-step explanation:

A coin has two sides, so there is a 50% chance it will land on either side (assuming perfect conditions and that the coin cannot land vertically). With that in mind, if you flip a coin 76 times, 50% or 1/2 of the times the coin should land on tails. That is 36 times. (Once again, this is under perfect testing conditions. In real life, you probably wouldn't get an even split after only 76 flips.)

Hope this helps :)

3 0
3 years ago
What is the perimeter of rhombus WXYZ?
oksian1 [2.3K]

<u>Answer</u>:

The perimeter of rhombus WXYZ is 4 \sqrt{13}

<u>Step-by-step explanation:</u>

Step 1 :Finding length  of  XY

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 5

x_2=3

y_1= -1

y_2=2

XY  = \sqrt{(3-5)^2 +(2 -(-1))^2}

XY  = \sqrt{(3-5)^2 +(2 +1))^2}

XY  = \sqrt{(-2)^2 +(3))^2}

XY  = \sqrt{4 +9}

XY  = \sqrt{(13)}

Step 2 :Finding length  of  YZ

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 3

x_2=5

y_1= 2

y_2=5

YZ  = \sqrt{(5-3)^2 +(5-2)^2}

YZ = \sqrt{(2)^2 +(3)^2}

YZ = \sqrt{4 +9}

YZ  = \sqrt{(13)}

Step 3 : :Finding length  of  ZW

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 5

x_2=7

y_1= 5

y_2=2

ZW = \sqrt{(7-5)^2 +(5-2)^2}

ZW  = \sqrt{(2)^2 +(3)^2}

ZW  = \sqrt{4 +9}

ZW = \sqrt{(13)}

Step 4 :Finding length  of  WX

Distance formula  = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

here

x_1= 7

x_2=5

y_1= 2

y_2= -1

WX = \sqrt{(7-5)^2 +((-1)-2)^2}

WX  = \sqrt{(2)^2 +(-3)^2}

WX  = \sqrt{4 +9}

WX = \sqrt{(13)}

Step 5: finding the perimeter of the rhombus

Perimeter= 4 X side

=> 4 \times \sqrt{13}

=> 4 \sqrt{13}

5 0
3 years ago
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The average daily volume of a computer stock in 2011 was μ=35.1 million​ shares, according to a reliable source. A stock analyst
alexandr1967 [171]

Answer:

The 95% confidence interval is ( 27.126 , 34.674)

Step-by-step explanation:

Given

The t critical value at 0.05 level = 2.023 for the df = 39

Confidence interval = 95%

Mean  

\bar{x} - t * \frac{s}{\sqrt{n} } < \mu < \bar{x} + t * \frac{s}{\sqrt{n} }

Substituting the given values we get -

\30.9 - 2.023 * \frac{11.8}{\sqrt{40} } < \mu < \30.9 + 2.023 * \frac{11.8}{\sqrt{40} }\\27.126 < \mu < 34.674

Hence, the 95% confidence interval is

( 27.126 , 34.674)

4 0
3 years ago
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