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Alona [7]
3 years ago
5

The general form of the equation of a circle is x2+y2−4x−8y−5=0.

Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Answer:

centre = (2, 4)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 4x - 8y - 5 = 0

Rearrange the x/y terms together and add 5 to both sides

x² - 4x + y² - 8y = 5

Use the method of completing the square on both the x/y terms

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16

(x - 2)² + (y - 4)² = 25 ← in standard form

with centre (2, 4) and r = \sqrt{25} = 5

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Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 20. Find the prob
Ipatiy [6.2K]

Answer:

Randomly selected adult has an IQ less than 136 is 0.9641

Step-by-step explanation:

It is given that, it is normal distribution with mean 100 and SD as 20.

So, let's use the formula of z-score

z=\frac{x-mean}{SD}

For this problem,

x= 136

Plug in this value into the formula

z-score=\frac{136-100}{20}

       =1.8

Now, use z-score table to find the probability

Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641

So, Randomly selected adult has an IQ less than 136 is 0.9641

3 0
3 years ago
Pls help LOL I need helo
Andrews [41]
500$ if that’s an answer
5 0
3 years ago
If -2x+3=7 and 3x+1= 5+y
sertanlavr [38]

Answer: x = -2, y = -10

Step-by-step explanation:

solve for x first in the equation -2x+3=7

-2x+3=7

-2x = 4

x = -2

now plug that x value into the other equation so we can find y

3x+1 = 5+y

3(-2)+1 = 5+y

-6+1 = 5+y

-5=5+y

-10 = y

7 0
3 years ago
Read 2 more answers
An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.
Kaylis [27]

Answer:

24 units


Step-by-step explanation:

The volume of the cylinder = πr²x

Where r is the radius of the base and x is the height of the cylinder.

πr²x = 1,176π

π×(14/2)²x = 1,176π

dividing by π both sides,

(14/2)²x = 1,176

7²x = 1,176

49x = 1,176

x = 1,176/49

  = 24 units


7 0
3 years ago
What is the y-intercept of the function f(x) = -2/3x + 1/3<br> -2/9<br> -1/3 <br> 1/3<br> 2/9
elena55 [62]

Answer:

<h2>1/3</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{We have the equation:}\ f(x)=-\dfrac{2}{3}x+\dfrac{1}{3}\to y=-\dfrac{2}{3}x+\dfrac{1}{3}\\\\the\ slope:\ m=-\dfrac{2}{3}\\\\the\ y-intercept:\ b=\dfrac{1}{3}

4 0
4 years ago
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