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Temka [501]
3 years ago
10

Find the points on x-axis where the circle with equation X square + Y square - 8 x - 8 Y - 9 = 0

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer:

(- 1, 0) and (9, 0 )

Step-by-step explanation:

To find the x- intercepts let y = 0 in the equation and solve for x, that is

x² + y² - 8x - 8y - 9 = 0

x² - 8x - 9 = 0 ← in standard form

(x - 9)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 9 =0 ⇒ x = 9

x + 1 = 0 ⇒ x = - 1

x- intercepts are (- 1, 0 ) and (9, 0 )

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At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10,
Bogdan [553]
Well, if the radius is 10, then the circumference is \frac{2*10*22}7=\frac{440}7
What's the unit? Either way, 22 rev. per minute means each minute you go by 22*\frac{440}7=\frac{9680}7 units per second. Now you got the linear speed, just find out the time by dividing the distance by the speed!
So, what's the unit for the radius?
5 0
3 years ago
Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky
eduard

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

y = ax + b

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when x = 0, y = 0

So

y = ax + b

0 = a*0 + b

b = 0

(0.5, 20)

When x = 0.5, y = 20

So

y = ax

20 = 0.5a

a = \frac{20}{0.5}

a = 40

The function in:

y(x) = 40x

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

y(2) = 40*2 = 80

Less than 2 hours for 60 pages, so this is false.

It will take her 3 hours to read 120 pages.

y(3) = 40*3 = 120

This statement is true.

It will take her 4 hours to read 180 pages.

y(4) = 40*4 = 160

More than 4 hours to read 180 pages. So false.

It will take her 5 hours to read 210 pages.

y(5) = 40*5 = 200

More than 5 hours to read 210 pages. So false.

6 0
3 years ago
Melia put the $30 her Grandmother gave her for her tenth birthday into her piggy bank. Each week after
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This is a sequence because the points form a straight line. The expression is: t(n) = 30 + 2x, x is number of weeks. On her 18th birthday, that is 8 years after her 10th. that means 416 weeks have passed since her 10th birthday. Plug 416 into the equation to get: t(416) = 30 + 2(416) = $862. She will have $862 to Spend.
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3 years ago
If a leaf is 8 centimetres long. About (to the nearest whole number) how long is the leaf in inches?
Dmitry_Shevchenko [17]

Answer:

3 inches rounded but actually 3.14961

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through (-6,0) and $(0,-24)
motikmotik

Answer:

-4

Step-by-step explanation:

Y2 = -24 and Y1 = 0

X2 = 0 and X1 = -6

Y2-Y1/ X2- X1= -24 - 0/ 0 - (-6) = -4

y= -4x + c

y + 4x= c

6 0
2 years ago
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