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disa [49]
3 years ago
10

What is the center of the circle with the equation x2 + y2 – 10x – 11 = 0 ?

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0
Rearrange to standard form:-

x^2 - 10x + y^2 = 11
(x - 5)^2 - 25 + y^2 = 11
(x - 5)^2 + y^2 = 36

Center of circle = (5, 0)  and radius  = sqrt36  =  6
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A graph is shown below:
Zanzabum
The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:

b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3

So, the equation of the line would be y = -3x + 36.
4 0
3 years ago
What is the value of z? <br> 4z+3=8
Anika [276]

Answer:

z = 1.25

Step-by-step explanation:

7 0
3 years ago
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Three Questions 1) What does 5 7/8 - 2 3/8 equal? and 2)What does 5 7/12 -4 1/12 equal?3) What does 3 5/10 - 1 3/10 equal?
stiks02 [169]
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7 0
3 years ago
Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
san4es73 [151]

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?

Answer:

$96.15

Step-by-step explanation:

Let x be the wholesale cost of the bike.

Given:

Price tag of a bike = $125.

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

So we can find the wholesale cost of the bike by the following way.

\frac{100+30}{100}\times x = 125

\frac{130}{100}\times x = 125

x=\frac{125\times 100}{130}

x=\frac{12500}{130}

x=\frac{1250}{13}

x=96.15

Therefore, the wholesale cost of the bike is $96.15.

7 0
3 years ago
HELP: Cho charges $1500 to build a small deck and $2500 to build a large deck. During the spring and summer, she built 5 more sm
Ludmilka [50]

Answer:

if she build x numbers of large decks, therefore small decks would be (x + 5)

1500*(x+5)+2500x   =23500

1500x+7500+2500x=23500

4000x+7500             =23500

                        4000x=23500-7500

                         4000x=16000

                                  x=4

4+5=9

cho built 4 large decks and 9 small decks

7 0
3 years ago
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