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Allisa [31]
2 years ago
6

Write the equations of the circle with center at -1,5 that passes through the point 2,9​

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

d =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} }  \\ d =  \sqrt{( {2 - ( -1))}^{2} +  {(9 - 5)}^{2}  }  \\ d =  \sqrt{ {3}^{2} +  {4}^{2}  }  \\ d =  \sqrt{9 + 16}  \\ d =  \sqrt{25}  = 5 \: answer

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I need help pls on math
Rina8888 [55]

x^2-x-12=x^2+3x-4x-12=x(x+3)-4(x+3)=(x+3)(x-4)\\\\x^2-2x-8=x^2+2x-4x-8=x(x+2)-4(x+2)=(x+2)(x-4)\\\\4x^2=2x\cdot2x



\dfrac{x^2-x-12}{2x}:\dfrac{x^2-2x-8}{4x^2}=\dfrac{x^2-x-12}{2x}\cdot\dfrac{4x^2}{x^2-2x-8}\\\\=\dfrac{(x+3)(x-4)}{2x}\cdot\dfrac{2x\cdot2x}{(x+2)(x-4)}=\dfrac{(x+3)}{1}\cdot\dfrac{2x}{(x+2)}\\\\=\boxed{\dfrac{2x^2+6x}{x+2}}

4 0
3 years ago
Consider a single spin of the spinner. Which events are mutually exclusive? Select two options.
kozerog [31]

Answer:

There is no option in the question given.

However, In logic and probability theory, two events are mutually exclusive or disjoint if they cannot both occur at the same time. A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

5 0
3 years ago
Read 2 more answers
At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children,
Bogdan [553]

This involves creating some equations.

First, these are what the letters I used stand for:

c = children

w = women

m = men

x = total population

Then, we must make an equation for each statement.

2/5x = m (2/5 of the people are men)

3c = w (there are 3 times as many women than children)

45+c = m (there are 45 more men than children)

Now, let's start plugging in our numbers:

x = all the men, women, and children

2/5(m+w+c) = m

2/5 (45+c +3c + c) = m     [Now simplify]

2/5 (45 + 5x) = m       [Now Distribute]

2/5(45) + (2/5)(5x) = m

2c + 18 = m    [Above we stated that there were the same amount as men as c +45]

2c + 18 = 45 +c     [Now set equal to c]

2c (-c) +18 = 45 +c (-c)

c+18 (-18) = 45 (-18)

c = 27

Now that we know that there was 27 children, we can plug 27 in for c in the other equations.

MEN = 27 + 45

WOMEN = 3(27)

CHILDREN = 27

Now add those three answers to find your total!

8 0
3 years ago
*BRIANLIEST WILL BE GIVEN*(08.06 LC)
Ganezh [65]
Adding the equations to eliminate p would be the correct step because when you add the equations together, the variable p would cancel out and be eliminated leaving you with 2w=35 you can then solve for the value of w which you can then input to find the value of p, allowing you to solve for the values of both p and w.
6 0
3 years ago
Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126? ​
goldenfox [79]

Answer:

Charlie would have to work 7 hours to make $126.

Step-by-step explanation:

198 ÷ 11 = 18

$18 - 1 hour

126 ÷ 18 = 7

4 0
3 years ago
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