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jenyasd209 [6]
3 years ago
14

What is the radius for the circle given by the equation? 

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Use:

(a-b)^2=a^2-2ab+b^2\qquad(*)

x^2+y^2-6y-12=0\ \ \ \ |+12\\\\x^2+y^2-6y=12\\\\x^2+y^2-2y\cdot3=12\ \ \ \ |+3^2\\\\x^2+\underbrace{y^2-2\cdot y\cdot3+3^2}_{(*)}=12+3^2\\\\x^2+(y-3)^2=21\\\\\boxed{k=3}

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How do you interpret a slope and the y- intercept?
nexus9112 [7]
The slope is rise over run, how many times you go up (or if down it'd be a negative) and over.
The y-intercept is what point on the y axis the line passes through
8 0
3 years ago
What is the interval notation for the compound inequality? x is less than or equal to -4 or x is greater than or equal to 5?
Tems11 [23]

x is less than or equal to -4 or x is greater than or equal to 5

x <= -4 or x>= 5

There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality

for x<=-4 , x starts at -4  and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets

Interval notation is (-∞ , -4]

for x>= 5 , x starts at 5  and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5

Interval notation is [5 , ∞)

Now combine both notation by a 'U' symbol Union

(-∞ , -4] U [5 , ∞)

5 0
3 years ago
Find the volume of the cube in inches^3 and enter your answer below. Do not include units in your answer.
AnnyKZ [126]

Answer:

16?

Step-by-step explanation:

5 0
3 years ago
3x -4y= -20 -x +2y =10 whats the value of y
Anni [7]
3x-4y=10
-20-x+2y=10 then -30+2y=x now plug this in the other equation:
3(-30+2y)-4y=10
-90+6y-4y=10
2y=100
y=50
4 0
3 years ago
Mario has a very disorganized sock drawer. Inside, there are 12 black socks and 16 white socks. Without looking, Mario takes one
BlackZzzverrR [31]

Given

12 black socks

16 white socks

Without looking, Mario takes one sock out of the drawer and then takes out another without replacing the first sock

Which expression shows one way to find the probability that he will take out two white socks?

Procedure

for the first white socks

\frac{16}{16+12}=\frac{16}{28}=\frac{4}{7}=0.5714

for the second white socks

\frac{15}{15+12}=\frac{15}{27}=\frac{5}{9}=0.555

3 0
1 year ago
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