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3 years ago

Find an equation of the circle that has center (-6,2) and passes through (1,-2).

Mathematics

2 answers:

Natali5045456 [20]3 years ago

8 0

Answer:

(x+6)^2+(y-2)^2=65

Step-by-step explanation:

Rzqust [24]3 years ago

3 0

Answer:

Should be (x+6)^2+(y-2)^2=65

the number after the carrot represents an exponent

hope it helps

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What is the slope????

RUDIKE [14]

Answer:

Step-by-step explanation:

Rise/run

7 0

3 years ago

Find the volume of the sphere . (Geometry)

asambeis [7]

Answer:

V = 32/3 pi

Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

We know the radius is 2

V = 4/3 pi (2)^3

V = 4/3 pi (8)

V = 32/3 pi

6 0

3 years ago

7. The probability that a randomly chosen student will be left-handed is .09: a) In a class of 108, find the probability that th

vampirchik [111]

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

μ = np = 9.72

$\sigma = \sqrt{np(1-p)}$

$=\sqrt{8.8452}$

= 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$

$=P(-0.75 < z < -0.41)$

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$

$=P(0.60 < z < 0.94)$

Using z table,

= P(z< 0.94)-P(z< 0.60)

= 0.8294 - 0.7257

= 0.1006

7 0

3 years ago

83% of ____=75.53 this is for my math ixl

Katarina [22]

Answer:

83% of 91 = 75.53

5 0

3 years ago

Write a system of equations to describe the situation below, solve using any method, and Fill in the blanks.

Tatiana [17]

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let $x$ be equal to the cost of 1 haircut.

Let $y$ be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ $3x+y=239$

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ $2x+y=192$

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- $3x+y=239\\2x+y=192$

⇒ $3x-2x+y-y=239-192\\x=47$

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

$2(47)+y=192\\94+y=192$

Subtract both sides by 94

$94+y-94=192-94\\y=98$

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

4 0

3 years ago