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3 years ago

Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7

Mathematics

2 answers:

valentina_108 [34]3 years ago

4 0

Center will be (6,-4) and the radius will be square root of 7

Nat2105 [25]3 years ago

4 0

Answer:

Center (6 , -4) and radius √7.

Step-by-step explanation:

Given : (x – 6)² + (y + 4)² = 7

To find : Find the radius and center of the circle .

Solution : We have given that (x – 6)² + (y + 4)² = 7

We can write this equation as (x – 6)² + (y + 4)² = (√7)².

Standard form of circle (x – h)² + (y - k)² = (r)².

Where, (h , k) center coordinates , r =radius .

On comparing with standard equation :

h = 6, k = -4 and r = √7.

Therefore, Center (6 , -4) and radius √7.

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Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x 2) f(x) = (x – 2)(x 2) f(x) = (x 1)(x – 2)

makvit [3.9K]

The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

<h3>How to determine the function?</h3>

For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:

(h,k) = (0,y)

A quadratic function is represented as:

f(x) = (x - h)^2 + k

So, we have:

f(x) = (x - 0)^2 + k

Evaluate

f(x) = x^2 + k

From the list of options, we have:

f(x) = (x - 2)(x + 2)

Expand

f(x) = x^2 - 4

Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

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8 0

2 years ago

Please help me <br><br>thank you

Sveta_85 [38]

Answer:

Hope this helps!

Take care!

5 0

2 years ago

Read 2 more answers

Assume the readings on thermometers are normally distributed with a mean of 0degreesc and a standard deviation of 1.00degreesc.

Tanzania [10]

Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1

The probability that randomly selected thermometer reads greater than 2.07 is

P(z > 2.07) = 1 -P(z < 2.07)

Using z score table to find probability below z=2.07

P(Z < 2.07) = 0.9808

P(z > 2.07) = 1- 0.9808

P(z > 2.07) = 0.0192

The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192

3 0

3 years ago

Please helpppp. It's due in an hour

TEA [102]

Answer:

sowwy

Step-by-step explanation:

i can't help WITH MY SMALL BRAIN

4 0

3 years ago

Simplify the expression

NeTakaya

First, solve the parenthesis

Remember to follow PEMDAS, and the left-> right rule

12/3 = 4

4 x 2 = 8

8 + 3 = 11

11 - 7 = 4

Square the remaining number

4² = 4 x 4 = 16

16 is your answer

hope this helps

7 0

3 years ago