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3 years ago

(x-3)^2+(y+1)^2=4 what's the center and radius

1 answer:

4 0

The center is 3, -1 and the radius is 2 I believe.

Since the formula is (x-h) ^2 + (y-k) ^2 = r^2, the radius here is already squared so 2 would be the radius. The center would be the h and k and since the k is positive, that means it's negative as the sign has been flipped.

Hope this helps!

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−2(3x−4)−x−3=<br> \,\,33<br> 33

notsponge [240]

Answer: $=-7x+5$

Step-by-step explanation:

$-2\left(3x-4\right)-x-3$

$=-\left(2\left(3x-4\right)+x+3\right)$

$=-\left(6x-8+x+3\right)$

$=-\left(7x-5\right)$

$=-7x+5$

5 0

3 years ago

Which is the solution to the inequality?

I am Lyosha [343]

Answer: A

Step-by-step explanation:

Subtract 12 from both sides:

y + 15 - 15 < 3 - 15

Simplify:

y < -12

8 0

2 years ago

Which of the following is a rational number?

scoray [572]

Examples of rational numbers are: -2 = -2/1, -5 = -5/1, -14 = -14/1, 1/2, 2/3, 5/8, 3/4, 17/5, . 6 = 6/10 = 3/5, . 25 = 1/4, . 33 = 33/100, 2¾ = 11/4, 3⅓ = 10/3, .

5 0

3 years ago

if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%

Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0

3 years ago

PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED

Andrews [41]

To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

$x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61$

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

$d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00$

From the calculations above, the values of the triangle are

diagonal = 7
base = 3.61
height = 6

Learn more on pythagorean theorem here;

brainly.com/question/231802

#SPJ1

7 0

2 years ago