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3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Mathematics

1 answer:

velikii [3]3 years ago

4 0

Equation of circle is:

$x^2+y^2-6x+4y - 12 = 0$

Further explanation:

We have to use the standard form of equation of a circle to find the equation of circle from given details

The general equation of circle is:

$(x-h)^2+(y-k)^2=r^2$

Given

Centre = (h,k) = (3, -2)

Radius = r = 5

Putting the values in the general equation

$(x-3)^2+(y-(-2))^2 = (5)^2\\(x-3)^2+(y+2)^2 = 25\\(x^2-6x+9)+(y^2+4y+4) = 25\\x^2+y^2-6x+4y+9+4-25 = 0\\x^2+y^2-6x+4y - 12 = 0$

Keywords: Circles, Equation of circle

Learn more about circles at:

#LearnwithBrainly

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Is 65.4279 irrational or rational? Explain

Pachacha [2.7K]

It’s a rational number!

3 0

2 years ago

W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Bo

weeeeeb [17]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

Given $W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}$

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

$P = 2^n - 1$

Where

$n = number\ of\ elements$

In this case;

$n = 10$

So:

$P = 2^n - 1$

$P = 2^{10} - 1$

$P = 1024 - 1$

$P = 1023$

Hence;

<em>Proper Subsets = 1023</em>

7 0

3 years ago

Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35

stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0

3 years ago

True or false !!!<br><br> T or F

trapecia [35]

Tan x = opp/adj

For angle C, opp = 4, and 3 = adj, so

tan C = 4/3

Answer: False

6 0

2 years ago

. A study of one thousand teens found that the number of hours they spend on social networking sites each week is normally distr

Gnesinka [82]

We are given the following data:

Sample Size = n = 1000

Sample Mean = u = 15 hours

Population Standard Deviation = s = 2 hours

Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.

Formula for the confidence interval is:

$(u-z\frac{s}{\sqrt{n}} , u+z\frac{s}{\sqrt{n}})$

Using the values in the formula, we get:

$(15-1.96\cdot\frac{2}{\sqrt{1000}}, 15+1.96\cdot\frac{2}{\sqrt{1000}})\\ \\ (14.88,15.12)$

Therefore, the 95% confidence interval about the population mean is 14.88 hours to 15.12 hours. So B option is the correct answer.

4 0

3 years ago

Read 2 more answers