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3 years ago

What is the radius of the circle with equation x2 + y2 – 8x + 12y – 5 = 0?

Mathematics

1 answer:

kramer3 years ago

7 0

Answer:

radius: $\sqrt{52}$

Step-by-step explanation:

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The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and bread

TiliK225 [7]

$P = 154\\a = 2b + 2$

a = ?; b = ?

$P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4$

$154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25$

$a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52$

Answer: 25 and 52 m.

3 0

3 years ago

Please help me! in need of help due tomorrow!

julsineya [31]

Answer:

Step-by-step explanation:

(1). A = π r²

A = 4 π

Area of shaded region is $\frac{4\pi *260}{360}$ = $\frac{26}{9} \pi$ or $\frac{26\pi }{9}$

(2). C = 4 π

In this case, the length of the bigger arc and the area of shaded region happen to be the same.

The length of the arc ADB is $\frac{26}{9} \pi$ or $\frac{26\pi }{9}$

3 0

1 year ago

What is the price of a $60.00 jacket after an 18% markup?

lorasvet [3.4K]

Answer:

$70.80

Step-by-step explanation:

60 x 18% = 10.80

$60.00 + $10.80 = $70.80

6 0

3 years ago

Read 2 more answers

Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo

bija089 [108]

<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by $\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}$ provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

$\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}$

$\implies\sf{x=\frac{1 \pm\: 7}{4}}$

Solving one by one,

$\implies\sf{x=\frac{1 + \: 7}{4}}$

$\implies\sf{x=\frac{8}{4}}$

$\implies{\boxed{\bf{x=2}}}$

________________

$\implies\sf{x=\frac{1 - \: 7}{4}}$

$\implies\sf{x=\frac{-6}{4}}$

$\implies{\boxed{\bf{x=\frac{-3}{2}}}}$

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

Hope it helps!! (:

4 0

2 years ago

Analyze and sketch the graph of

Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Please find the attached excel file.

Download xlsx

5 0

4 years ago