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Ivan
3 years ago
9

The equation of a circle is given below.

Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Coordinates of center and radius of circle is  (h,k)=(13.40,-2.60)\\r=10 .

<u>Step-by-step explanation:</u>

Here we have , The equation of a circle is given below.

(2 – 13.4)2 + (y + 2.6)2 = 100 or , (x -13.4)^2 + (y + 2.6)^2 = 100

We know that , Equation of circle is given by :

⇒ (x-h)^+(y-k)^2 =r^2  ...........(1)

where (h,k) are the coordinates of center of circle and r is the radius of circle . Let's simplify given equation of circle in question ;

⇒  (x -13.4)^2 + (y + 2.6)^2 = 100

⇒  (x -(13.4))^2 + (y - (-2.6))^2 = 100

⇒  (x -(13.4))^2 + (y - (-2.6))^2 = 10^2

Comparing this equation to (1) we get :

(h,k)=(13.40,-2.60)\\r=10

Therefore , Coordinates of center and radius of circle is (h,k)=(13.40,-2.60)\\r=10 .

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The following system has a solution: x=10, y=-3, z=14
wolverine [178]
<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether x=10, \ y=-3, \ z=14 is the solution to this system, that is, the ordered triple P(x,y,z) where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the x=10, \ y=-3, \ z=14 is not the solution to the system of equations.

5 0
3 years ago
Alice earned $622.50 in interest on her savings in the bank. Before interest, the account had $12,450. What is the approximate p
Akimi4 [234]
Hi there

To find The interest rate the formula is
R=I÷pt
r interest rate?
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T time 1 year
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6 0
3 years ago
Questions and answers attached
Black_prince [1.1K]

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

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3 years ago
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Natasha_Volkova [10]

Answer:

simplified

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
4w+5z=30 solve for w
zepelin [54]

Answer:

w=\frac{30-5z}{4}

Step-by-step explanation:

4w+5z=30\\\\4w+5z-5z=30-5z\\\\4w=30-5z\\\\\frac{4w=30-5z}{4}\\\\\boxed{w=\frac{30-5z}{4}}

Hope this helps.

3 0
3 years ago
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