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Ronch [10]
4 years ago
7

Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40

Mathematics
1 answer:
Taya2010 [7]4 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = \sqrt{40} = 2\sqrt{10}

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3 years ago
Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a star
n200080 [17]

Answer:

<em>x=25/16</em>

Step-by-step explanation:

<u>Approximate Roots of Functions:</u>

We are required to find the root of  

\displaystyle 5^{-x}+7=\ 2x+4

Let's construct a function

\displaystyle f(x)=\ 5^{-x}+7-2x-4

Reducing:

\displaystyle f(x)= 5^{-x}-2x+3

The equation will have a solution when f(x)=0. We'll start from the approximate crossing point given in the graph (x=1.5)

\displaystyle f(1.5)=5^{-1.5}-2(1.5)+3\ =0.089

We'll move up on x=1.52  

\displaystyle f(1.52)=5^{-1.52}-2(1.52)+3=\ 0.046

We are closer to the solution, let's try some more up

\displaystyle f(1.54)=5^{-1.54}-2(1.54)+3=\ 0.0038

This value x=1.54 is close enough to the solution of the original equation

From the options given, \frac{25}{16} is the closest to our solution

\boxed{Answer:\ x=25/16}

8 0
4 years ago
Help me out ? it would help alot
Dafna1 [17]
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3 years ago
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How many different sums can be made with 3 numbers?
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1 sum

because of the commutative property of addition
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