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3 years ago

If the radius of a circle is 15 units and the center

Mathematics

1 answer:

fgiga [73]3 years ago

7 0

Answer:

(x+3)^2 + (y-2) ^2 = 225

Step-by-step explanation:

We can write the equation of a circle in the form

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

where (h,k) is the center and r is the radius

(x- -3)^2 + (y-2) ^2 = 15^2

(x+3)^2 + (y-2) ^2 = 225

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Use the following function to find the value of each operation.

Murljashka [212]

<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

$w(f(m(2))) = 593$

<h3>Step-by-step explanation:</h3>

We can write how $w(f(m(x)))$ will be defined but that's too much work and it's only useful when we are evaluating $w(f(m(x)))$ with many inputs.

First let's solve for $m(2)$ first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

$m(x) = -4x +1$

Solving for $m(2)$ :

$m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7$

Now we can solve for $f(m(2))$ , since $m(2) = -7$ , $f(m(2)) = f(-7)$ .

Given:

$f(x)=3x-1$

Solving for $f(-7)$ :

$f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22$

Now we are can solve for $w(-22)$ . By now you should get the idea why $w(f(m(2))) = w(-22)$ .

Given:

$w(x) = x^2 -5x -1$

Solving for $w(-22)$ :

$w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593$

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2 years ago

A student has a savings account with d dollars in it. The student plans to withdraw w dollars each month for

Amiraneli [1.4K]

Answer:

b = d -wn

Step-by-step explanation:

b = d -wn

Here, n is an independent variable and b is an dependent variable in an linear relation, and d and w are two constant values.

Hope it will find you well.

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Answer:

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Answer:

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Step-by-step explanation:

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WARRIOR [948]

Answer:

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2 years ago

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