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DerKrebs [107]
3 years ago
6

If using the method of completing the square to solve the quadratic equation

Mathematics
1 answer:
sertanlavr [38]3 years ago
4 0

Answer:

x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i

Step-by-step explanation:

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A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
2 years ago
Analyze the key features of the graph f(x) = 1/x+3 -2
tia_tia [17]
<h2>Explanation:</h2><h2></h2>

Here we have the following rational function:

f(x) = \frac{1}{x+3} -2

So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:

g(x)=\frac{1}{x}

Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:

Step 1. Shift the graph 3 units to the left:

f_{1}(x) = \frac{1}{x+3}

Step 2. Shift the graph 2 units down:

f(x) = \frac{1}{x+3}-2

Finally, the features of the graph of f are:

The graph of this function comes from the parent function g and the transformations are:

  • A shifting 3 units to the left
  • A shifting 2 units down

8 0
3 years ago
W/6 + 5/8 = - 1 3/8 what does W equal??
lara31 [8.8K]

Answer:

w=−12

Step-by-step explanation:

1

6

w+

5

8

=

−11

8

Step 2: Subtract 5/8 from both sides.

1

6

w+

5

8

−

5

8

=

−11

8

−

5

8

1

6

w=−2

Step 3: Multiply both sides by 6.

6*(

1

6

w)=(6)*(−2)

w=−12

8 0
3 years ago
Helppppppp pls........
zimovet [89]

Answer:

  • c. is the correct answer
<h3>Mark me as brain list</h3>
4 0
3 years ago
Read 2 more answers
Mathmatical proofs. please help
belka [17]
Answer looking for the part of the proof that is wrong
They switched the right angles with their opposite
See picture, that’s the best way I could show you without typing the whole thing over
Switch the two Right angles in the sentence

6 0
2 years ago
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