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Elan Coil [88]
2 years ago
12

Find the measure of m∠K

Mathematics
1 answer:
Jobisdone [24]2 years ago
5 0

Answer:

<k = 20

Step-by-step explanation:

Inscribed Angle = 1/2Intercepted Arc

<K = 1/2 (40)

<k = 20

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Determine if the equation below is a function with independent variable x. If so, find the domain. If not, find a value of x to
Andre45 [30]

Answer:

No because it contains points (3,4) and (3,-4).  You cannot have a x assigned to more than one y-value if you want it to be a function.

Step-by-step explanation:

A function has one output per input.

If we are trying to determine if the given is a function of x, then x is the input.

However I can get two outputs from plugging in x=3.

3^2+y^2=25

9+y^2=25

Subtract 9 on both sides:

y^2=25-9

y^2=16

Take the square root of both sides:

y=\pm \sqrt{16}

y=\pm 4.

So input x=3 yields y=4 and y=-4.

Since this input has more than one output then the given is not a function of x.

----Also!

If you graph the equation, it is a circle with radius 5 and center (0,0). So I could I plug in any number for x between -5 and 5 excluding -5 and 5 which would yield only one output each. Since plugging in either one gives:

(\pm 5)^2+y^2=25

25+y^2=25

Subtract 25 on both sides:

y^2=25-25

Simplify:

y^2=0

There is only one value y such that when you square it gives you 0. That is 0.

x=5 only gives y=0 and x=-5 only gives y=0.

There is no circle, unless it is a circle with radius 0 which means it really wouldn't be a circle, that is a function.

8 0
2 years ago
Please Help!<br> Factor the following trinomial<br> <img src="https://tex.z-dn.net/?f=9x%5E2-24x%2B16" id="TexFormula1" title="9
AlexFokin [52]

\huge\colorbox{pink}{Hey \: panda!}

The answer=>

For this,we need to know what's Middle splitting method

  • In order to factorize x² + bx + c we have to find numbers p and q such that p + q = b and pq = c. After finding p and q, we split the middle term in the quadratic as <em><u>px + qx and</u></em> get desired factors by grouping the terms.

Step-by-step explanation:

9x {}^{2}  - 24x + 16 \\  =  > 9x {}^{2}  - 12x - 12x + 16 \\  =  > 3x(3x - 4) - 4(3x - 4) \\  =  > (3x - 4)(3x - 4) \\ so... \\ x = eitherway \: 4

i.e

Alpha= Beta = 4

5 0
3 years ago
Read 2 more answers
A cheetah can run 70 miles per hour. What is this speed in feet per hour
GarryVolchara [31]

If I am correct the answer is 369,600 feet per hour.

7 0
3 years ago
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Is 7n equivalent to 15n-8n
Lemur [1.5K]

Answer:

Yes.

Step-by-step explanation:

Yes. When we simplify 15n-8n, it equals 7n.

5 0
2 years ago
Use the net below to determine the surface area of the cylinder.
pentagon [3]

The correct answer should be :

Option 3 : 753.6cm^{2}

Hope this helps,

Davinia.

6 0
2 years ago
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