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lakkis [162]
3 years ago
7

Please show your work. i’ll give brainliest!

Mathematics
2 answers:
Orlov [11]3 years ago
8 0

A coefficient is a number that is being multiplied by a variable. In this case, we see that x in one term is being multiplied by 4, and in another term, x is being multiplied by -16 (If you change the operation to addition, you negate the 16).

So the coefficients in this expression are: 4 and -16.

pshichka [43]3 years ago
6 0

Factor 4x2−16x+16

4x2−16x+16

=4(x−2)(x−2)

Answer:

4(x−2)(x−2)


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Prove the formula for (d/dx)(cos−1(x)) by the same method as for (d/dx)(sin−1(x)). Let y = cos−1(x). Then cos(y) = and 0 ≤ y ≤ π
gtnhenbr [62]

Answer:

\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }

Step-by-step explanation:

Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;

let;

y = cos^{-1} x \\\\taking \ cos\ of\ both\ sides\\\\cosy = cos(cos^{-1} x)\\\\cosy = x\\\\x = cosy\\\\\frac{dx}{dy} = -siny\\

\frac{dy}{dx} = \frac{-1}{sin y}  \\\\from\ trigonometry\ identity,\ sin^{2} x+cos^{2}x = 1\\sinx = \sqrt{1-cos^{2} x}

Therefore;

\frac{dy}{dx} = \frac{-1}{\sqrt{1-cos^{2}y } }

Since x = cos y from the above substitute;

\frac{dy}{dx} = \frac{-1}{\sqrt{1-x^{2}} }

Hence, \frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} } gives the required proof

5 0
4 years ago
How much time would it take for an airplane to reach it's destination if it is moving at a speed constant speed of 750km/h for a
Juliette [100K]

Answer:

7 hrs

Step-by-step explanation:

1hr = 750

? = 5250

5250/750 = 7

4 0
3 years ago
Plz helpp. In a high school with 5,000 students, the number of text messages sent by each student during a particular month was
vampirchik [111]

Answer:

A) 800

Step-by-step explanation:

I am on a challenge and I need points plus you told me

8 0
4 years ago
6. What is 45% of 900?
Crazy boy [7]

Answer:

405

Step-by-step explanation:

45% of 900

=(45/100) . 900

=405

5 0
3 years ago
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NNADVOKAT [17]

Answer:

I cant see it

Step-by-step explanation:

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3 years ago
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