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3 years ago

Another easy one

1 answer:

4 0

The limit is equivalent to the value of the derivative of $\cos x$ at $x=\dfrac\pi2$ . (See definition of derivative)

$(\cos x)'=-\sin x\implies (\cos x)'\bigg|_{x=\pi/2}=-\sin\dfrac\pi2=-1$

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zhuklara [117]

A triangle is an isosceles if two sides are equal, it’s an equilateral if all three sides are equal.

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3 years ago

Read 2 more answers

Which function matches g? Two hook shaped graphs, f and g, on a coordinate plane. The graph of f has three line segments: negati

avanturin [10]

Answer:

Option (2).

Step-by-step explanation:

Coordinates of points A(-2, 2), B(-1, -1), C(-1, 4) and (0, -2)

By using formula to get the length of any segment having extreme ends at $(x_1,y_1)$ and $(x_2,y_2)$ ,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Length of segment AB = $\sqrt{(-2+1)^2+(2+1)^2}$

= $\sqrt{10}$ ≈ 3.16

Length of segment CD = $\sqrt{(0+1)^2+(-2-4)^2}$

= $\sqrt{37}$ ≈ 6.08

Length of CD ≈ 2(length of AB)

But length of horizontal segments are equal.

Therefore, function 'f' is vertically stretched to form 'g'.

g(x) = 2f(x)

Now 'f' is translated by 1 unit right,

g(x) = 2f(x - 1)

Option (2) will be the answer.

8 0

3 years ago

Complete the factorization of 3x2 – 5x + 2. Which two factors can be multiplied together to make this trinomial? (x – 2) A) (x –

adell [148]

Answer:

(x-1) and (3x-2)

Step-by-step explanation:

3x^2– 5x + 2=

3x^2 - 3x-2x+2=

3x(x-1)-2(x-1)=

(x-1)(3x-2)

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4 years ago

Consider the equation 4•e^2.7x = 33

Yanka [14]

Answer:

$\huge x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ \huge \: x \approx 0.782$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

logarithm
PEMDAS

<h3>let's solve:</h3>

$4 {e}^{2.7x} = 33 \\ {e}^{2.7x} = \frac{33}{4} \\ 2.7x = ln( \frac{33}{4} ) \\ x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ x \approx 0.782$

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3 years ago

Find the vertex of h(x)=(x+6)^2

cupoosta [38]

Convert it into the y=a(x-h)+k form and the values of h and k are your vertex.
You can convert by completing the square method.

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4 years ago