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scoundrel [369]
2 years ago
10

Use the absolute value formula to express the distance between 9 and -8

Mathematics
2 answers:
Softa [21]2 years ago
7 0
17 is the answer to your question:)
Sonja [21]2 years ago
3 0

Answer:

17

Step-by-step explanation:

| 9- (- 8) | = | 17 | = 17

Basically the absolute value of N1 - N2

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Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]
MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

f(x)=2x+\sin (4x)

Now on differentiating both side with respect to x we get that:

f'(x)=2+4 \cos (4x)

When f'(x)=0

this means that 2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval [0,\pi].

also we know that \cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}

Hence, the x-coordinates where f'(x)=0 for f(x)=2x+\sin(4x) is \dfrac{\pi}{6}.

5 0
3 years ago
The vertices of xyz are x(-3,-6), Y(21,-6), and z(21,4). What is the perimeter of the triangle
xxTIMURxx [149]
Note that this a right-angled triangle with the right angle at Y. 

<span>Use coordinates of the point to find XY and YZ </span>

<span>XY = 21 - (-3) </span>

<span>= 24 </span>

<span>YZ = 4 - (-6) </span>

<span>= 10 </span>

<span>Use Pythagoras theorem to XZ </span>

<span>XZ = sqrt[24^2 + 10^2] </span>

<span>= 26 </span>

<span>Perimeter = 26 + 24 + 10 </span>

<span>= 60</span>
8 0
2 years ago
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Evaluate the expression for the given value of the variable.
blsea [12.9K]
Poiuytrewqasdfghklmn
5 0
2 years ago
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11 times what give you 165
denis23 [38]
165 divided by 11 equals 15
8 0
3 years ago
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What is the value of y in the equation 2(3y + 7 + 5) = 196 − 16? (1 point) Group of answer choices 13 14 26 28
Tema [17]

Answer:

Option c) is correct.

The value of y in the given equation is 26 ie., y=26

Step-by-step explanation:

Given equation is

2(3y+7+5)=196-16

Now to the find the value of y in the above equation.

To find y simplify the above equation

2(3y+7+5)=196-16

2(3y+12)=180

Now apply distributive property

6y+24=180

6y=180-24

=\frac{156}{6}

Therefore y=26

Option c) is correct.

The value of y in the given equation is 26 ie., y=26

3 0
2 years ago
Read 2 more answers
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