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3 years ago

What is the area of the figure below?

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Answer:what this makes no sense

Step-by-step explanation:

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The big dog weighs d pounds and the puppy weighs half the pounds write an expression to represent the weght of the puppy

Serga [27]

Answer:

Step-by-step explanation:

d + d

8 0

3 years ago

Triangle DAN has coordinates D(-10,4), A(-4,1), and N(-2,5) Using coordinate geometry, prove that triangle DAN is a right triang

inn [45]

Answer:

Step-by-step explanation:

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3 years ago

F(x) = 3x + x3

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

5 0

3 years ago

What is the slope of the line y+4 = 3(x+6)

Akimi4 [234]

Answer:

Step-by-step explanation:

First you gotta take the equation and bring it to the following form:

$y = ax + b$

The slope of the line is the coefficient of x, a.

In other words:

$y + 4 = 3(x + 6) \\ y + 4 = 3x + 18 \\ y = 3x + 18 - 4 \\ y = 3x + 14$

So, as we can see, the number infront of x is 3. That is to say that the slope of this line is equal to 3.

3 0

3 years ago

Which is the graph of y = cos(x) + 3? 1 N 0

adoni [48]

Answer:N

Step-by-step explanation:

4 0

3 years ago