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valina [46]
2 years ago
13

What is the equation of a line parallel to the line that passes through the

Mathematics
1 answer:
nekit [7.7K]2 years ago
3 0

Answer:

We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .

Step-by-step explanation:

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Cual es la derivada de ()=√x sin
fgiga [73]

Answer:

f(x) =\sqrt{x} sin (x)

And on this case we can use the product rule for a derivate given by:

\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)

Where f(x) =\sqrt{x} and g(x) =sin (x)

And replacing we have this:

f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)

Step-by-step explanation:

We assume that the function of interest is:

f(x) =\sqrt{x} sin (x)

And on this case we can use the product rule for a derivate given by:

\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)

Where f(x) =\sqrt{x} and g(x) =sin (x)

And replacing we have this:

f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)

3 0
3 years ago
a bag contains 5 grape tootsie pops and 8 chocolate tootsie pops. if juan pulls a chocolate tootsie pop out of the bag and eats
kipiarov [429]

Answer:

= 5 / 12

Step-by-step explanation:

Probability is an outcome of chance. It is a measure of outcomes of events.

To solve the probability of picking a Tootsie Pop, we must comfortably know the contents of the bag.

Number of GRAPE Tootsie pops = 5

Number of CHOCOLATE Tootsie pops= 8

Total number of Tootsie pops = The sum of both Tootsie pops

Total number = 5 + 8

= 13.

Let's note that tge question said , Juan pulls a chocolate Tootsie Pop and eats. The implication is it has reduced the total number of Tootsie Pops left in the bag.

Therefore:

The probability that the next pop he pulls out will be grape will be

Probability (Grape) = 5 / (13 -1)

= 5 / 12

The probability that the next Pop he pulls out will be a grape = 5/12

4 0
3 years ago
What multiple of 8 gets an equal multiple of 9
musickatia [10]

Answer:

72

Explanation:

8*9=72

5 0
3 years ago
(a+b)^2*(a-b)<br> please answer me fast ​
kondaur [170]

Answer:

a^3b + 2a^2b^2 + ab^3

Step-by-step explanation:

(a+b)^2

= a^2 + 2ab + b^2

ab(a^2 + 2ab + b^2)

= a^3b + 2a^2b^2 + ab^3

5 0
3 years ago
Solve the system of equations.<br> – 3y + 5x = 26<br> - 2 - 5x = -16
mylen [45]

Answer:

y=-4,\:x=\frac{14}{5}

Step-by-step explanation:

\begin{bmatrix}-3y+5x=26\\ -2-5x=-16\end{bmatrix}

Isolate x for -2-5x=-16:

x=\frac{14}{5}

\mathrm{Substitute\:}x=\frac{14}{5}

\begin{bmatrix}-3y+5\cdot \frac{14}{5}=26\end{bmatrix}

Simplify

\begin{bmatrix}-3y+14=26\end{bmatrix}

Isolate y for -3y+14=26:

y=-4

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

y=-4,\:x=\frac{14}{5}

7 0
3 years ago
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