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3 years ago

Please help i will give brainliest to the right answer.

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

Only these two -3+-4 and -3+(-4) are equal to -3-4

Step-by-step explanation:

Hope this helps!

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The straight line P has the equation y= 2x-5

Sunny_sXe [5.5K]

Answer:

y=−x/2+2.

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=2x−5.

The slope of the perpendicular line is negative inverse: m=−12.

So, the equation of the perpendicular line is y=−x/2+a.

To find a, we use the fact that the line should pass through the given point: 3=(−12)⋅(−2)+a.

Thus, a=2.

Therefore, the equation of the line is y=−x/2+2.

4 0

3 years ago

use green's theorem to evaluate the line integral along the given positively oriented curve. c 9y3 dx − 9x3 dy, c is the circle

Rina8888 [55]

The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.

<h3>What is green's theorem?</h3>

The theorem states that,

$\int_CPdx+Qdy = \int\int_D(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y})dx dy$

Where C is the curve.

<h3>Calculation:</h3>

The given line integral is

$\int_C9y^3dx-9x^3dy$

Where curve C is a circle x² + y² = 4;

Applying green's theorem,

P = 9y³; Q = -9x³

Then,

$\frac{\partial P}{\partial y} = \frac{\partial 9y^3}{\partial y} = 27y^2$

$\frac{\partial Q}{\partial x} = \frac{\partial -9x^3}{\partial x} = 27x^2$

$\int_C9y^3dx-9x^3dy = \int\int_D(-27x^2 - 27y^2)dx dy$

⇒ $-27\int\int_D(x^2 + y^2)dx dy$

Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as

0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π

Then the integral becomes

$-27\int\limits^{2\pi}_0\int\limits^2_0r^2. r dr d\theta$

⇒ $-27\int\limits^{2\pi}_0\int\limits^2_0 r^3dr d\theta$

⇒ $-27\int\limits^{2\pi}_0 (r^4/4)|_0^2 d\theta$

⇒ $-27\int\limits^{2\pi}_0 (16/4) d\theta$

⇒ $-108\int\limits^{2\pi}_0 d\theta$

⇒ $-108[2\pi - 0]$

⇒ -216π

Therefore, the required value is -216π.

Learn more about green's theorem here:

brainly.com/question/23265902

#SPJ4

3 0

1 year ago

You need to be at least 39.37 inches tall (about a meter) to ride on a bumper car. Diego’s cousin is 35.75 inches tall. How many

blsea [12.9K]

39.37-35.75=3.62

3.62 inches

6 0

2 years ago

Evaluate the expression.<br><br> ║4/13║

NNADVOKAT [17]

Answer:

4/13

Step-by-step explanation:

In absolute value, it is showing distance. Whenever something is in absolute value, it is turned positive.

here, Inside the absolute value brackets, we have positive 4/13. Positive 4/13 undergoes no such change, because there are no other terms, and no negatives.

absolute value of 4/13 is 4/13

7 0

3 years ago

Read 2 more answers

What is the inverse function of y=x^2-7

Vikentia [17]

With inverse functions you just swap 'x' and 'y' and solve for 'y'.

$\sf y=x^2-7$

Swap 'x' and 'y':

$\sf x=y^2-7$

Add 7 to both sides:

$\sf x+7=y^2$

Take the square root of both sides:

$\sf y=\boxed{\sf\pm\sqrt{x+7}}$

3 0

2 years ago