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2 years ago

NAME THE LARGEST ANGLE NAME THE SMALLEST ANGLE

Mathematics

2 answers:

Karolina [17]2 years ago

7 0

Answer:

largest angle is CU and the smallest is RC

Natasha2012 [34]2 years ago

5 0

Answer:

largest: cu smallest: rc

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Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl

Wittaler [7]

Answer:

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

Step-by-step explanation:

The equation of a circle of radius $5$ centered at $(0,0)$ is:

$x^{2} + y^{2} = 5^{2}$ .

$x^{2} + y^{2} = 25$ .

Differentiate implicitly with respect to $x$ to find the slope of tangents to this circle.

$\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]$

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0$ .

Apply the power rule and the chain rule. Treat $y$ as a function of $x$ , $f(x)$ .

$\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0$ .

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0$ .

That is:

$\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0$ .

Solve this equation for $\displaystyle \frac{dy}{dx}$ :

$\displaystyle \frac{dy}{dx} = -\frac{x}{y}$ .

The slope of the tangent to this circle at point $(3, 4)$ will thus equal

$\displaystyle \frac{dy}{dx} = -\frac{3}{4}$ .

Apply the slope-point of a line in a cartesian plane:

$y - y_0 = m(x - x_0)$ , where

$m$ is the gradient of this line, and
$(x_0, y_0)$ are the coordinates of a point on that line.

For the tangent line in this question:

$\displaystyle m = -\frac{3}{4}$ ,
$(x_0, y_0) = (3, 4)$ .

The equation of this tangent line will thus be:

$\displaystyle y - 4 = -\frac{3}{4} (x - 3)$ .

That simplifies to

$\displaystyle y= -\frac{3}{4} x + \frac{25}{4}$ .

3 0

3 years ago

Ax+ay+xa+ya <br> Differentiate

Dmitry_Shevchenko [17]

Answer:

2 a

Step-by-step explanation:

Possible derivation:

d/dx(2 a x + 2 a y)

Differentiate the sum term by term and factor out constants:

= 2 a (d/dx(x)) + d/dx(2 a y)

The derivative of x is 1:

= d/dx(2 a y) + 1 2 a

The derivative of 2 a y is zero:

= 2 a + 0

Simplify the expression:

Answer: 2 a

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3 years ago

What is 11/2 divided by 3/4

madam [21]

Answer:

2 and 14/15

Step-by-step explanation:

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2 years ago

Which of the following correlation coefficients would generate the most benefit in terms of risk reduction for a 2-asset portfol

mart [117]

Answer:

Asset B generate most benefit.

Step-by-step explanation:

Correlation shows the strength of relation between two variables.

Greater the correlation coefficient greater the strength between two variables.

Since here It is given that Correlation Coefficient between risk reduction and Asset B is higher (i.e. 60%) than the Correlation Coefficient between risk reduction and Asset A (i.e. 40%).

Thus, Asset B generate most benefit.

8 0

3 years ago

The number line shows the change in temperature from 7:00 a.M. To 1:00 p.M. Which expression shows how to find the difference be

xz_007 [3.2K]

Answer:

Step-by-step explanation:

The options in the question and the number line are shown in the image attached.

From the options, it is clear that the difference between the temperatures at 7:00 a.M. and 1:00 p.M is;

Temperature at 7:00 a.M - Temperature at 1:00 p.M

We can see from the number line that the temperature at 7:00 a.M = -4

Temperature at 1:00 p.M = 16

difference between the two temperatures = ∣(-4) - 16∣ = 20

4 0

2 years ago