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2 years ago

9

Which of the following angles can be added together to create 132°? Explain your answer using words.

1 answer:

RoseWind [281]2 years ago

8 0

Answer:

the addition of 25+35+52+20=132 is the answer

Step-by-step explanation:

please mark me as brainlest

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Susan has 3 pairs of shorts, 5 shirts, and 2 pairs of shoes to take to camp. If she wears a pair of shorts, a shirt and pair of

hjlf

Answer:

30

Step-by-step explanation:

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3 years ago

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

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

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3 years ago

Im studying for my ged can you help with this ?

jarptica [38.1K]

What do you need help with on it?

6 0

3 years ago

Use the discriminant to describe the roots of each equation. Then select the best description. 3x2 - 2 + 7x = 0

forsale [732]

Hello :
the the discriminant : 3x² + 7x - 2 = 0 is : (7)²-4(3)(-2) =49+24=73
two real roots

3 0

3 years ago

Sophie was asked to plot the point (8,5). She started at the origin, moved 8 units up and 5 units to the

ycow [4]

Answer:

she plotted (8,5)

Step-by-step explanation:

the formula of that is (x,y). you would need to go 8 to the right and 5 units up. sophie mixed up the values.

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2 years ago

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