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Alexeev081 [22]
2 years ago
9

Destiny has $ 42 left on her checking account. If she writes a check for $ 59, what will Destiny's balance be?

Mathematics
2 answers:
lakkis [162]2 years ago
4 0

Answer:

$-17

Step-by-step explanation:

jonny [76]2 years ago
4 0

Answer:

im pretty sure the other person got it correct

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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
Ayo where t f is mario judah
nika2105 [10]

Answer:

Hes somewhere in the world playing Minecraft

4 0
2 years ago
Read 2 more answers
Can somebody please help me with these? You don’t have to explain it I just need answers. Thank you so much :)
Elis [28]

Answer:

Step-by-step explanation:

23. 1/x^7

24.-1/a^2

26. x^12

27. x^3y^15

29. 1/(4c^2d^6)

30. x^6y^3

8 0
3 years ago
Adam runs 13 miles in 143 minutes. How many minutes does it take him to run one mile? Adam runs at a rate of minutes per mile.
Aleksandr-060686 [28]

Answer:

Adam runs at a rate of 11 minutes per mile.

Step-by-step explanation:

Take 143 minutes and divide by 13 miles and you will get the answer of 11 minutes.

PLEASE MARK ME BRAINEIST.

3 0
3 years ago
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Help pls also show work if needed!!
kifflom [539]

Answer:

2a. No False

2b. Yes True

2c. Yes True

2d. No False

Step-by-step explanation:

4 0
3 years ago
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