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Bad White [126]
3 years ago
6

Write an expression using a positive and a negative integer that result last in 0

Mathematics
2 answers:
klasskru [66]3 years ago
8 0
The Answer is
-1+1=0
iren [92.7K]3 years ago
7 0
Your answer would be:

-2+2=0
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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
Round 74952 to the nearest 100
sweet-ann [11.9K]
Your answer is 75052
7 0
2 years ago
PLEASE HELPPP!! A box contains only black and white chips There are 8 black chips and 6 white chips How many white chips must be
Law Incorporation [45]
Lets take away 2 white chips...

8 black and 4 white...total of 12 chips
P(black) = 8/12 = 2/3

remove 2 white chips <==
3 0
3 years ago
Convert 86 to a z-score
Semmy [17]

Answer:

Step-by-step explanation:--0.9

5 0
2 years ago
What is the discriminante of 9x^2+10x
Leni [432]
The discriminant of y=ax^2+bx+c is b^2-4ac

given
9x^2+10x+0
a=9
b=10
c=0

discriminant=10^2-4(9)(0)=100-0=100

the discriminant is 100
6 0
3 years ago
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