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Serggg [28]
3 years ago
7

Ind the equation of the tangent line to 9x^2+16y^2=52 through (2, -1)

Mathematics
1 answer:
EastWind [94]3 years ago
6 0
Here are the steps.

In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)

<span>The center is (-9, -4)</span>

Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.

The slope from center to point (2, -1) is 11/3

Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.

The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11

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Answer:

your answer will be 8

Step-by-step explanation:

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2 years ago
I WILL MARK AS BRAINLIEST! Simplify
Nesterboy [21]

a) | -21 -17| = | - 38 | = 38

b) | 39 - 26 | = | 13 | = 13

c) | -17 -79 | = | - 96 | = 96

d) | -9+25 |= | 16 | = 16

e) | -21 -61 |= | - 82 | = 82

f) | 61-74 |= | - 13 | = 13

g) | -31 -79 |= | - 110 | = 110

h) | -12 +55 | =| 43 | = 43

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Solve for m ?( geometry?)
kupik [55]
Answer: m = 16

Remember: the base angles of a trapezoid are congruent.

Form your equation.
4m + 1 = 2m + 33

Solve for m.
4m + 1 = 2m + 33             Subtract 1 from both sides
4m = 2m + 32                  Subtract 2m from both sides
2m = 32                           Divide by 2 to both sides
m = 16                              Answer!

You can also check your work.
4(16) + 1 = 2(16) + 33
64 + 1 = 32 + 33
65 = 65
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