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d1i1m1o1n [39]
3 years ago
6

Find a coterminal angle to -180 degrees.

Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer:

540 degrees

Step-by-step explanation:

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The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
timofeeve [1]

Given:

The equation of a circle is

x^2+y^2=169

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

m_1=\dfrac{5-0}{12-0}

m_1=\dfrac{5}{12}

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

m\times m_1=-1

m\times \dfrac{5}{12}=-1

m=-\dfrac{12}{5}

Therefore, the gradient or slope of the tangent line l is -\dfrac{12}{5} .

6 0
2 years ago
In the first year if ownership, a new car lose 20% of its value. If a car lost $4,200 value in the first year, how much did the
sesenic [268]

Answer:

Step-by-step explanation:

4 0
3 years ago
Measurements of regular hexagon
TEA [102]
The regular hexagon has both reflection symmetry and rotation symmetry.

Reflection symmetry is present when a figure has one or more lines of symmetry. A regular hexagon has 6 lines of symmetry. It has a 6-fold rotation axis.

http://prntscr.com/96ow2n

Rotation symmetry is present when a figure can be rotated (less than 360°) and still look the same as before it was rotated. The center of rotation is a point a figure is rotated around such that the rotation symmetry holds. A regular hexagon can be rotated 6 times at an angle of 60°

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5 0
3 years ago
Simplify the following expression:<br> 9^−53 ⋅ 9^37<br><br> Please also explain your answer. Thanks!
Alexus [3.1K]

Answer: 9^-16

Step-by-step explanation:

a^b*a^c= a^b+c

8 0
3 years ago
Homework help, no need to explain answer
Ainat [17]

Answer:

Square each side

Subtract 1  from each side

Divide by 3

Step-by-step explanation:

sqrt(3x+1) = 4

Square each side

(sqrt(3x+1))^2 = 4^2

3x+1 = 16

Subtract 1  from each side

3x+1-1 = 16-1

3x= 15

Divide by 3

3x/3 = 15/3

x = 5

8 0
3 years ago
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