Is an angle made of any 2 rays and why?

1 answer:

4 0

An angle is any two rays that share an endpoint. the reason that last part is important is becasue they could be one ray that starts in seatlle and one ray starting over in new york. these would not for an angle. if i confused you let me know and ill try to clarify.

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A line is tangent to the circle x^2+y^2=41, at the point (-4,-5)

VashaNatasha [74]

If the equation of the circle is x^2+ y^2 = 41, we must first understand the parts of the equation.
A general circle's equation is (x-h)^2+(y-k)^2= r^2
(h.k) is the radius of the circle
r is the radius of the circle
Another useful fact to know is that tangent lines touch the circle at one point (4,5)

Since in our original equation there are no h or k values, we can assume that the center of the circle is (0,0).

The formula for slope is Y1-Y2
X1-X2
We can break this down with our two points (center and tangent)
(0,0) and (-4,-5)
(X1,Y1) and (X2,Y2)

therefore, we will put the equation as such
0-(-5)= 5 = 5
0-(-4)= 4  4

this is our slope from the center to the point of tangency.

We know that tangent lines are perpendicular to the radius, which we've already found the slope of. Perpendicular lines are opposite reciprocals of the line they are perpendicular to.

Therefore, we take our slope from center to the tangent, and make it opposite and then take the reciprocal of that slope, which will give us the slope of the tangent line itself. (note: reciprocal means flip the numerator and denominator)
5 = -5 = -4
4 4 5

Now, we have a point on the line, and the line's slope. We can use slope-intercept equation to find the equation of the line.

Slope-int y=mx+b
(x,y) is a point,
m is the slope
b is the y intercept ( the point where x=0, or where its on the y axis)

now we plug things in
(-4,-5) is our point,
-4 is our slope
5

-5=-4(-4)+b After we plug things in, solve for b
5

-5= 3.2+b

-1.8= b or b= 1 4
5

Now we just need to rewrite our equation with all our components.
(-4.-5) = point
-4 = slope
5
1 4 = y-intercept
 5

y=-4 x+ 1 4 This is the equation of the tangent line
 5 5

Hope that helped

7 0

3 years ago

Qfind the product. Write the product in simplest form 1 2/3 x 4 2/5

Elan Coil [88]

1 2/3 = 5/3
4 2/5 = 22/5
5/3•22/5= 110/15
= 22/3

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3 years ago

How do you solve 3 3/4a+3+6=87 in multi step equations

Dovator [93]

If you would like to solve the equation 3 3/4 * a + 3 + 6 = 87, you can do it using the following steps:

3 3/4 * a + 3 + 6 = 87
15/4 * a = 87 - 3 - 6
15/4 * a = 78 /*4/15
a = 78 * 4/15
a = 104/5
a = 20.8

The correct result is 20.8.

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3 years ago

An airplane cruising at 20000 feet drops 2500 feet in alitude. What is the airplanes airplanes new altitude ?

svetoff [14.1K]

the airplane new altitude is 17500

20000-2500=17500

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3 years ago

The notebook shows the money Reina eamed and spent in the month of April

Elan Coil [88]

Answer:

negative

please keeps as Brainly list

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