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3 years ago

Identify the common external tangent. line r line s segment AB

Mathematics

2 answers:

Oxana [17]3 years ago

8 0

The external tangent is line s

spin [16.1K]3 years ago

8 0

Answer:

line s.

Step-by-step explanation:

First let's see what a tangent line is.

A line that touches a circle at only one point is called the tangent line of the circle.

Here we have to find the common external tangent.

Which means the line has to touch the two circle at only point on each circle.

If you look at the given figure. The line "s" touches the big circle at the point J and the smaller circle at the point K.

Therefore, the external tangent line is "line "s"

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The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the

madreJ [45]

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by a, b, and c.

The sum of the three is 103. Thus, we can write that:

$a+b+c=103$

The second number is five less than the first. So:

$b=a-5$

And the third number is four times the first. So:

$c=4a$

Substitute:

$a+(a-5)+(4a)=103$

Solve for a. Combine like terms:

$6a-5=103$

Add five to both sides:

$6a=108$

And divide both sides by six. Therefore:

$a=18$

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20-%205" id="TexFormula1" title="f(x) = x {}^{2} - 5

faust18 [17]

Answer:

The vertex is (0, -5) and the axis of symmetry is x = 0.

Step-by-step explanation:

In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.

x = -b/2a

x = 0/2(1)

x = 0/2

x = 0

So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.

f(x) = x^2 - 5

f(x) = 0^2 - 5

f(x) = 0 -5

f(x) = -5

This gives us a vertex of (0,-5)

7 0

2 years ago

How to find the y-intercept from a table AND from a graph.

ExtremeBDS [4]

Answer:

When Finding the Y-Intercept from a Graph and Table, you are searching for the point of intersection between the equation and the y-axis. When finding the Y-Intercept from a Graph, you should find where the line from the equation crosses the y-axis. The point where the equation crosses the y-axis is the Y-Intercept.

Step-by-step explanation:

6 0

2 years ago

In the diagram, which pair of angles are alternate interior angles?

mars1129 [50]

Answer:

2+8, 3+5

Step-by-step explanation:

7 0

2 years ago

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