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3 years ago

Given: Circle A externally tangent to Circle B.

Mathematics

2 answers:

Zolol [24]3 years ago

7 0

<h2>Answer:</h2>

B. 3

<h2>Step-by-step explanation:</h2>

A tangent is a line that passes through exactly one point on a circle. For any point on a circle, the radius and tangent line through that point are always perpendicular to each other making a right angle. If two triangles touch each other externally, then there will be 3 lines making right angle with radius of the circles at the point of intersection of circle and tangents. These three tangent lines are shown below. They are the black, blue and green ones.

emmasim [6.3K]3 years ago

5 0

Answer:

B. 3

Step-by-step explanation:

We have been given an image two circles such as circle A externally tangent to circle B. We are asked to find the number of possible common tangents to circles A and B.

We know that tangent of a circle is a line that touches circle exactly at one place.

We can see both triangles touch each other externally. We know that maximum 3 common tangents can be drawn two two circles, when they touch each other externally.

Therefore, the answer of our given problem is 3 and option B is the correct choice.

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An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is

Norma-Jean [14]

Answer:

$x = 0$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,0)$

$(x_2,y_2) = (-3,0)$

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

$(x,y) = 0.5(x_1 + x_2, y_1 + y_2)$

$(x,y) = 0.5(3-3, 0+ 0)$

$(x,y) = 0.5(0, 0)$

Open bracket

$(x,y) = (0.5*0, 0.5*0)$

$(x,y) = (0, 0)$

Next, determine the slope of the given endpoints.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{0 - 0}{-3- 3}$

$m = \frac{0}{-6}$

$m = 0$

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

$m_2 = -\frac{1}{m_1}$

In this case:

$m = m_1 = 0$

So:

$m_2 = -\frac{1}{0}$

$m_2 = unde\ fined$

Since the slope is $unde\ fined$ , the equation is:

$x = a$

Where:

$(x,y) = (a,b)$

Recall that:

$(x,y) = (0, 0)$

So:

$a = 0$

Hence, the equation is:

$x = 0$

5 0

3 years ago

What's 9 + 10-4 + 78

Zarrin [17]

Answer:

Step-by-step explanation:

78+9+(10-4)=

78+9+6=

3 0

3 years ago

Read 2 more answers

Each student in your class must do 14 homework problems. There are 23 students in the class. How many problems will your teacher

Ganezh [65]

Answer: 322

Step-by-step explanation:

23 students × 14 homework

=322 problems

The teacher will have to grade 322 problems

4 0

3 years ago

Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.