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2 years ago

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

Mathematics

2 answers:

Oxana [17]2 years ago

8 0

The external tangent is line s

spin [16.1K]2 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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Part A- Create a fourth degree polynomial in standard form. How do you know it is in standard form?

Alexeev081 [22]

Answer:

(a) $2x^4-9x^3+x^2+x-5$

Step-by-step explanation:

(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.

A polynomial is said to be in standard form when it is arranged in descending order/powers of x.

An example of a fourth degree polynomial is: $2x^4-9x^3+x^2+x-5$

We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.

(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients

change. This is illustrated by the two examples below:

$(2x^5-3x^2+x)+(3x^5-5x^2)\\=2x^5-3x^2+x+3x^5-5x^2\\=5x^5-8x^2+x\\$Similarly\\(2x^5-3x^2+x)-(3x^5-5x^2)\\=2x^5-3x^2+x-3x^5+5x^2\\=-x^5+2x^2+x$

The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.

7 0

2 years ago

First Identify the Angle relationship, then solve for x.

aleksley [76]

Answer:

Corresponding Angles Theorem

x = -5

Step-by-step explanation:

Since they are corresponding angles, they are equal to each other.

x + 105 = 100

x = -5

3 0

2 years ago

#20

yKpoI14uk [10]

0.48 miles

Step-by-step explanation:

Step 1

It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.

Step 2

Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]

6 0

2 years ago

Please help. I don't understand anything.

alina1380 [7]

Answer:

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

7 0

2 years ago

Read 2 more answers

A radio station is giving away T-shirts. the sizes are s, m, l, xl. the colors are red yellow and blue. how many different T-shi

sp2606 [1]

I think a four choices

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3 years ago