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Lubov Fominskaja [6]
3 years ago
15

Which is the tangent to the circle ?

Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0
The correct answer is Line ST I think I’m not sure
vitfil [10]3 years ago
7 0

Answer:

3rd Option is correct.

Step-by-step explanation:

Given: A circle with Center is O.

          Figure is also Given.

To find: Tangent to the circle.

Tangent is a line which just touches circle at one point and passes from outside of circle.

Option 1).

Segment OP is radius of the circle. It is in interior of the circle.

Thus, This is not Tangent.

Option 2).

line ST is Secant to the circle as it passes through circle and intersect at two points. It is in interior of the circle and also in exterior of circle.

Thus, This is not Tangent.

Option 3).

Line MN is Tangent according to the definition of Tangent.

Thus, This is Tangent.

Option 4).

Segment QR is chord of the circle. It is in interior of the circle.

Thus, This is not Tangent.

Therefore, 3rd Option is correct.

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What is f(3)??????????
AURORKA [14]
<h3><u>Explanation</u></h3>
  • Meaning of f(a)

f(a) means the value of f(x) is ... when x = a. That means if we substitute x = 3, we would get f(3).

f(3) also means the value of f(x) is ... when x = 3.

f(x) can also be defined as y // f(x) = y

  • Find f(3) by graph.

You can find the value of f(x) at specific domain from the graph by looking at x = 3 then look up to where the point or where the graph passes. From the graph, when x = 3 as we look up and the graph passes y-coordinate at 1.

Therefore we can say that when x = 3, y = 1.

<h3><u>Answer</u></h3>

f(3) = 1

8 0
3 years ago
Find the polynomial function
laiz [17]

Answer:

y = 2x³ +x² -3x +6

Step-by-step explanation:

The polynomial correlation function of a graphing calculator can work with the table of function values to give you the equation. (See attached)

_____

If you want to solve this by hand, you can write the equations for the unknown coefficients in the polynomial function, then solve those. First of all, notice that you are given the y-intercept, (0, 6), so you know one of the coefficients already. That leaves a system of 3 equations in 3 unknowns that need to be solved.

___

<em>Writing the equations</em>

... ax³ +bx² +cx +6 = y . . . . the generic linear equation in a, b, c that you're writing

For x = -1:

... -a +b -c +6 = 8

For x = 1

... a + b + c + 6 = 6

For x = 2

... 8a +4b +2c +6 = 20

In augmented matrix terms, this set of linear equations looks like ...

\left[\begin{array}{ccc|c}-1&1&-1&2\\1&1&1&0\\8&4&2&14\end{array}\right]

___

<em>Solving the equations</em>

There are a number of ways to solve these. Again, a graphing calculator often has solution functions, such as reducing a matrix to row-echelon form, that will solve this in a keystroke or two.

If you add the first two equations, you get ...

... 2b = 2 ⇒ b = 1

Substituting that into the first equation allows you to simplify it to ...

... -a -c = 1

Dividing the third equation by 2 (and substituting for b) makes it ...

... 4a +c = 5

Adding these equations gives ...

... 3a = 6 ⇒ a = 2

Then ...

... c = -a -1 = -2 -1 = -3

And our polynomial function is ...

... y = 2x³ +x² -3x +6

7 0
3 years ago
What is the equation of the line that passes through the point (-6,-2)and has a slope of 1/6
balu736 [363]

Answer:

y = 1/6x -1

Step-by-step explanation:

Use point-slope form: y - y₁ = m (x - x₁)

y - (-2) = 1/6 (x - (-6))

y + 2 = 1/6x + 1

y = 1/6x - 1

4 0
3 years ago
Read 2 more answers
How can I do ratios? I’ve been having a lot of trouble with this in my math class, and really need some help.
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If you have a fraction, take one number and put a different number on top or underneath, for example if you have 2 cats and 3 dogs, the ratio from cats to dogs would be 2:3 but if you did 2 cats to the total number of animals, you would add 2 and 3 and get 5, so the ratio would be 2:5.

6 0
3 years ago
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Please Help!!!<br> Determine the range of the following graph:
ELEN [110]

Answer:

[-1, 6)

General Formulas and Concepts:

<u>Algebra I</u>

  • Reading a coordinate plane

<u>Algebra II</u>

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Step-by-step explanation:

According to the graph, our y-values span from -1 to 6. Since -1 is a closed dot, it is inclusive. Since 6 is an open dot, it is exclusive:

Range would then be [-1, 6).

5 0
3 years ago
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