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olasank [31]
3 years ago
10

The equation of line v is y = -x + 9. Line w, which is perpendicular to line v, includes the

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

y=x+1

Step-by-step explanation:

In order to find the slope that is perpendicular to a given line, you have to take the fraction form (-1/1), flip it (1/-1), and give it an opposite sign (1/1).  Now since we now know our slope we can draw y=x to find what do we have to add.  Since y=x crosses (2,2), we know we have to add 1 to the equation in order to bring it to (2, 3).

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A spinner numbered 1 through 12 is spun. Find the probability that
anastassius [24]

Answer:

\dfrac{1}{6}

Step-by-step explanation:

Let <em>A</em> be the event of getting an odd number.

<em>P(A)</em> be the probability of getting an odd number.

Total odd numbers here are 6 i.e. \{1,3,5,7,9,11\}

Here, total numbers in the game are 12 i.e \{1,2,3,....,12\}.

Formula for probability of an <em>event E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}

Let <em>B</em> be the event of getting 11.

<em>P(B)</em> be the probability of getting 11.

Total number of possible cases is 1.

P(B) = \dfrac{1}{12}

P(A \cap B) is the probability that we get 11 and an odd number.

Possible number of cases = 1

P(A\cap B) = \dfrac{1}{12}

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}

Hence, P(B/A) = \dfrac{1}{6}

4 0
4 years ago
Read 2 more answers
Help, i just need the answers and no need for explanations.
maria [59]

Answer:

The equation of the quadratic function shown is;

x^2+ 2x -3

Step-by-step explanation:

Here in this question, we need to know the quadratic equation whose graph was shown.

The key to answering this lies in knowing the roots of the equation.

The roots of the equation are the solution to the quadratic equation and can be seen from the graph at the point where the quadratic equation crosses the x-axis.

The graph crosses the x-axis at two points.

These are at the points x = -3 and x = 1

So what we have are;

x + 3 and x -1

Multiplying both will give us the quadratic equation we are looking for.

(x + 3)(x-1) = x(x -1) + 3(x-1)

= x^2 -x + 3x -3 = x^2 + 2x -3

3 0
3 years ago
What is the value of y in this figure ?
Kruka [31]

Answer:

A

Step-by-step explanation:

if you subtract 54 from 180 you would get 126

5 0
4 years ago
Which expression can be simplified to find the inverse of y=2x^2
lianna [129]

Answer:

easy

Step-by-step explanation:

its B

8 0
3 years ago
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Which number is located between 19 and 20 on a number line?
Yuliya22 [10]

Answer:

C. 391

Step-by-step explanation:

8 0
3 years ago
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