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2 years ago

9

Let X, Y, and Z be points on a circle. Let line XY and the tangent to the circle at Z intersect at W. If WX = 4, WZ = 8, and WY

is perpendicular to WZ, then find YZ.
Please no random answers...

1 answer:

SVETLANKA909090 [29]2 years ago

4 0

Check the picture below.

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Enter the indicated element.

Ymorist [56]

$a_{1,3} = 9$

Step-by-step explanation:

The elements of matrices are represented in the form

$a_{r,c}$

Here r is the row number and c is the column number.

Given matrix is:

$A = \left[\begin{array}{ccc}3&6&9\\2&4&8\end{array}\right]$

The elements of matrix will be represented by a_{r,c}

We have to find $a_{1,3}$

Which means that the first row and third column.

The first row is: 3 6 9 and the element in third column is: 9

So,

$a_{1,3} = 9$

Keywords: Matrices, Elements

Learn more about matrices at:

#LearnwithBrainly

6 0

3 years ago

A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. Find the probability of a (a) royal flush (ten, jack,

zysi [14]

Answer:

a) 0.000001539

b) 0.00001385

c) 0.0002401

d) 0.001441

e) 0.001966

Step-by-step explanation:

Since there are 52 deck of cards, and the hand of the poker is 5 set, then the total number of hands achievable would be

T = 52! / 5!(52 - 5)!

T = 52! / 5! 47 !

T = 2598560 possibilities.

a) There are 4 ways of getting a royal flush. So the probability of getting a royal flush is

4 / 2598560 =

0.000001539

b) There are 9 hands from the 5 card hands, and also, there are 4 possible suits. So then, the probability is

9 * 4 / 2598560 =

36 / 2598560 =

0.00001385

c) There are 13 possible ways to get a four of a kind, since there are 5 cards with the poker, the remaining would be taken from the 48 remaining cards, thus

13 * 48 / 2598560 =

624 / 2598560 =

0.0002401

d) 3 of a kind in conjunction with a pair is needed to form a full house. This 3 of a kind can be gotten from any 4 suits. Then again, the pair has two cards with the same face value. So,

4! / 2! (4 - 2)! =

4! / 2! 2! = 6

That means, there are 6 possible ways to get our needed suits. Then, the probability of getting a full house is

13 * 4 * 12 * 6 / 2598560 =

3744 / 2598560 =

0.001441

e) To get a flush, all the 5 cards in the hand needs to have the same suit. Now, there are 13 different types of cards with only 5 cards being in the hand, thus

13! / 5! (13 - 5)! =

13! / 5! 8! = 1287

Now, recall that the question specifically asked us not to include any straight. There are 10 straights that can be gotten, and thus, we subtract it.

1287 - 10 = 1277

Since there are 4 suits, the probability of getting a flush is

1277 * 4 / 2598560 =

5108 / 2598560 = 0.001966

5 0

3 years ago

16x^2+?x+36 perfect square trinomial

Hunter-Best [27]

Answer:

16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

(a +b)² = a² +2ab +b²

We want to match this form.

__

<h3>comparing terms</h3>

Comparing the known terms, we see ...

16x² = a² ⇒ a = 4x

36 = b² ⇒ b = 6

<h3>filling in the missing term</h3>

The missing term is the linear term:

2ab = 2(4x)(6) = 48x

? = 48

4 0

2 years ago

Linear inequalities<br> What is the solution to:<br> -1/3 a + 4 ≤ 0

kati45 [8]

Step-by-step explanation:

-1/3 a + 4 ≤ 0

3*(-1/3a) + 4*3 ≤ 0*3

-a + 12 ≤ 0

12 ≤ a

12 ⩾a

a⩾12

8 0

2 years ago

Write an equation of the perpendicular bisector of the segment with endpoints G 9,8       and H 3,2      .

Norma-Jean [14]

Answer:

y = -x + 11

Step-by-step explanation:

The equation of a straight line is is given by:

y = mx + b; where m is the slope and b is the y intercept

The equation of the line joining G(9, 8) and H(3, 2) is given as:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-8=\frac{2-8}{3-9}(x-9)\\\\y-8=x-9\\\\y=x-1$

The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).

Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:

x = (9 + 3)/2 = 6

y = (8 + 2)/2 = 5

The midpoint = (6, 5)

Two lines are perpendicular if the product of their slopes is -1.

The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.

This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:

$y-y_1=m(x-x_1)\\\\y-5=-1(x-6)\\\\y-5=-x+6\\\\y=-x+11$

The equation of the perpendicular bisector is y = -x + 11

8 0

3 years ago