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3 years ago

M(7,3) is the midpoint of RS.The coordinates of point S are (8,4).What are the coordinates of R?

Mathematics

2 answers:

9966 [12]3 years ago

4 0

THE ANSWER FOR UR QUESTION IS
(6,2)

lbvjy [14]3 years ago

3 0

It would be (6,2) because the difference between (7,3) and (8,4) is one for both x and y. Therefore, you minus one from both x and y, which is (6,2)

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You are dealt two cards successfuly without replacement from a shuffled deck of 52 playing card. Find the probability that first

katen-ka-za [31]

The simplified expression is $(\frac{4}{663})$

Step-by-step explanation:

Here, the total number of cards in a given deck = 52

let E : Event of drawing a first card which is King

Total number of kings in the given deck = 4

So, $P(E) = \frac{\textrm{The total number of king}}{\textrm{The total number of cards}}$ = $\frac{4}{52} = (\frac{1}{13} )$

Now, as the picked card is NOT REPLACED,

So, now the total number of cards = 52 - 1 = 51

Total number of queen in the deck is same as before = 13

let K : Event of drawing a second card which is queen

So, $P(K) = \frac{\textrm{The total number of queen}}{\textrm{The total number of cards}}$ = $(\frac{4}{51} )$

Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) = $(\frac{1}{13}) \times(\frac{4}{51}) = (\frac{4}{663} )$

Hence, the simplified expression is $(\frac{4}{663})$

6 0

3 years ago

Please solve (-3×+15)+(-3×+2)

koban [17]

(-3x + 15) + (-3x + 2)
Simplify by combining like terms.
-6x + 17

-6x + 17

3 0

3 years ago

Read 2 more answers

Determine the 15th term of the sequence -2, 4,...

Thepotemich [5.8K]

Mot enough information given.
The rule might be

-- add 6
or
-- double and add 8
or
-- square
or
-- multiply by -2 .

We need one more term to determine what the rule is for calculating the next term from the previous one.

The

7 0

2 years ago

Read 2 more answers

Divid 15 into two parts such that the sum of their reciprocal is 3/10

Klio2033 [76]

From the information obtained from the question, two equations can be created:

Let x and z be the two numbers (parts)

$\frac{1}{z} + \frac{1}{x} = \frac{3}{10}$ . . . . (1)

$z + x = 15$ . . . . (2)

By transposing (2), make 'z' the subject of the equation
$z = 15 - x$ . . . . (3)

By substituting (3) into equation (1) to find a value for x
$\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}$

$\frac{15}{( 15 - x ) ( x )} = \frac{3}{10}$

$3 ( - x^{2} + 15 x ) = 150$

$3 x^{2} - 45x + 150 = 0$

⇒ $( x - 5 ) ( x - 10 ) = 0$

∴ either $( x - 5) = 0$ OR $( x - 10 ) = 0$

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

z + (5) = 15 OR z + (10) = 15

⇒ z = 10 OR z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.

5 0

3 years ago

What is the common ratio of the geometric sequence; *

Tanya [424]

Answer:

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = $\frac{a_{2} }{a_{1} }$ = $\frac{\frac{10}{3} }{10}$ = $\frac{10}{3}$ × $\frac{1}{10}$ = $\frac{1}{3}$ → C