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77julia77 [94]
3 years ago
12

write an equation in standard form for a line that is (a) parallel (b) to the line with an equation of y=3x-5 that passes throug

h the point (8,5)
Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

The parallel line would be y = 3x - 19

Step-by-step explanation:

In order to find the equation of this line, we first have to note that parallel lines have same slopes. Therefore, since the original line has a slope of 3, we know the new line will have a slope of 3. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 5 = 3(x - 8)

y - 5 = 3x - 24

y = 3x - 19

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Roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcom
meriva

Given:

A card is selected randomly from a standard deck of 52 cards.

To find:

The probability of each outcome.

a. a king of heart

b. a queen of spades

c. an ace of flower

d. an ace of diamond​

Solution:

In a standard deck of 52 cards.

Total number of cards = 52

13 cards of each suit (heart, diamond, club, spade).

13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

a. We need to find the probability of getting a king of heart.

Number of king of heart = 1

P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}

P(\text{a king of heart})=\dfrac{1}{52}

b. We need to find the probability of getting a queen of spades.

Number of queen of spades = 1

P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}

P(\text{a queen of spades})=\dfrac{1}{52}

c. We need to find the probability of getting an ace of flower (spades).

Number of ace of flower = 1

P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}

P(\text{an ace of flower})=\dfrac{1}{52}

d. We need to find the probability of getting an ace of diamond​.

Number of ace of diamond​ = 1

P(\text{an ace of diamond​})=\dfrac{\text{Number of ace of diamond​}}{\text{Total cards}}

P(\text{an ace of diamond​})=\dfrac{1}{52}

Therefore, the required probabilities for each parts are:

(a) \dfrac{1}{52}

(b) \dfrac{1}{52}

(c) \dfrac{1}{52}

(d) \dfrac{1}{52}

4 0
3 years ago
Write in equation in point slope form of the line having the given slope that contains the given point
myrzilka [38]

Answer:

y - 1 = 2(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b ) a point on the line

Here m = 2 and (a, b ) = (3, 1 ) , then

y - 1 = 2(x - 3)

6 0
3 years ago
Please help guys! Using the function f(x) = 3x – 5, what would the output be for an input of 4?
Lelechka [254]

Answer:

Output = 7

Step-by-step explanation:

Input value...is the value of x and the output value..is the value of y,

So the question is just saying that what is the value of y when x = 4

; 3(4) - 5

; 12 - 5

; y = 7...therefore the output value = 7

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The sum of 73,404+27,865
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