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2 years ago

A line passes through (10,5) and (13,-4). Write the equation of the line in standard form.

Mathematics

1 answer:

nexus9112 [7]2 years ago

4 0

Using two point form
y-5/-4-5=x-10/13-10
rearrange to get 3x+y-35=0

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I WILL GIVE AN EXTRA 50 POINTS TO WHOEVER GETS THESE 2 QUESTIONS RIGHT

nikdorinn [45]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1:

A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.

Problem 2:

We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.

4 0

3 years ago

Tevon,leah,and beth are playing a computer game. Trevon scored -8. Beth's score was 3/4 of trever's score, and leah's score was

faust18 [17]

Answer:

Trevon scored -8.

Beth's score was 3/4 of trever's score = -8 *3/4 = -6

leah's score was 1/4 of beth's score. = -6 *1/4 = -1.5

Leah's score was -1.5

8 0

3 years ago

Ely has a bag of 42 strawberries. She eats 16 strawberries. How many cherries does she have left. The next day she goes to the s

juin [17]

The number of cherries left is 26

Ely has 54 strawberries now

Solution:

Given that, Ely has a bag of 42 strawberries. She eats 16 strawberries

To find: Number of cherries left

From given,

Total number of strawberries = 42

Number of strawberries eaten = 16

Therefore,

Number of cherries left = Total number of strawberries - Number of strawberries eaten

Number of cherries left = 42 - 16 = 26

Thus, number of cherries left is 26

The next day she goes to the store and buys 28 more cherries

Number of cherries bought = 28

Therefore,

Total number of cherries she has now = number of cherries left + Number of cherries bought

Total number of cherries she has now = 26 + 28 = 54

Thus she has 54 strawberries now

8 0

2 years ago

a house was purchased for $150,000 the value decreased by 16% how much is the value of the house now

TiliK225 [7]

Answer:

$126,000

Step-by-step explanation:

16% of 150,000 is 24,000

150,000-24,000=126,000

8 0

3 years ago

Will mark most brainlest if correct

lutik1710 [3]

Answer: each guest gets 4.19 cm²

Step-by-step explanation:

The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle

π is a constant whose value is 3.14

r represents the radius of the circle.

From the diagram,

r = 4cm

Therefore, area of the cake that he cut for himself is

120/360 × 3.14 × 4²

= 16.75 cm²

The total area of the cake is

3.14 × 4² = 50.24 cm²

Therefore, the rest of the cake is

50.24 - 16.75 = 33.49 cm²

The amount that each guest gets would be

33.49/8 = 4.19 cm²

8 0

3 years ago