All categories

2 years ago

Find the equation of the line passing through (3,4), (-1,-2).

Mathematics

1 answer:

Kryger [21]2 years ago

7 0

Answer:

(y-(-2))/(x-(-1)= (-2-4)/(-1-3)

(y+2)/(x+1)= (-6)/(-4)

(y+2)/(x+1)= (3/2)

Cross multiplying

2y+4= 3x+3

3x-2y-1=0

You might be interested in

Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to fin

Veseljchak [2.6K]

Answer:

f(x) = 25.50x Roberto can buy 7 video games

Step-by-step explanation:

Each game is $25.50 which in math means it has an "x"

So if x=1 then 25.50x says that 1 video game is $25.50

Set up the equation:

200 = 25.50x (divide both sides by 25.50 to isolate the x)

200/25.50 = 7.84

x = 7.84

You can't have 0.84 of a video game, so Roberto can only buy 7 of them.

3 0

3 years ago

Read 2 more answers

Answer choices: (5,6) (5,2) (3,6) (3,2).

Degger [83]

Answer:

(3,6)

Step-by-step explanation:

If the starting point is the dot then we start from there - (4,4) then we go up 2 units at (4,6) then moving one unit to the left our answer is (3,6).

6 0

3 years ago

The temperature of lake water over a period of time is shown in the graph below.

castortr0y [4]

Answer:

Answers are 3 AM ; 10 , 54

Step-by-step explanation:

We are given a graph.

Recording of temperature starts from 9 PM.

So from Graph,

Temperature ate 9 PM = 59°F

Temperature ate 11 PM = 54°F

Temperature ate 1 AM = 51°F

Temperature ate 3 AM = 50°F

Temperature ate 5 AM = 51°F

Temperature ate 7 AM = 54°F

Temperature ate 9 AM = 59°F

So, At 3 AM the water is at its lowest temperature.

and

After 10 hours passed, the temperature of the lake is 54°F.

Therefore, Answers are 3 AM ; 10 , 54

7 0

2 years ago

Read 2 more answers

The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?

kompoz [17]

9514 1404 393

Answer:

Step-by-step explanation:

If 60% are yellow, the other 40% are green. Then the difference between yellow and green is 60% -40% = 20% of the total number of fish. That difference also happens to be half of the number of green fish:

20% = (1/2)(40%)

So, the number of green fish is 2×3 = 6.

_____

If you wanted to, you could write a couple of equations:

y - g = 3

y = 0.60(y +g)

Using the first equation to write an expression for y, we get ...

y = g +3

Using this in the second equation, we have ...

g +3 = 0.6(g +3 +g)

g +3 = 1.2g +1.8 . . . . eliminate parentheses

1.2 = 0.2g . . . . . . . . subtract g+1.8

1.2/0.2 = g = 6 . . . . . divide by 0.2

There are 6 green fish in the aquarium.

6 0

3 years ago

What is 4 & 1/2 ÷ 1/4?

marta [7]

Answer:

Step-by-step explanation:

Convert the mixed number to an improper fraction 9/2÷1/4

Reduce the numbers with the greatest common factor 2

and then multiply the numbers 9×2=18 ✅

5 0

2 years ago

Read 2 more answers