write in slope intercept form an equation of the line that passes through the points (-4,2) and (6,-3)

Answers

Answer 1
Answer:

Answer:

 y=-(1)/(2) x

Step-by-step explanation:

First, we would find the slope from(-4,2) to (6,-3). To find that it we would do (y_(1)-y_(2)  )/(x_(1)-x_(2)  ). It could also be the other way around depending on if you want to avoid negatives. (-3-2)/(6-(-4)) is (-5)/(10) or -(1)/(2). So, the equation so far is y=-(1)/(2) x+b. Then, we insert one of the y and x values in points (-4,2) or (6,-3) depending on what you're feeling. I chose (-4,2).

So, the equation now is 2=-(1)/(2)(-4)+b . Solving this, we get b=0. So the answer is y=-(1)/(2)x


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Look at points C and D on the graph:What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.


3.46 units
8.49 units
12.00 units
72.00 units

Answers

Answer: 8.9 units


Step-by-step explanation:

From the given graph we can see the coordinates of C=(0,2)

The coordinates of D=(6,-4)

By using distance formula, we will find the distance between points C and D as:

CD=√((x_2-x_1)^2+(y_2-y_1)2)

=√((6-0)^2+(-4-2)^2)\n=√(6^2+(-6)^2)\n=√(36+36)\n=√(72)=6√(2)\n=6*1.4142=8.4852\approx8.9\text{ units}

√((x_2-x_1)^2+(y_2-y_1)^2)\n\n√((0-6)^2+(2-(-4))^2)\n\n√((-6)^2+6^2)\n\n√(36+36)\n\n√(72)\n\n\boxed{8.49}

When 47 is added to a number the result is 37 less than 7 times the number

Answers

47 is added to a number ⇒ 47 + x
37 less than 7 times the number ⇒ 7x - 37

47 + x = 7x - 37

x - 7x = -37 - 47
- 6x = -84
x = -84 / -6
x = 14 

The value of the unknown number is 14.

47 + x = 7x - 37
47 + 14 = 7(14) - 37
61 = 98 - 37
61 = 61

Write in expanded form 24.76?

Answers

twenty four wholes and seventy six hundredths

Quick please! Complete the equation for the linear function whose graph contains the points (2, 5) and (3, 0).y −___ = ___ (x − 2)

Answers

Simply set the blanks to new variables a and b and substitute in for x and y.

5-a=b(0)

5-a=0

a=5

In the second equation:

0-a=b(3-2)

-5=b

So b=-5.

Thus, the line is y-5=-5(x-2).

Petra is asked to color 6/6 of her grid. she must use 3 colors; blue read and pink. there must be more blue sections than red sections or pink sections. What are the different way Petra can color the sections of her grid and follow the rules

Answers

Answer;

1. 3 blues, 2 red, 1 pink.

2.3 blues, 2 pink, 1 red.

3. 4 blues, 1 red, 1 pink

The different ways in which Petra can color the sections of her grid and follow the rules are;

1. 3 blues, 2 red, 1 pink.

2.3 blues, 2 pink, 1 red.

3. 4 blues, 1 red, 1 pink

All these three ways follows the rules that; there must be three colors an also Blue sections are more than red sections or pink sections.

3 blue 2 red and 1 pink
4 blue 1 red 1 pink

Question of the day:Math question!!!!!

If one day in heaven = 1,000 yrs on earth, and gabes lips are on the horn and it takes him 3 seconds to blow, how many days do we have left on earth?

Answers

Answer:

  12 days 16 hours 22 minutes 7.5 seconds

Step-by-step explanation:

You are interested in the proportion ...

  earth time / heaven time = (1000 years)/(1 day) = (x days)/(3 seconds)

Multiplying by 3 seconds, we find ...

  x days = (3 seconds)(1000 years)/(1 day)

If we convert 1000 years to days, then the formula will give us "x days" as a number of seconds.

1000 years is a long enough time period that all of the leap-year rules come into play. So, we will use the average number of days in a year as 365.2425. Then 1000 years is 365,242.5 days, and we get ...

  x days = (3 seconds)(354,242.5) = 1,095,727.5 seconds

There are 3600 seconds in 1 hour, so this is ...

  x days = (1095727.5 s)/(3600 s/h) = 304.36875 h

The fraction of an hour converts to 22 minutes 7.5 seconds. The 304 hours converts to 12 days 16 hours.

When Gabe starts blowing his horn, we have 12 days 16 hours 22 minutes 7.5 seconds left on Earth.

_____

The number of minutes and seconds will vary, depending on what you consider to be the number of days in a year.