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Advocard [28]
3 years ago
6

Divide.

Mathematics
2 answers:
vovikov84 [41]3 years ago
5 0
Before you can divide anything mixed numbers, you must first put it as an improper fraction so 5 1/4 will change into 21/4 because 5*4+1 is 21 and don’t forget the fraction so it would be 21/4, and -2 1/2 would change into -5/4 because -2*2+1 is -5 and if u add the fraction it would become -5/4. Now, the method I use is leave, change, flip, so I first leave the 21/4 in 21/4/-5/4 and I change the division sign into a multiplication sign, and I flip the -5/4 to -4/5, so your new equation now looks like, 21/4•-4/5. Now we have to multiply. Since we can cross simplify, you can cancel out both fours leaving you with 21/1•-1/5 and when u multiply across you get -21/5. When u simplify it to a mixed number, it should look like -4 1/5 because you see how many times 5 goes into 21 which is 4 times and it leaves u with a remainder of 1 because 21-20 is 1 and when ever u have a remainder, u have to keep a denominator of 5 so your final answer is: -4 1/5
patriot [66]3 years ago
3 0

Answer:

The correct answer is -2 1/10

^-^


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Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form
Alex787 [66]

Answer:

y=-\frac{2}{5}x-\frac{1}{5}

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

  • m is the slope
  • b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

m = -\frac{2}{5}

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-\frac{2}{5}x + b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

  • (-3,1). When x of the line is -3, y of the line must be 1.
  • (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: y=-\frac{2}{5}x + b. b is what we want, the --\frac{2}{5} is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

  • (-3,1). y = mx + b or 1=-\frac{2}{5} * -3 + b, or solving for b: b = 1-(-\frac{2}{5})(-3).b = -\frac{1}{5}.
  • (2,-1). y = mx + b or -1=-\frac{2}{5} * 2 + b, or solving for b: b = 1-(-\frac{2}{5})(2). b = -\frac{1}{5}.

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is y=-\frac{2}{5}x-\frac{1}{5}

8 0
3 years ago
Assume that the mean length of a human pregnancy is 269 days. If​ 95% of all human pregnancies last between 249 and 289 ​days, w
o-na [289]

Answer:93% not sure

Step-by-step explanation:

7 0
2 years ago
4^4 + 1/2 step by step
expeople1 [14]
4^4 + 1/2
= (4×4×4×4) + 1/2
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8 0
3 years ago
A player kicks a soccer ball from a height of 2 feet. The ball reaches A maximum height of 20 feet after traveling 40 feet horiz
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The height is 9.875 feet from which the goalkeeper catches the ball.

The player kicks soccer from a height of 2 feet

x = 0 and y = 2

Maximum height of 20 feet after traveling 40 feet

x = 40, y = 20

So let y = a(x - 40)² + 20  ( the path of parabola)

Since x = 0 , y = 2

So, 2 = a(0 - 40)² + 20

2 = 1600a + 20

-18 = 1600a

a = - 9/800

Thus, y = -9/800(x - 40)² + 20

Since the soccer is caught by the goalkeeper 70 feet from where it was kicked

x = 70

So at this time,

y = -9/800 ( 70 - 40)² + 20

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  = - 81/8 + 20

  = 79/ 8

  = 9.875 feet

Therefore the height at which the goalkeeper catches the ball is 9.875 feet.

To know more about the height refer to the link given below:

brainly.com/question/27030273

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7 0
1 year ago
The values of x and y are directly and one pair of values are given.
Anestetic [448]

Answer:

The relation is y = -1.5x

Step-by-step explanation:

x and y are directly proportional:

This means that the equation is given by:

y = ax

In which a is the multiplier that relates these two variables.

x= -4, y =6

We use this to find a. So

y = ax

6 = -4a

a = -frac{6}{4}

a = -1.5

So

The relation is y = -1.5x

7 0
3 years ago
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