The table below represents different radios of a teaspoon of sugar to ounces of<br> Ice tea

A line has the points (3,7) (4,9) (5,11) (6,13). If the slope is divided by 2, what is the new slope?

lorasvet [3.4K]

Answer:

The new slope is 1

Step-by-step explanation:

The slope of any two points can be found by:

$slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Finding slope of (3,7) (4,9)

$slope=\frac{9-7}{4-3}\\slope=\frac{2}{1}\\slope=2$

Finding slope of (4,9) (5,11)

$slope=\frac{11-9}{5-4}\\slope=\frac{2}{1}\\slope=2$

So, the slope of the line is 2

Now if slope is divided by 2, new slope will be:

$slope = \frac{2}{2}\\slope=1$

So, The new slope is 1

Keywords: slope between points of a line

Learn more about slope between points of a line at:

#learnwithBrainly

4 0

3 years ago

Solve the following system of equations<br>2x – 3y = 6<br>4x+2y=4

FinnZ [79.3K]

Answer:

$\boxed{(\frac{3}{2} ,-1)}$

Step-by-step explanation:

$\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.$

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

$2x-3y=6 \rightarrow -4x+6y=-12$

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

$\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.$

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

$8y=-8$

Divide both sides by 8.

$y=-1$

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

$4x +2(-1)=4$

Simplify.

$4x -2=4$

Add 2 to both sides.

$4x=6$

Divide both sides by 4.

$x=\frac{6}{4} \rightarrow\frac{3}{2}$

The final answer is $x=\frac{3}{2} ,~y=-1$ .

$(\frac{3}{2} ,-1)$

5 0

3 years ago

Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)

otez555 [7]

Answer:

2n + 2

Step-by-step explanation:

The formula for nth term of an arithmetic progression is $an = d*n+a1-d$

In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).

$an=d*n+a1-d\\an=2n+4-2\\an=2n+2$

5 0

3 years ago

Will averages 18 points a game and is the all time leader on the team with 483 points. Tom averages 21 points a game is is curre

Katen [24]

7 games.
18×7=126
483+126=609
21×7=147
462+147=609
After 7 games each will have 609 points.

7 0

3 years ago

Which of the following sets is NOT dlosed under addition?

sergij07 [2.7K]

Answer:

Odd numbers.

Step-by-step explanation:

Closed under addition means you will able to take any two numbers from whatever set is mentioned and add them to get a number in that same set.

(If I say counting numbers, I'm still talking about the natural numbers.)

So let's look at the natural numbers {1,2,3,4,5,6,...}.

1+1=2

1+2=3

1+3=4

...

6+19=25

Let a and b be counting numbers.

a+b is still going to be a counting number.

You will always get a counting number when adding two counting numbers. So the counting numbers (also known as the natural numbers) is closed under addition.

Let's skip down to odd numbers because the other sets are similar to the first.

Let's add a pair of odd numbers.

3+5=8

8 is not odd so the odd numbers are not closed under addition because we will not always get an odd number. In fact, you will never get a odd number, but the thing is you just need one example to show it is not closed.

(2k+1)+(2a+1)

2(k+a)+2

2(k+a+1) is even so adding two odds will always give you an even.

4 0

3 years ago

Read 2 more answers

The table below represents different radios of a teaspoon of sugar to ounces of Ice tea