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mina [271]
3 years ago
10

What is the slope of the line that goes through (2,-2) and (-1, 1)?

Mathematics
1 answer:
Olegator [25]3 years ago
6 0

Answer:

m = -1

Step-by-step explanation:

use the slope formula so m = 1- -2 / -1 - 2

m = 1+2/-3, m=3/-3 so m = -1

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16x^7 - 8x^3 / 4x^3
Sunny_sXe [5.5K]

Answer:

4x^4-2

Step-by-step explanation:

\dfrac{16x^7-8x^3}{4x^3}= \\\\\\\dfrac{4x^3(4x^4-2)}{4x^3}= \\\\\\4x^4-2

Hope this helps!

8 0
3 years ago
Read 2 more answers
Please Help!!!!!! I will post a random question for you to get points from too if you give me the right answer!!!!
Tresset [83]

Answer:

The answer is A.

Step-by-step explanation:

We can easily eliminate answers C and D, because their y-intercept is not 4. We do this because according to the graph, where the line intercepts the y-axis is at the point, 4. Looking at the slope equation y=mx+b, where <em>b </em>represents the y-intercept, it is clear to see that when you plug 4 as b into the equation, the equation would be y=mx+4. However, answers C and D do not give us that y-intercept. Therefore, those two are wrong.

Now we're left with A and B. To understand why B is incorrect, we should know that the variable <em>m </em>in the same slope equation, y=mx+b, represents y/x, also commonly known as rise over run. If this is all new to you, no fear. The phrase "rise over run" just is a helpful tip to remind you what <em>y </em>and <em>x</em> are. The "rise", representing the variable <em>y</em>, means that it can travel either up or down, so vertically. And vice versa. The "run", representing the variable <em>x</em>, means that it can travel either left or right, so horizontally.

Now that we've cleared that out, you want to count how many points there are for y, or rise, until you've met a point where you can create a right triangle figure. I counted downwards, going in a negative direction, three spaces, getting to 1. From the x-axis, I started from -4 and counted to (1,0), where it would create a right triangle figure. With these calculations, I put -3/-4, which, after simplifying and canceling the negatives (two negatives equals one positive), I got the answer 3/4.

Going back to the equation, if we plug in all the values to get y=3/4x+4, that is clearly A, and not B.

Hope this helped, although it was a very lengthy explanation! Sorry I was two weeks late. I didn't see this until now.

5 0
3 years ago
What is the sum of 9 7/8 plus 11 2/8?
slamgirl [31]

Answer:

169/8

Step-by-step explanation:

9 7/8 = 79 / 8

11 2/8 = 90 / 8

90/8 + 79/8

The denominator (8) stays the same

90+79 = 169

169/8 or 21 1/8

8 0
2 years ago
Suppose an arrow is shot upward on the moon with a velocity of 44 m/s, then its height in meters after tt seconds is given by h(
andreev551 [17]

Answer:

a. 38.19m/s

b. 38.605m/s

c. 38.937m/s

d. 39.0117m/s

e. 39.01917m/s

Step-by-step explanation:

The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:

v_a_v_g = \frac{\Delta x}{\Delta t} =\frac{x_f-x_i}{t_f-t_i}

Where:

x_f=Final\hspace{3}distance\hspace{3}traveled\\x_i=Initial\hspace{3}distance\hspace{3}traveled\\t_f=Final\hspace{3}time\hspace{3}interval\\t_i=Initial\hspace{3}time\hspace{3}interval

a. Let's find h(3) and h(4) using the data provided by the problem:

h(3)=44(3)-0.83(3^2)=124.53=x_i\\h(4)=44(4)-0.83(4^2)=162.72=x_f

The average velocity over the interval [3, 4] is :

v_a_v_g=\frac{162.72-124.53}{4-3} =38.19m/s

b. Let's find h(3.5) using the data provided by the problem:

h(3.5)=44(3.5)-0.83(3.5^2)=143.8325=x_f

The average velocity over the interval [3, 3.5] is :

v_a_v_g=\frac{143.8325-124.53}{3.5-3} =38.605m/s

c. Let's find h(3.1) using the data provided by the problem:

h(3.1)=44(3.1)-0.83(3.1^2)=128.4237=x_f

The average velocity over the interval [3, 3.1] is :

v_a_v_g=\frac{128.4237-124.53}{3.1-3} =38.937m/s

d. Let's find h(3.01) using the data provided by the problem:

h(3.1)=44(3.01)-0.83(3.01^2)=124.920117=x_f

The average velocity over the interval [3, 3.01] is :

v_a_v_g=\frac{124.920117-124.53}{3.01-3} =39.0117m/s

e. Let's find h(3.001) using the data provided by the problem:

h(3.001)=44(3.001)-0.83(3.001^2)=124.5690192=x_f

v_a_v_g=\frac{124.5690192-124.53}{3.001-3} =39.01917m/s

7 0
3 years ago
Which ordered pair is a solution to this equation? 2x+3y=16 A.) (11, 1)
eimsori [14]
<span>C.) (5,2) as we put these values in the above equation we get 16 on both sides and hence the equation is satisfied.if we put values in the above equation the answer is `16. from above equation 2x+3y=16 put x=5 y=2 2(5)+3(3)=16</span>
7 0
3 years ago
Read 2 more answers
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