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PilotLPTM [1.2K]
3 years ago
7

How many solutions exist for the given equation?

Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

Infinitely many

Step-by-step explanation:

12x+1=3(4x+1)-2

Expand 3(4x+1)-2

12x+3-2

12x+1

12x+1=12x+1

Simplify.

0=0

True for all values of x

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How to calculate the distance for graphs?
ollegr [7]

Answer:

\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }

Step-by-step explanation:

This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:

\sqrt{(1-2)^{2}+(1-2)^{2}}

We can simplify and come up with:

\sqrt{(-1)^{2}+(-1)^{2}}

=\sqrt{2}

We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive \sqrt{2}.

Hope this helped!

4 0
2 years ago
How many pairs of whole numbers have a sum of 40
Alex
For the writer, <span><span>there are 20
1.       </span>1 + 39 = 40</span> <span><span>
2.       </span>2 + 38 = 40</span>
<span><span>3.       </span>3 + 37 = 40</span>
<span><span>4.       </span>4 + 36 = 40</span> <span><span>
5.       </span>5 + 35 = 40</span> <span><span>
6.       </span>6 + 34 = 40</span>
<span><span>7.       </span>7 + 33 = 40</span>
<span><span>8.       </span>8 + 32 = 40</span> <span><span>
9.       </span>9 + 31 = 40</span>
<span><span>10.   </span>10 + 30 = 40</span> <span><span>
11.   </span>11 + 29 = 40</span> <span><span>
12.   </span>12 + 28 = 40</span>
<span><span>13.   </span>13 + 27 = 40</span> <span><span>
14.   </span>14 + 26 = 40</span> <span><span>
15.   </span>15 + 25 = 40</span> <span><span>
16.   </span>16 + 24 = 40</span> <span><span>
17.   </span>17 + 23 = 40</span> <span><span>
18.   </span>18 + 22 = 40</span> <span><span>
19.   </span>19 + 21 = 40</span> <span><span>
20.   </span>20 + 20 = 40</span>



5 0
3 years ago
each day alyssa jogs for 25 minutes on a treadmill she jogs 135 meters a minute at the speed at which alyssa is jogging how many
Fittoniya [83]

Answer: she is jogging 2.25 i think

Step-by-step explanation:

im sorry im not sure i just divided 135 by 60 but i dont think its right:(

5 0
3 years ago
Forty tickets are sold for a raffle with two prizes. You buy two tickets. What is the probability that you will win both prizes?
Trava [24]
Well, the first one is 2/40=1/20. The 2nd one is 1/39. You multiply these to get 1/780.
5 0
3 years ago
X-4 greater than or equal to 12 and x/12 &lt;2 graph the solution on a number line ​
Marianna [84]

Answer:

Step-by-step explanation:

x-4>=12 ====>   x>=12+4 ======>   x>=16

x/12<2 ====> x<12(2) ====> x<24

4 0
2 years ago
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