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Ray Of Light [21]
3 years ago
9

Solve the following equation:m - m-1/2 = 1 - m-2/3​

Mathematics
1 answer:
grigory [225]3 years ago
3 0

Answer:

m = \frac{7}{5}

Step-by-step explanation:

m - \frac{m-1}{2} = 1 - \frac{m-2}{3}

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides

6m - 3m + 3 = 6 - 2m + 4 , that is

3m + 3 = - 2m + 10 ( add 2m to both sides )

5m + 3 = 10 ( subtract 3 from both sides )

5m = 7 ( divide both sides by 5 )

m = \frac{7}{5}

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Someone please tell if this is right!
sertanlavr [38]

Answer:

Step-by-step explanation:

-4x , for the top right box, the rest are good

4 0
2 years ago
What is m∠KNL?<br> Enter answer in box
kodGreya [7K]

I want to talk about X's. I'll start by talking about this X - a cross (photo 1). Specifically, a cross made of two perpendicular lines - lines that meet each other at right angles all around. What's special about a cross? There's the religious significance, but in our case, there's also the <em>symmetry</em>. The quick, intuitive definition of symmetry is some quality that a thing has where, if you do something to it, it'll still look the same. Your body is symmetric; the left side of our bodies looks like we took the right side and flipped it - they're mirror images of each other.

One of the symmetries of this cross is right here. (Picture 2) It splits the cross into <em>two identical halves</em>, one a mirror image of the other. Most importantly, <em>the angles on each side of the line are identical</em>. We can draw this same mirror into our problem, too (picture 3). This symmetry tells us that those two unknown angles are exactly the same - <em>equal</em>. So, if angle MNJ is 5x+2 and angle LNK is 3(x+14), we now know that

5x + 2 = 3(x + 14), or, getting our algebra sorted:

5x + 2 = 3x + 42

2x = 40

x = 20

Now that we know x, we can find MNJ - which, because X's are symmetric, is exactly the same angle as LNK. Crunching the numbers, we find

m∠MNJ = m∠LNK = 5(20) + 2 = 100 + 2 = 102°.

Side note: the technical term for pairs of angles like MNJ and LNK is vertical angles. What we've shown here is, because of the symmetry of intersecting lines, vertical angles are always equal.

7 0
3 years ago
Work out the value of (10^4)^2​
Yuri [45]

Answer:

100000000

Step-by-step explanation:

(10^4)^2                                                   key =

{(2.5)^4}^2                                                       . = times

(2^4 . 5^4)^2

(2^4) ^2 (5^4)^2

2^4 ^.2. 5^4^.2

2^8 . 5^8

256. 390625

100000000

4 0
3 years ago
If BC = 61 and AB = 82, what is the length of AC?
Nitella [24]

Answer:

54.8

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2.

Plug the given values in to get 61^2+b^2=82^2

61^2 is 3,721 and 82^2 is 6,724.

6,724-3,721 is 3,003.

The square root of 3,003, rounded to a reasonable value, is 54.8.

The length of AC is 54.8.

4 0
3 years ago
6. Choose the step to take to solve this equation for x.
DanielleElmas [232]

Answer:

add 7 to the right!

X=8+7

X=15

5 0
2 years ago
Read 2 more answers
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