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Irina18 [472]
3 years ago
7

PLZ PLZZZZ HELP ASAP!!!!! Explain the error: 144x2 - 100 (12x + 10)(12x - 10) 2(6x + 5)(6x - 5)

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

9514 1404 393

Answer:

  a factor of 2 is shown, but 4 was factored out

Step-by-step explanation:

The difference of squares is factored as ...

  a² -b² = (a +b)(a -b)

Then the given difference of squares factors as ...

  144x² -100 = (12x)² -10² = (12x +10)(12x -10)

Each of these factors has a factor of 2 that can be factored out:

  = (2(6x +5))(2(6x -5))

  = (2·2)(6x +5)(6x -5)

  = 4(6x +5)(6x -5)

The first factor should be 4, not 2.

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5(3m+2)<br> 6(g+h)<br> 4d+8<br> 21p+35q<br> 18x+9y
aalyn [17]
<span>(a) 5(3m+2) = 15m + 10

(b) 6(g+h) = 6g + 6h

(c) 4d+8 = 4(d + 2)

(d) 21p+35q = 7(3p + 5q)

(e) 18x+9y = 9(2x + y)</span>
7 0
3 years ago
the three sides of a triangle are n, 3n+2, and 4n−4. If the perimeter of the triangle is 54cm, what is the length of each side?
taurus [48]

The lengths of the sides are 7, 23 and 24.

In order to find this, we need to add all of the side lengths together and set equa to 54. This will allow us to solve for n.

n + 3n + 2 + 4n - 4 = 52

8n - 2 = 52

8n = 54

n = 7

This gives us the length of the first side. To solve for the others, plug 7 into the equations.

3n + 2

3(7) + 2

21 + 2

23

Then the next one.

4n - 4

4(7) - 4

28 - 4

24

8 0
3 years ago
Read 2 more answers
AN<br> X =<br> = [?]<br> 30°<br> X<br> B<br> C<br> angles are not drawn to scale
Tju [1.3M]

Answer:

x=60°

Does the answer help you?

3 0
3 years ago
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The function g(x) =8(4x) is reflected across the x-axis to create f(x) what is the equation for f(x)
Sveta_85 [38]

Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).

Explanation:  since we know that the image or reflection of x along x-axis = -x

That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis  then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.

Similarly, for an another line y=3, y=-3 is a reflection.

thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.  

we have g(x) =8(4x)  

replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)

so -8(4x) is the reflection of g(x)

but according to the question f(x) is the reflection of g(x) across x-axis.

Thus, f(x)=-8(4x)



6 0
3 years ago
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Can someone pls help for brainlest
ELEN [110]

Answer:

6 x 8 = 48 yd2 (square yards)

Step-by-step explanation:

5 0
3 years ago
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