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torisob [31]
2 years ago
13

What number needs to be subtracted from both sides of the equation 40 = 25 + x in order to isolate the variable and solve for x?

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

x = 15

Step-by-step explanation:

As given, the equation 40 = 25 + x

As on the R.H.S of the equation, there is one constant and a variable x

As to isolate the variable we have to subtract the same constant so that that constant gives 0.

As we have the constant value 25

So, subtract 25 from both side of the equation, we get

40 - 25 = 25 + x - 25

⇒15 = x

∴ we get

x = 15

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2 years ago
The temperature in the freezer is -15°C. The temperature outside the freezer is 10°C. Find the difference between these two temp
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Use inverse functions where needed to find all solutions of the equation in the interval 2 cos2 x + 9 sin x = 6
spin [16.1K]

You can use the identity \cos(2x) = \cos^2(x)-\sin^2(x) to write the equation as

2(\cos^2(x)-\sin^2(x))+ 9\sin(x) = 6

Now, from the fundamental equation of trigonometry, deduce an expression for \cos^2(x) in terms of \sin^2(x):

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The equation becomes

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Simplify the left hand side and move all terms to left hand side:

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t = \cfrac{9}{8} - \cfrac{\sqrt{17}}{8},\quad t = \cfrac{9}{8} + \cfrac{\sqrt{17}}{8}

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6 0
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