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3 years ago

Solve for x -3x+6=2x-24

Mathematics

1 answer:

ozzi3 years ago

7 0

Answer:

7.5 or 15/2

Step-by-step explanation:

x-3x+6=2x-24 -- Combine like terms

-2x+6=2x-24 -- Add 2x to each side

6 = 4x-24 -- add 24 to each side

30 = 4x -- divide by 4

15/2 or 7.5 = x

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Graph the line y+3=-1/4(x-3)

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Answer:

Make a table with values of x and y using the equation y + 3 = -1/4(x - 3) :

x y

0 -2.25

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Now, graph these and draw a line through the points:

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Answer:

-11/6 least

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Step-by-step explanation:

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Find the slope of the line that passes through (-46, -41) and (-11, -8).

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EASY QUESTION Focus on question 5

Elza [17]

Answer:

84 cm^3

14080 cm^3

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Step-by-step explanation:

Remember the formulas for volume, and you're golden.

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= 88 cm^2 * 160 cm = 14080 cm^3

c) V(cylinder) = area of base * height

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Solve the equation : <img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%

Debora [2.8K]

Answer:

General solution is

$x = n \pi + \frac{\pi }{8}$

Step-by-step explanation:

Step(i):-

Given cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b) $cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }$

Step(ii):-

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

$cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x$

$cos (\frac{\pi }{4}+x ) = cos 3 x$

Step(iii):-

General solution of cos x = cos ∝ is x = 2 nπ+∝

we have $cos (\frac{\pi }{4}+x ) = cos 3 x$

The general solution of $cos (\frac{\pi }{4}+x ) = cos 3 x$ is

⇒ $3 x = 2 n \pi + (\frac{\pi }{4}+x )$

⇒ $3 x- x = 2 n \pi + \frac{\pi }{4}$

$2x = 2 n \pi + \frac{\pi }{4}$

final answer:-

General solution is

$x = n \pi + \frac{\pi }{8}$

8 0

3 years ago