2 years ago

If f(x) = x–5 and 1/2f(a)=3,then a =...........

Mathematics

1 answer:

Bess [88]2 years ago

3 0

I think it is 6 but im not sure

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The slope of the line below is -5 which of the following is the point-slope form of the line (2,-8)

insens350 [35]

The point slope form has the following syntax.

$y - y_1 = m(x - x_1)$
m = slope = -5
$y - y_1 = -5(x - x_1)$
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$y_1 = -8$
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3 years ago

Let sin(2x) = cos(x), where 0° ≤ x < 180°. What are the possible values for x?

lions [1.4K]

Answer:

The possible values of x are 90°, 30° and 150°.

Step-by-step explanation:

Given that,

sin(2x) = cos(x) where 0° ≤ x < 180°

We know that, sin(2x) = 2 sinx cosx

2 sinx cosx = cosx

Subtract cosx on both sides

2 sinx cosx - cosx = 0

cosx (2sinx-1)=0

It means, cosx = 0 and (2sin x -1 ) = 0

cos x = cos0 and sinx = 1/2

x = 90° and x = 30°, 150°

Hence, the possible values of x are 90°, 30° and 150°.

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3 years ago

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If f(x) = x–5 and 1/2f(a)=3,then a =...........​

If f(x) = x–5 and 1/2f(a)=3,then a =...........