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2 years ago

21 p?=u² + 2as u= 12 a = -3 s= 18 (a) Work out a value of v.

Mathematics

1 answer:

aalyn [17]2 years ago

6 0

Answer:

6 or -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

$v^2 = 12^2 + 2(-3)(18)$
$v^2 = 144 + (-6)(18)$
$v^2 = 144- 108$
$v^2 = 36$

Step 2: Take square root of both sides.

$\sqrt{v^2} =$ ± $\sqrt{36}$
$v =$ ± $\sqrt{36}$
$v = 6$ or $-6$

Therefore, the answer is 6 or -6.

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-Dominant- [34]

The profits at x = $185 is 0 and the graph is attached below:

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Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)

The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.

The profits reach a maximum at $140 and then the profits start to reduce as x increases again.

So, the profits at x = $185 is 0.

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2 years ago

Straight angles Are extremely important in geometry. When two lines intersect , they form multiple angles. In the diagram below,

rusak2 [61]

When two straight lines intersect, the vertical opposite angles intersect. the other two angles are also equal. Let the known angle be x, then the other two adjacent angles are obtained subtracting twice of x from 360 and dividing the result by 2.

Therefore, the table can by filled as follows:

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Given <GEF = 120°

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<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.

Row 2:

Given <MEH = 150°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°

<FEM is adjacent to <GEF, thus
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<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.

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Given that <FEM = 25°

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<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.

Row 4:

Given that <HEG = 45°

<HEG is adjacent to <GEF, thus
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<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°

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3 years ago

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Harlamova29_29 [7]

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Hope this helps! :)

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