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Ira Lisetskai [31]
3 years ago
8

Expand to write an equivalent expression -1/2 (-6x+8y) (Pleasee help i need an answer rqqqq)

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

-  \frac{1}{2} ( - 6x + 8y) \\  =  \frac{1}{2} (6x - 8y) \\  = 3x - 4y

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Kelly leaves her home and cycles 4y miles south then cycles (3y + 9) miles east
atroni [7]
4y(3y + 9)
12y + 36
36 ÷ 12=x=3
7 0
3 years ago
Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r
igomit [66]

Answer:

[u – v√(1 – u²)]/√(1 + v²)

Step-by-step explanation:

Let sin^-1(u) = A, therefore sinA = u.

We know that sin(theta) = opposite/hypothenuse

Therefore, sinA = u/1 and u is the opposite side to angle A while 1 is the hypotenuse. Draw an acute triangle placing u opposite to angle A and 1 as the hypotenuse. By Pythagoras theorem the adjacent would be √(1 – u²).

By doing this, it means cosA = adjacent/hypotenuse = √(1 – u²)/1 = √(1 – u²)

Also, let tan^-1(v) = B, therefore tanB = v.

We know that tan(theta) = opposite/adjacent

Therefore, tanB = v/1 and v is the opposite side to angle B while 1 is the adjacent. Draw an acute triangle placing v opposite to angle B and 1 as the adjacent. By Pythagoras theorem the hypothenuse would be √(1 + v²).

Therefore, sinB = opposite/hypotenuse = v/√(1 + v²) and cosB = adjacent/hypotenuse = 1/√(1 + v²)

Now,

sin[sin^–1(u) – tan^–1(v)] =

sin(A – B) =

sinAcosB – sinBcosA =

u[1/√(1 + v²)] – [v/√(1 + v²)][√(1 – u²)] =

[u/√(1 + v²)] – [v√(1 – u²)/√1 + v²)] =

[u – v√(1 – u²)]/√(1 + v²).

8 0
3 years ago
11 divided by 0.1595
schepotkina [342]

Answer:

68.965

Step-by-step explanation:

3 0
3 years ago
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Work out the area of this quarter circle take pie to be 3.142 radius in image attached thanks (:
iVinArrow [24]

Answer:

<h2>38.4895 cm^2</h2>

Solution,

Radius(R)= 7 cm

Area of quarter circle:

\frac{\pi \:  {r}^{2} }{4}

=  \frac{3.142 \times 49}{4}

= 38.4895 \:  {cm}^{2}

Hope this helps...

Good luck on your assignment..

3 0
3 years ago
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How many square feet of wood will Donald use to construct the planter?
Orlov [11]

Answer:

D

Step-by-step explanation:

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3 years ago
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