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2 years ago

Simplify: 2x^2(4x^3 - 3x^2 + 6x)

Mathematics

1 answer:

Blababa [14]2 years ago

3 0

Answer:

Step-by-step explanation:

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Somebody help me with this math plz!!!

Leya [2.2K]

Answer:

-60 miles per hour

Step-by-step explanation:

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2 years ago

Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o

Brrunno [24]

Answer:

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

$Sin\ C = \frac{h}{a}$

Make h the subject:

$h = aSin\ C$

Also, in BOC (Using Pythagoras)

$a^2 = h^2 + x^2$

Make $x^2$ the subject

$x^2 = a^2 - h^2$

Substitute $aSin\ C$ for h

$x^2 = a^2 - h^2$ becomes

$x^2 = a^2 - (aSin\ C)^2$

$x^2 = a^2 - a^2Sin^2\ C$

Factorize

$x^2 = a^2 (1 - Sin^2\ C)$

In trigonometry:

$Cos^2C = 1-Sin^2C$

So, we have that:

$x^2 = a^2 Cos^2\ C$

Take square roots of both sides

$x= aCos\ C$

In triangle BOA, applying Pythagoras theorem, we have that:

$AB^2 = h^2 + (b-x)^2$

Open bracket

$AB^2 = h^2 + b^2-2bx+x^2$

Substitute $x= aCos\ C$ and $h = aSin\ C$ in $AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2$

Open Bracket

$AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C$

Reorder

$AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C$

Factorize:

$AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C$

In trigonometry:

$Sin^2C + Cos^2 = 1$

So, we have that:

$AB^2 = a^2 * 1 + b^2-2abCos\ C$

$AB^2 = a^2 + b^2-2abCos\ C$

Take square roots of both sides

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

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3 years ago

Find the radius and circumference of a CD with a diameter of 4.75 inches.

nexus9112 [7]

Radius is half of diameter.
Circumference can be found using the equation C=2(pi)r or C=(pi)d.
r=radius, d=diameter
(pi) is about 3.14 or 22/7

5 0

3 years ago

Y=2x <br> y=4x+2 <br><br> i need help solving this it’s the substitution method

PilotLPTM [1.2K]

Answer:

X=-1,y=-2

Step-by-step explanation:

if y =2x

2x=4x+2

so X=-1 and y=-2

4 0

3 years ago

Natasha places an online order for plate holders to display her antique plates. She chooses a specific site because it has a pro

lawyer [7]

She received 15% off, so she actually paid 85%

0.85(( 3*4.95) + (2* 3.25) + (2*1.75) + 5.35)) = 0.85(30.20) = 25.67
um...I have double checked this, and I am not getting an answer choice.

3 0

2 years ago

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