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10 months ago

Subtract 5y-8 from 2y+8

Mathematics

1 answer:

Eva8 [605]10 months ago

7 0

Subtract 5y - 8 from 2y + 8

To subtract two numbers, we can do it like this:

10 - 4 = 10 + (-4)

That is, add the first number with the second number with its sign changed. For simple numbers, it does not make much difference, but for algebraic expressions, it can help a lot.

To subtract both binomials, we write the first plus the second with changed signs:

2y + 8

-5y + 8

---------------

-3y + 16

The result of the subtraction is -3y+16

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The position vector for a particle moving on a helix is

topjm [15]

Answer:

a) 25.15

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

c) (x,y) = (1, -2pi)

Step-by-step explanation:

First lets calculate the velocity, that is, the derivative of c(t) with respect to t:

v(t) = (-sin(t), cos(t), 2t)

The velocity at t0=4pi is:

v(4pi) = (0, 1, 8pi)

And the speed will be:

s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15

The tangent line to c(t) at t0 = 4pi has the parametric form:

(x,y,z) = c(4pi) + t*v(4pi)

Since

c(4pi) = (1, 0, (4pi)^2)

The tangent curve has the following components:

x = 1

y = t

z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)

The intersection with the xy plane will occurr when z = 0

This happens at:

t1 = -2pi

Therefore, the intersection will occur at:

(x,y) = (1, -2pi)

6 0

3 years ago

What is the result when the number 48 is decreased by<br> 15%?

Hitman42 [59]

Answer:

40.8

Step-by-step explanation:

48 * .15 = 7.2

48 - 7.2 = 40.8

3 0

3 years ago

Read 2 more answers

Please help me with these questions , thank you

Angelina_Jolie [31]

Answer:

1. 4 $x^{3}$ + 26x² + 4x - 48

2. 2 $x^{3}$ - 23x² + 60x - 32

3. $x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4. 2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8) + 6(4x² + 2x - 8)

4 $x^{3}$ + 2x² -8x + 6(4x² + 2x -8)

4 $x^{3}$ + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4 $x^{3}$ + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + -16x² + 56x - 32

Combine like terms:

2 $x^{3}$ - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x( $x^{4}$ + 7x² - 4) + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

No like terms to combine, so:

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2 $x^{6}$ - 7 $x^{5}$ + 3) + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 8 $x^{6}$ - 28 $x^{5}$ + 12

Combine like terms:

2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

hope this helps!

8 0

2 years ago

Find the volume of the following solid figure. A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm. What is its volume?

Zolol [24]

580.125 cm3 is the answer.

6 0

3 years ago

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Which statement is NOT true of mitosis?

Vilka [71]

Answer:

D, it is a way or dying cells can be replaced

Step-by-step explanation:

3 0

2 years ago

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