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3 years ago

Subtract u from the sum of s and t

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:

(s+t)-u

Step-by-step explanation:

You have to add s and t.

Since they are variables, the sum will be s+t

you then have to subtract u from s and t so, you have (s+t)-u

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The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the cente

inn [45]

The mean sustained wind velocity has the equation:

v = 6.3 √(1013 - p)

If we are given with the mean sustained wind velocity of 64 m/s, then we can solve for the air pressure using the equation:

64 = 6.3 √(1013 - p)

64/6.3 = √(1013 - p)

10.1587² = 1013 - p

p = 910 millibars

hope this helps!!!!!!!!!!!!

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2 years ago

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If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

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3 years ago

8. A rectangular prism has a volume of 468 cubic meters. It has a length of 12 meters and a width of 6 meters. What is the heigh

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2 years ago

I did 4 more problems than Manuel how many problems did I do

Aleksandr-060686 [28]

4 more than Manuel did

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3 years ago

2x-2y= 14 standard to slope and intercept form

valina [46]

Answer:

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Step-by-step explanation:

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3 years ago

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