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2 years ago

Rationalize root six divided by root three minus root two.

Mathematics

1 answer:

Anni [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Let's first divide the two roots of $\sqrt{6}$ and $\sqrt{3}$ .

$\sqrt{\frac{6}{3} }$

$\sqrt{2}$

Now, $\sqrt{2}$ - $\sqrt{2}$ = 0.

So, this equation comes out to be 0.

Hope this helped!

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Jimmy works part-time at Walmart earning $11 per hour. He is allowed to work anywhere between 0 to 30 hours per week. His only e

Mashcka [7]

The answer is letter A.

8 0

2 years ago

The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one

Irina18 [472]

Answer: The volume of the tetrahedron is 2 units.

Step-by-step explanation:

Let A = (1, 1, 1)

B = (1, 5, 5)

C = (2, 2, 1)

The volume of a tetrahedron is given as

V = (1/6)|AB, AC, AD|

Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.

We need to determine AB, AC, and AD

Suppose A = (a1, a2, a3)

B = (b1, b2, b3)

C = ( c1, c2, c3)

AB = ( b1 - a1, b2 - a2, b3 - a3)

Similarly for AB, AC, BC, etc.

AB = (1 - 1, 5 - 1, 5 - 1)

= (0, 4, 4)

AC = (1, 0, 2)

AD = (1, 1, 0)

Volume =

(1/6) |0 4 4|

|1 0 2|

|1 1 0|

= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)

= (1/6)(0 + 8 - 4)

= (1/6)(12)

V = 12/6 = 2 units

5 0

2 years ago

Which is not an equation of the line going through (6, 7) and (2, –1)?

garri49 [273]

Answer - D.

you basically find the equation of the line first and eliminate the wrong answers...

Strategy: before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
basically, I'll choose (6,7) as (x1,y1) and (2,-1) as (x2,y2). SO,

First you have to find the gradient (m) of the line.
you do this by using the formula m = Y2-Y1 / X2-X1 (where '/' is division sign) ....
Put the numbers in their respective places and your gradient will be 2x. we put the x after our number to represent it as a gradient as the straight line formula is y = mx+c and you've found the m.
NOW.
use the formula Y-Y1=m(x-x1) to find the equation of the line.Again u can use any Y1 and X1 here but remember your m is 2

replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
Y-7 = 2(x-6) ....
y=2x-12+7...
Y=2x-5! <<<< this is your straight line equation!
Now all u gotta do is rearrange all your options into y = mx+c.
D. is incorrect as it gives us y=2x+5 and not y = 2x-5 unlike the others

Hope you get it!

7 0

2 years ago

If square root of 5 - x = 4 , then x=

Arada [10]

I'm guessing here, but I may be right. The answer is x=0
If I'm wrong please correct me!!

8 0

2 years ago

Read 2 more answers

Environmentalists concerned about the impact of high-frequency radio transmissions on birds found that there was no evidence of

babunello [35]

Answer:

No, we cannot conclude anything about 0.10

Yes, they have made the same decision.

Step-by-step explanation:

Consider the provided information.

Part (A)

They based this conclusion on a test using α = 0.05. Would they have made the same decision at α = 0.10

A significance level of 0.05 indicates a 5% risk of concluding that a difference exists

From the normal table the critical value is Z(0.05) = 1.645 and we accept null hypothesis.

If α = 0.1, the critical value is Z(0.1)=1.28

1.28 is less than 1.645.

Therefore, we cannot conclude anything about 0.10

Part (B)

α = 0.01, the critical value is Z(0.01)=2.33

The critical value of α = 0.05 is 1.645 which is less than 2.33,

So we would again reject the null hypothesis.

Hence, they have made the same decision.

6 0

2 years ago