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Vikki [24]
3 years ago
8

Find a normal vector n to the plane z−5(x−2)=2(8−y)

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0

A normal vector is the set of coefficients of x, y, and z when the equation is written in standard (or general) form.

Subtracting the left side, we have

... 2(8 -y) -z +5(x -2) = 0

... 16 -2y -z +5x -10 = 0

... 5x -2y -z +6 = 0 . . . . . general form

A normal vector is (5, -2, -1).

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Cobalt-60 has a half-life of about 5 years. How many grams of a 300 g sample will remain after 20 years? A: 0.0625 g
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The answer is letter c
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Which equation is an identity?​
kirza4 [7]

Answer:

Option (3).

Step-by-step explanation:

Option (1).

3(x - 1) = x + 2(x + 1) + 1

3x - 3 = x + 2x + 2 + 1

3x - 3 = 3x + 3 [Not True]

Therefore, this equation is not an identity.

Option (2).

x - 4(x + 1) = -3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2 [Not true]

Therefore, this equation is not an identity.

Option (3).

2x + 3 = \frac{1}{2}(4x + 2) + 2

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3 [True]

Therefore, this equation is an identity.

Option (4).

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

3x - 1.5 = 3x + 3 - x - 2

3x - 1.5 = 2x + 1 [Not true]

Therefore, this equation is not an identity.

6 0
3 years ago
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Please tell me if its A,B,C,D, or E
kow [346]

Answer:

A

Step-by-step explanation:

I did the math! and got 15

Hope this helps!

6 0
2 years ago
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What equation is solved by the graphed systems of equations? Two linear equations that intersect at the point negative 1, negati
GuDViN [60]

To solve this problem, we have to manually solve for the value of x for each choices or equations. The correct equation will give a value of -1 since the linear equations intersects at point (-1, -4).

<span>1st: 7x + 3 = x + 3</span>

7x – x = 3 – 3

6x = 0

<span>x = 0                (FALSE)</span>

 

<span>2nd: 7x − 3 = x – 3</span>

7x – x = 3 – 3

6x = 0

<span>x = 0                (FALSE)</span>

           

<span>3rd: 7x + 3 = x − 3</span>

7x – x = - 3 – 3

6x = -6

<span>x = -1               (TRUE)</span>

 

<span>4th: 7x − 3 = x + 3</span>

7x – x = 3 + 3

6x = 6

<span>x = 1                (FALSE)</span>

 

Therefore the answer is:

<span>7x + 3 = x − 3</span>

6 0
3 years ago
At Davis you can buy 12 pounds of M&amp;M's for $12.24 or 8 pounds for $8.24 at Smith's. Which is the better buy
Law Incorporation [45]

Answer:

12 pounds

Explanation:

If you were to divide 12.24 from 12 you would get 1.02, which would be the cost of each pound.

Meanwhile, if you were to divide 8.24 from 8 you would get 1.03, which would be the cost of each pound.

So although its only a 1 cent difference and you are technically spending more by buying the 12 pounds, if it were to buy 8 pounds from the cost of each pound for the 12 pounds, you'd only be spending $8.16 vs $8.24.

Because you would multiply 1.02, which is the cost of each pound for 12, by 8 and you would get 8.16.

4 0
2 years ago
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