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2 years ago

If x-y= -10 and x-y=2 what is the value of x

Mathematics

1 answer:

sp2606 [1]2 years ago

8 0

No solution , because x-y = -10 therefore x-y can’t be -2

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.

DENIUS [597]

Answer:

$\frac{7}{\sqrt{3}}$

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

$d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |$ --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

$d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |$

$d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |$

$d = |\frac{(-7)}{\sqrt{3}} |$

$d = \frac{7}{\sqrt{3}}$

Therefore, the shortest distance from the point to the plane is $d = \frac{7}{\sqrt{3}}$

5 0

3 years ago

Evaluate <br><br> 2r(t + 7) if r = 4 and t = 2.

Serhud [2]

The answer is 72 all u need to do plug in the numbers where the letters are

6 0

3 years ago

Solve the proportion 18/30 = 12/n. what does N equal?

natita [175]

So you are going to want to cross multiply getting 18x=360 then from there you divide gettin x=20

8 0

3 years ago

A resturant orders 50 pounds of hamburger every week.they sell six pounds of hamburger every day.how much hamburger is left at t

murzikaleks [220]

Answer:

8 pounds

Step-by-step explanation:

6 pounds of hamburger x 7 days a week = 42 pounds of hamburger used

50 - 42 = 8 pounds of unused hamburger at the end of the week

6 0

3 years ago

you can transform 4x + 12 = 9x - 3 again into a simpler form by subtracting 4x form both sides to get 12 = 5x - 3, if you subsit

nikdorinn [45]

Answer: Yes you will still get a true statement because 3 is the solution to the equation.

Step-by-step explanation:

Well substitute 3 for x into the equation and solve for to see if they equal each other.

12 = 5(3) - 3

12 = 15 - 3

12 = 12

So if you substitute 3 you get the solution .

Now solve for x in the real equation to see if you get 3.

4x + 12 = 9x -3

-4x -4x

12 = 5x -3

+3 +3

15 = 5x

x = 3

7 0

3 years ago