Given:
<span>x^2 + y^2 + z^2 + 2x − 2y − 2z = 22
group the variables
x^2+2x + y^2-2y +z^2-2z = 22
then complete the squares
x^2+2x+1 </span>+ y^2-2y+1 + z^2-2z+1 = 22 +1 +1 +1
factor and simplify
(x+1)^2 + (y-1)^2 + (z-1)^2 = 5^2
Interpretation:
The centre of the sphere is at (-1,1,1) with a radius of 5
Here the question is simple.
All because, we only need to find the value of x.
We are given two equations.
5x + 6 = 10 and 10x + 3 =?
So, we will find the the value of x in the first equation, so that we can substitute the value of x in the second one and there we are with the answer.
5x + 6 = 10
For finding the value of x, all we have to do is,
Transpose the number 6 to 10
Therefore. 5x = 10 - 6 ( Take the equal sign as The Magic Bridge on which if anyone crosses it , will change its sign.)
So we have,
5x = 4
So x = 4/5 ( Multiplication will change to division after crossing the equal sign)
( Doubtful? Substitute the value of x and try!)
Now that we got the value of x,
We can just simply substitute the value of x in the second equation.
10x + 3 = ?
x = 4/5
10*4/5 +3 => 5 and 10 get canceled to 2 at the numerator.
By normal multiplication and then addition, we will get,
8 + 3 = 11
Hope this helps!!!! :)
Answer:
-3x(x+5)(x-4)
Step-by-step explanation:
y=-3x^3 -3x^2 +60x
=-3x (x^2 -x -20)
= -3x (x-4)(x+5)
Step-by-step explanation:
11/4 x + 3/2y = 34
since for 3/2teaspoon of balsamic vinegar 11/4 teaspoon of olive oil is added.
hence the number of times you add 3/2teaspoon of balsamic vinegar should be the same as the number of times you add 11/4teaspoon of olive oil.
Hence y = x
11/4y + 3/2y = 34
multiplying through by 4 gives:
11y + 6y = 4 × 34
17y = 4 × 34
dividing both sides by 7 gives:
y = 4 × 2 = 8
x = 8
hence you add 11/4(8) = 22 table spoon of olive oil to 3/2(8) = 12 table spoon of balsamic vinegar to get 34 teaspoon of bread dip.
Answer:
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