Answer:
n=-3n+5
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
3(5x + 2) = 2(3x - 6)
<em>Expand the brackets. </em>
15x + 6 = 6x - 12
<em>Isolate the unknown variable x. </em>
15x - 6x = -12 - 6
<em>Evaluate. </em>
9x = -18
<em>Find x. </em>
x = -18 ÷ 9
x = -2
Answer:
-(-45) and -|45|
Step-by-step explanation:
Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.
Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.
According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.
To do this, we are to select the values in the options that will return +45.
Let's look at each option.
For -(-45):
Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45
For -45:
-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.
For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.
For -|45|:
The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.
Answer:
-3x-3y-z=38
Step-by-step explanation:
To find the equation of the tangent plane you can use
the point P is (-6,-6,-2). Hence you have
hope this helps!!
Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
