Answer:
4
Step-by-step explanation:
2x+y=12
y=-2x+12
y-2=3(x-2)
If it’s parallel to each other: the slope has to be the same.
If is perpendicular to each other: the slope should be the reciprocal to each other.
The first equation has a slope of -2
The second has a slope of 3
Neither the condition meet. So the answer is 4
Answer:
i think its because it is an odd number im in middle school so im not sure but let me know if this is right
Step-by-step explanation:
Answer:
C: x = -2, 0, and 6
Step-by-step explanation:
First set the equation equal to zero
0 = x³ - 4x² - 12x
now factor out the GCF, which is 'x'
0 = x(x² - 4x - 12)
Now factor completely...
0 = x(x - 6)(x + 2)
So
x = 0
and
x - 6 = 0 becomes x = 6 (add 6 to both sides)
and
x + 2 = 0 becomes x = -2 (subtract 2 from both sides)
So our solutions are
x = -2, 0, and 6
Answer: 60 L
Step-by-step explanation:
Given
The measurement of a rectangular vessel is
If we multiply the given terms then it will give the volume of the rectangular vessel in .
So, the volume of the rectangular vessel is
Also, we know i.e. to convert to L, divide the result by 1000.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's write down the equations which we will be solving as displayed below:
Equation No. 1 -
4m + n = 6
Equation No. 2 -
3m = 2n - 13 / 2
To begin with, we will make ( n ) the subject in the first equation as displayed below:
Equation No. 1 -
4m + n = 6
n = 6 - 4m
Next, we will substitute the value of ( n ) from the first equation into the second equation and also make ( m ) the subject. Then, we will solve the equation as displayed below:
Equation No. 2 -
3m = 2n - 13 / 2
3m = 2 ( 6 - 4m ) - 13 / 2
3m = 12 - 8m - 13 / 2
3m + 8m = 12 - 13 / 2
11m = 11 / 2
m = ( 11 / 2 ) ÷ 11
m = 1 / 2
Now we will substitute the value of ( m ) from the second equation into the first equation as displayed below:
Equation No. 1 -
n = 6 - 4m
n = 6 - 4 ( 1 / 2 )
n = 6 - 2
n = 4
ANSWER:
Therefore, our answer is:
m = 1 / 2
n = 4
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