Answer:
-16 =n
Step-by-step explanation:
Let n= number
4n -21 = 6n +11
Subtract 4n from each side
4n-4n -21 = 6n-4n +11
-21 = 2n+11
Subtract 11 from each side
-21-11 = 2n
-32 = 2n
Divide by 2
-32/2 = 2n/2
-16 =n
Answer: x= 8-2y
Step-by-step explanation:
3x+6y=24
Subtract 6y from both sides
3x=24−6y
Divide both sides by 3
3/3x = 24-6y/3
Dividing by 3 undoes the multiplication by 3
x=24-6y/3
Divide 24−6y by 3.
The final answer comes out as x=8-2y. Hope this helped!
first one 18x4 + 36x3 - 9x2
A <em>midpoint</em> of a<em> line segment</em> implies a point on the line that is <u>equidistant</u> to its two ends. So that the <em>required</em> proof is shown below:
Given: line <u>segment</u> MN
x, the <em>midpoint </em>of MN
MX = RX
Then;
MX = XN (<u>midpoint</u> property of a line)
So that,
MN = MX + XN
= MX + MX (since XN = MX)
MN = 2MX
Thus,
MX = XN = RX (given that MX = RX)
Therefore, it can be concluded that;
XN = RX
For more clarifications on the midpoint of a line segment, visit: brainly.com/question/18049211
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Answer:
The equation is not an identity, because the term 12xy is missing
Step-by-step explanation:
Starting with the expression on the left of the identity, we operate to get an equivalent expression, as follows:
(3x + 2y)² =
= 9x² + 12xy + 4y² =
= 9x² + 12xy + 4y² - 4y² + 4y² =
= 9x² - 4y² + 12xy + 8y² =
= (3x - 2y)(3x + 2y) + 12xy + 2(2y)²