The simplified expression are as follows;
6mn³ - mn² + 3mn³ + 15mn² = 9mn³ + 14mn²
a⁴b³ + 8a⁴b³ = 9a⁴b³
<h3>How to simplify an expression?</h3>
A simplified expression is express to its lowest term.
Therefore,
6mn³ - mn² + 3mn³ + 15mn²
combine like terms
6mn³ + 3mn³ - mn² + 15mn²
9mn³ + 14mn²
a⁴b³ + 8a⁴b³ = 9a⁴b³
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Answer:
It would be the first graph because |x| >5 is solved in two cases
The first case you keep everything the same, just get rid of the absolute value bars
x>5
The second case, you need to switch the sign and make the 5 negative
x<-5
When graphing you want to put an open circle on -5, and 5 because when it is < or > you have an open circle,
You then point the arrows going which ever way your sign is going, this is why the -5 is going to the left because the < sign is pointing left, and same with the 5, the arrow is going right because the > sign is pointing right
Hope this helps ;)
Answer:
D(-2, 5).
Step-by-step explanation:
We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).
And we want to determine the coordinates of D.
Recall that the midpoint is given by:
Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:
This yields two equations:
Solve for each:
And:
In conclusion, Point<em> </em>D = (-2, 5).
Answer:
49π
Step-by-step explanation:
Circle area: πr^2
Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.
Since we know the radius, we can put it in the formula, πr^2.
We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.
