Answer:
7n + 14 and 7(n + 2)
Step-by-step explanation:
We know that since our triangle is isosceles, then two of the sides are the same. Given in the problem, we know that these two congruent sides are both 2n + 7. We also know the third side is 3n.
Perimeter is essentially just the sum of the side lengths of the figure. We simply need to add 2n + 7, 2n + 7, and 3n together:
P = 2n + 7 + 2n + 7 + 3n
Combine like terms:
2n + 2n + 3n + 7 + 7
7n + 14
That's one way we can write it. Another way is to factor out the 7:
7n + 14 = 7(7n/7 + 14/7) = 7(n + 2)
Thus, our two expressions are: 7n + 14 and 7(n + 2).
<em>~ an aesthetics lover</em>
A 90 degree counter-clockwise rotation is being done on the black figure to get the red figure.
The algebraic rule for a 90 degree counter-clockwise rotation is
For instance, the point C = (0,1) moves to C' = (-1,0), which is shown in the graph given and also you can use the rule above to get the same coordinates. The other points A,B and D follow the same rule.
Side note: the rotation is centered at the origin (0,0). This point is fixed.
6
9x is rate of function
3x is rate of function
y=mx+b
Use the distance formula.
The distance, d, between points
and
is given by the distance formula below.
Now we can apply the formula to your points.
Let Point 1 be (2, 3) and Point 2 be (5, -4).
Then you have
Answer: the distance is sqrt(58)
F,d,c don’t make it harder then it has to be