Answer:
the sum of m and j In an algebraic expression is
m+j
Note that the ÷5 and the ×5 cancel out.
3×9
n+1
−9×3
2n
=
3×3
2n+3
−(3
2
)
n+1
3×(3
2
)
n+1
−3
2
×3
2n
=
3
1+2n+3
−3
2n+2
3
1+2n+2
−3
2+2n
=
3
4+2n
−3
2n+2
3
3+2n
−3
2+2n
=
3
2n
(3
4
−3
2
)
3
2n
(3
3
−3
2
)
=
81−9
27−9
=
72
18
=
4
1
Answer:
X' is (5,-5)
Step-by-step explanation:
Knowing that this is just a translation, we can reverse the (polarity?) of each equation, such as changing -5 to +5 to find the original answer.
With that in mind, we can add 2 to X, and -1 from Y, which puts us at, 5 on the X axis, and -5 on the Y axis.
The area of a triangle can be found by using the formula A = bh/2
To find the area of the shaded region (the green section), we can find the area of both triangles and subtract.
Large triangle:
A = 28*36/2
A = 1008/2
A = 504km²
Small triangle:
A = 15*19/2
A = 285/2
A = 142.5km²
Subtract both triangles:
504 - 142.5 = 361.5km²
Therefore, the area of the shaded region is <u>361.5</u>km²
Best of Luck!
