Answer:
omg
I
1. 3×3×3×3 = 81
2. 2²a³
3. (-5)³ (-5×-5×-5) = -125
4. 1
5. a^m-n
II
1. 1.6807× 10⁴
2. (7×7×7) × (2×2×2×2×2×2) = 21952
3. 32²
4. 2187
5. 803025
A is true--------------------------
Answer:
x > -3/7
Step-by-step explanation:
6x - 2(x + 2) > 2 - 3(x + 3)
Distribute the two and three inside the parenthesis.
6x - 2x - 4 > 2 - 3x - 9
Combine like terms.
4x - 4 > -3x - 7
Add 4 to both sides.
4x > -3x - 3
Add 3x to both sides.
7x > -3
Divide both sides by 7.
x > -3/7
Answer:
The value of y is y=15
Step-by-step explanation:
We have:
AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18
We define the isosceles trapezoid as it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.
Here AB = CD
6y-3 = 7y-18
Combine the like terms:
18-3 = 7y-6y
15 = y
It means the value of y is y=15....
Perpendicular line always have slopes that are negative reciprocals of one another. Mathematically,
m1*m2=-1
So to be perpendicular to the line given, let's rearrange it to the point slope form of a line...
3y=6x ?3 (not sure what you wanted to type there)
anyway isolating y by dividing both side by three will leave 2x where 2 is the slope.
So for the other line to be perpendicular, m*2=-1, m=-1/2, now we have:
y=-x/2 +b, we can now you the point given to solve for b
4=-2/2 +b
4=-1+b
b=5 so
y=-x/2 +5 or more neatly
y=(10-x)/2
