Answer:
B.
Step-by-step explanation:
B. The girl would have to use less force because she is using a simple machine, or a lever. The lever makes it easier to lift the rock because the rock is closer to the fulcrum.
Difference of 2 perfec squares is
(a^2)-(b^2)
if the exponents are both even and the coeficient (the number in front) are perfect squares, then it is difference t 2 perfect squares
first one
8 is not perfect square
2nd one
(4e^4)^2-(9g^2)^2
third
25 is odd, so it cannot be split up into 2 nice numbers
4th
(11m^9)^2-(3n^5)^2
Answer:
y = 3x + 1
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 3(0) + b
To find b, multiply the slope and the input of x (0)
1 = 0 + b
Now, add 0 to both sides to isolate b.
1 = b
Plug this into your standard equation.
y = 3x + 1
This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)
Hope this helps!
Answer:
i = 7.5
Step-by-step explanation:
(5-3i)+(10+5i)
(5+10)+(5i-3i)
15+2i
15=-2i
15/2-i
7.5=i
Answer:
67.5 units²
Step-by-step explanation:
We can break this problem down in two parts: The upper triangle and the lower trapezoid.
The upper triangle:
Use the formula 
to compute the area of the triangle. Base = 10 and Height = 7.
1/2 (10)(7)
1/2 (70)
=35 units².
The lower trapezoid:
Use the formula 
to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.
1/2 (10 + 3)(5)
1/2 (13)(5)
1/2 (65)
=32.5 units²
So, add the two areas of each shape:
35 + 32.5 = 67.5 units².
