I don't think those two expressions would even be equal unless w = 0. You can't just add in a 2 from nowhere.
(7 cm)*(10 cm) = 70 cm^2
The area is the product of length and width.
Answer:

Step-by-step explanation:
We have given the equation y = 6 sin (x)
On differentiating both side 
As it passes through the point 
So 
Now the unit vector is parallel to the tangent so m will be 5.196
This passes through the point 
So unit vector will be 

Answer:

Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as

where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40



substitute

apply distributive property

see the attached figure to better understand the problem
Answer:
easy peasy,
the 'n' th term of any arithmetic sequence can be found with the following formula
=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)
all in this case would be,
a = 0
n = 100
d = +5
hence the 100th term would be,
=> 0 + (100 - 1) 5
=> 99 x 5
=> 495