Answer:
Each side is 35.78 mm
Step-by-step explanation:
A square would have 4 equal sides. Since area of a square is x^2, where x is one side, we can write:
x^2 = 1280
x = 35.78 mm
Each side is 35.78 mm
a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have
Evaluate the integral to solve for y :
Use the other known value, f(2) = 18, to solve for k :
Then the curve C has equation
b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:
The slope of the given tangent line 
is 1. Solve for a :
so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).
Decide which of these points is correct:
So, the point of contact between the tangent line and C is (-1, -3).
Answer: The percent of change is 25%
Step-by-step explanation:
$525 - $393.75 = $131.25
131.25 (amount of change)/525 ( original amount) x 100
= 25%
Answer:
We can take 2 plates , 3 plates or 6 plates.
Step-by-step explanation:
1 dozen = 12 numbers
Total number of cookies = 42
Each plate has to get atleast 7 cookies ,all the plates should have the same number of cookies and also the number of plates must be greater than or equal to 2.
- If we take 2 plates , there can be 21 cookies in each.
- If we take 3 plates , there can be 14 cookies in each.
- If we take 6 plates , there can be 7 cookies in each.
These are the 3 possible cases.
Since there cannot be broken pieces, no other combination is possible.
Answer:
We multiply by 2 and add 4
Step-by-step explanation:
To find the pattern, we find the slope
m = ( y2-y1)/(x2-x1)
m = ( 10-6)/(3-1)
m = 4/2
m =2
We are multiplying by 2
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Using the point (1,6)
6 = 2(1)+b
6 = 2+b
The y intercept is 4
y = 2x+4
We multiply by 2 and add 4
