Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.
Answer:
There are none.
Step-by-step explanation:
<u>No calculus involved:</u>
The line, in slope-intercept form, has equation 
, ie is always decreasing (easy to spot applying the definition)
Meanwhile, 
is always increasing over its domain.
At no point the tangent will be decreasing.
<u>Let's use calculus</u>
We are to solve the equation 
which has no real solutions.
7 to the 10 power would be 70
If we translate the facts into location equations, xM=Mona's location, xL=Lina's location, then we get:
xM(t) = 300t
xL(t) = v*t - 1000
xM(10)=xL(10)
Where v is Lina's speed we have to find.
Plugging them all together gives:
300*10 = 10v - 1000
Which can be solved:
3000 + 1000 = 10v
4000 = 10v
v=400
Lina should skate at 400 feet per minute!
To solve:
1) Divide both sides by 100
100x/100 = 265/100
x = 2.65
