Answer:
10cm
Step-by-step explanation:
First let's define variables a and x:
a = area of rectangle and square
x = side of square
Now let's create an equation to calculate a using the square and an equation to calculate a using the rectangle:
Using square: 
Using rectangle: 
Now we want to solve for x so let's combine the equations since they are both equivalent to a
Simplify
Solving this we get 10 and -3
Since it is impossible for a square to have a negative side value we can conclude that the value is 10cm
This can then be checked by plugging in 10 as x in our equations and seeing if we get the same a value:
Using square: 
Using rectangle: 
Answer:
48
Step-by-step explanation:
Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
Step-by-step explanation:
11)
d=√[(-2-(-3))^2+(3-10)^2]=√(-2+3)^2+(-7)^2
=√1+49=√50=7.07 approximately
12)
M (((-1)+(-7))/2 , (2+(-4))/2)=(-8/2 , -2/2)=(-4 ,-1)
