Actually, the area of the square is 49 cm^2.
The length of one side is sqrt(49 cm^2) = 7 cm (answer)
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
1) (m² / 9) / (n² / m)
(m² / 9) × (m / n²)
m³ / (9n²)
2) (4 / y) / (2 / (yx))
(4 / y) × (yx / 2)
2x
3) (x² / y) / (1 / y)
(x² / y) × (y / 1)
x²
4) (3 / b) / (9 / a²)
(3 / b) × (a² / 9)
a² / (3b)
5) (x² / 16) / (16 / y²)
(x² / 16) × (y² / 16)
x²y² / 256
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
Step-by-step explanation:
Use the Pythagorean Theorem: a^2+b^2=c^2
We can set up the equation like this: 11^2+y^2=61^2
= 121+y^2=3,721
=y^2=3600
= y = 60
Answer:
y=-3
Step-by-step explanation:
-2(-25)+2y=44
Substitute -25 for x
Then multiply
50+2y=44
-50 -50
Subtract 50 on both sides
2y/2=-6/2
Divide 2 and 6
Answer is -3
