The circumference of every circle is (pi) times (diameter).
The diameter is (2 x radius), so we can write
Circumference = (pi) x (2 x radius) .
The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:
(31.4 cm) = (3.14) x (2 x radius)
Divide each side by 3.14: (31.4 cm)/(3.14) = 2 x radius
Divide each side by 2 : (31.4 cm) / (2 x 3.14) = radius
5 cm = radius
Answer:
Both Lindsay and Sharon are wrong.
Step-by-step explanation:
When Lindsay was doing her problem, she put 100 on the bottom and 45 on the top, when it should have been the other way around.
Sharon would have been correct if she had used the right measuring unit. 2/5 of a milliliter should have been 2/5 of a liter.
Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - 
= - 
= - 5
product of roots = 
= 
= - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
Replace y in the second equation with the value of Y from the first equation:
-x - 3 = 5
Add 3 to both sides:
-x = 8
Multiply both sides by -1:
x = -8
The answer is:
(-8,3)
