Answer: 2 7/15
Step-by-step explanation: First, you make sure you have the same denominator on both of the fractions.
4/5 turns to 12/15 and 1/3 turns to 5/15
After that, then you do 12/15 - 5/15, which is 7/15.
Now you do 3 - 1.
Your answer should be 2 7/15.
I hope this helps you and I hope you have a blessed day!
Answer: The pole is 17 feet long
Step-by-step explanation: If Matthew's shadow is 2 feet smaller than his actually size, the shadow of the pole will also be reduced. Since the pole's shadow is 15 feet long, adding 2 will give you its original size, 17 feet.
Firstly it's not a radical expression.
You can factorize the numerator x²+12x+36 = (x+6)²
Factorize the denominator 12x+72 = 12(x+6)
=(x+6)² / 12(x+6) , simplify. Answer = (x+6)/12
By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
<h3>How to solve a system of equations</h3>
In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:
x - y = 5 (1)
x² · y = 5 · x + 6 (2)
By (1):
y = x + 5
By substituting on (2):
x² · (x + 5) = 5 · x + 6
x³ + 5 · x² - 5 · x - 6 = 0
(x + 5.693) · (x - 1.430) · (x + 0.737) = 0
There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737
And the y-values are found by evaluating on (1):
y = x + 5
x₁ ≈ 5.693
y₁ ≈ 10.693
x₂ ≈ 1.430
y₂ ≈ 6.430
x₃ ≈ - 0.737
y₃ ≈ 4.263
By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
To learn more on nonlinear equations: brainly.com/question/20242917
#SPJ1
Answer:
circumference of circle = 2×radius of a circle.
hope it helps.
stay safe healthy and happy.
