Using Vieta's Theorem, it is found that c = 72.
<h3>What is the Vieta Theorem?</h3>
- Suppose we have a quadratic equation, in the following format:
The Theorem states that:
In this problem, the polynomial is:
Hence the coefficients are 
.
Since the difference of the solutions is 1, we have that:
Then, from the first equation of the Theorem:
Now, from the second equation:
To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978
Answer:
5.20 to the nearest hundredth.
Step-by-step explanation:
The altitude line bisects the base of the triangle to form 2 right angled triangles with hypotenuse = 6 and the base = 3.
So, by the Pythagoras theorem the altitude is calculated as follows:
6^2 = 3^2 + x^2
x^2 = 36 - 9 = 27
x = √27
= 5.20 to the nearest hundredth.
Answer:
x = -1.5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.2x + 1 = 1.6x + 3.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 0.2x on both sides: 1 = 1.4x + 3.1
- Subtract 3.1 on both sides: -2.1 = 1.4x
- Divide both sides by 1.4: -1.5 = x
- Rewrite: x = -1.5
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
- Multiply: -0.3 + 1 = -2.4 + 3.1
- Add: 0.7 = 0.7
The length of the rectangle would be 94m.
Answer:
=114
Step-by-step explanation:
