Answer:
x = -4037/127
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
14x + 18 + x = -112(x + 36) + 13
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -112: 14x + 18 + x = -112x - 4032 + 13
- Combine like terms: 15x + 18 = -112x - 4019
- Add 112x on both sides; 127x + 18 = -4019
- Isolate <em>x</em> term: 127x = -4037
- Isolate <em>x</em>: x = -4037/127
Answer:
15.98
Step-by-step explanation:
∑₁¹⁰
We have to use the formula of sum of a G.P. series with common ratio r < 1.
If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by
(Answer)
Answer:
(8, -22)
Step-by-step explanation:
The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.
If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).
Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.
To determine the solution of the quadratic equation, use the quadratic formula which states that,
x = ((-b +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
x = <span>((-14 +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. </span>
The length of the other two sides is 10 and 35 respectively.
<h3>What is a ratio?</h3>
A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.
From the given information:
- The sides of the triangle = 2:7:8
- The total sides of the triangle = 2+7+8 = 17
We are being told that the longest side is the triangle is equal to 40.
i.e.



x = 85
Now for the other two sides 2 and 7, their length is as follows.


Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.
Learn more about ratios here:
brainly.com/question/2328454