Answer:
The numbers for which the given property hold true are <em>12 </em>and <em>-7</em>
Step-by-step explanation:
Let the number be 
.
As per the given statement:
Square of the number (
) is 84 more than five times of the number (
).
Writing in the equation form:
To find:
All the numbers for which above equation holds true.
Solution:
Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.
It is a quadratic equation(i.e. maximum power of is 2) so it will have 2 solutions i.e. 2 values of for which the above equation will hold true.
Let us factorize the equation.
So, the numbers for which the given property hold true are <em>12 </em>and <em>-7</em>.
A Because whenever you’re adding integers that have the same thing you keep the same signs in at the absolute value of each number
25 out of 65 people are wearing red, if there are 65 people at the party and only 25 are wearing red you would find the percentage by dividing 65 by 25 which equals to 2.6%
i hope this is correct im not great at math but i hope this helps
1.7) < 7 and < 8 form a linear pair....which means, when added, they equal 180 degrees. So if < 7 = 61, then < 8 = (180 - 61) = 119 <=
1.8) angles that are supplementary will add up to 180. So if one of the angles is 38, then the other one is (180 - 38) = 142 <==
1.9) < 3 = < 5 (vertical angles are congruent)
1.10) < 2 = < 8 (vertical angles are congruent)
1.11) < 7 = < 1 (vertical angles)
1.12) < 6 = < 4 (vertical angles)
By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
<h3>How to determine the equation of a line parallel to another line</h3>
In accordance with the analytical geometry, two lines are <em>parallel</em> when they share the <em>same</em> slope (m) but <em>different</em> intercepts (b). <em>Linear</em> functions are usually are described by the following form:
y = m · x + b (1)
Where:
- x - Independent variable
- y - Dependent variable
Based on the given information, we conclude that g(x) has a slope of -4/17. Lastly, we use (1) and the given point to determine the intercept of the function:
27 = -(4/17) · (-1) + b
b = 455/17
By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.
To learn more on linear functions: brainly.com/question/21107621
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