The value of x from the solution is x > 6
<h3>What are inequalities?</h3>
Inequalities are defined as mathematical expression showing that both sides are not equivalent or equal to each other.
It is known for the comparison of two values, showing that one is less than, greater than, or not equal to another value.
The symbols for inequality are ;
- < is the 'less than' symbol
- > is the 'greater than' symbol
- ≤ is the 'less than or equal to'
- ≥ is the 'greater than or equal to'
Given the inequality;
8x – 6 > 12 + 2x
collect like terms
8x - 2x > 12 + 6
add or subtract like terms
6x > 18
Make 'x' the subject of formula
x > 18/6
x > 6
Thus, the value of x from the solution is x > 6
Learn more about inequality here:
brainly.com/question/25275758
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Answer:
Line LM
Step-by-step explanation:
First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.
Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.
To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.
Line LM -
Line NO -
Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.
<em>If you need help on calculating slope from two points, I'd suggest watching this video: </em><u>https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.</u>
Answer:
approx 6 units
Step-by-step explanation:
distance formula: d =
d =
d =
d =
d = which is 6.08
144=(x+7)^2 take the square root of both sides...
12=x+7 subtract 7 from both sides...
x=5
So the original was a 5m square.
...
255=WL and you are told that W=L+2 so the equation becomes:
255=(L+2)L
255=L^2+2L
L^2+2L-255=0
L^2+17L-15L-255=0
L(L+17)-15(L+17)=0
(L-15)(L+17)=0 Since L>0...
L=15yd, and since W=L+2, W=17yd so
length=15, width=17yd
<span>1 12 f(x) = g(x)
or 112*(</span>14x3 + 28x2 – 46x )= <span>2x + 7
and </span>112*(42 +56 – 46x )= <span>2x + 7
</span>112*(98 – 46x )= <span>2x + 7
</span>and 10.976- 5.152x=2x+7
and -5.152x-2x=7-10.976
we have -5.154x= -10.969
and x= 10.969/5154
Have fun