Answer:
<h2>8</h2>
Step-by-step explanation:
because CE is 8 and the space is equal to ET
Answer:
Number of months spent in first gym = 9
Number of months spent in second gym = 3
Step-by-step explanation:
Let she spent x months in a year at first gym and y months in a year at second gym
Now, there are 12 months in one year
⇒ x + y = 12
y = 12 - x .......(1)
Now, total money she spent in one year = $825
⇒ 75·x + 50·y = 825 .........(2)
Putting value of y from equation (1) in equation (2)
75·x + 50·(12 - x) = 825
⇒ 75·x - 50·x + 600 = 825
⇒ 25·x = 225
⇒ x = 9
Now, putting this value of x in equation(1)
⇒ y = 12 - 9
⇒ y = 3
Hence, number of months spent in first gym = 9
And number of months spent in second gym = 3
The coordinate of the midpoint of line segment LT is determined as: -12.
<h3>How to Find the Coordinate of the Midpoint of a Line Segment?</h3>
The midpoint of a line segment is the point where the distance between the endpoints of the line segment are equidistant. The distance from that midpoint to each endpoint is the same.
Given the following:
- Coordinate of point L is: -35
- Coordinate of point T is: 11
Distance from point L to T = |-35 - 11| = 46 units.
Half of 46 units would be: 46/2 = 23 units.
This means that, both point L and point T are 23 units from the midpoint of segment LT.
Thus, the coordinate of the midpoint would be 23 units from -35 = -35 + 23 = -12
Or 23 units from the midpoint to point T = 11 - 23 = -12
Therefore, the coordinate of the midpoint of line segment LT is determined as: -12.
Learn more about the midpoint of a segment on:
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The least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is (x-6)(x+1)(x-6).
In the given question
...(i)
First we will factor each denominator
So,
x²-5x-6
On splitting the factors of the above expression , we get
(x+1)(x-6) ....(ii)
x²-12x+36
On splitting the factors of the above expression , we get
(x-6)(x-6) ...(iii)
Substituting the value of (ii) and (iii) in (i) ,we get ;
As the LCM of denominator is the Least common denominator , we have
LCM of (x+1)(x-6) and (x-6)(x-6)
LCM=(x-6)(x+1)(x-6)
Hence the LCD is (x-6)(x+1)(x-6).
Therefore , the least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is (x-6)(x+1)(x-6).
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Answer:
I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)
Step-by-step explanation:
