Answer:
Mid point is: (2.8;4.9)
Step-by-step explanation:
To find midpoint of a line segment we can use the general equation:
Where the point of the line are: (x₁;y₁) and (x₂;y₂).
In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:
<h3>Mid point is: (2.8;4.9)</h3>
Answer:
- <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>
<u></u>
- average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
- average yearly salary of an individual whose final degree is a masters: x
- average yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
- the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
- combined, two people with each of these educational attainments earn $122 thousand:
equation (2): x + y = 122
3. Solve the system:
- x = 2y - 46 . . . equation (1)
- x + y = 122 . . . equation (2)
Substitute equation (1) into equation (2)
Solve for y:
- y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).
Subsitute the value on y in equation 1, to find the value of x:
- x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.
Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.
y = 25x / 5 is each function is an example of exponential growth or decay.
What does exponential growth look like in math?
- A typical illustration of exponential expansion is population increase. Take a population of bacteria as an example. It seems sense that the rate of population increase would be inversely correlated with the population's size.
- After all, the number of bacteria grows more quickly the more there are for them to reproduce.
y= 25/7(7/5) x
y = 25/5 x
y = 25x / 5
Learn more about exponential growth
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We develop the equation for each of the tracks that will be walked through by Jill and Lori.
Jill: y - 2 = ((2 - -4)/(4 - -2))(x - 4) ; y = x - 2
Lori: y - 6 = ((-4 - 6)/(4 - -1))(x + 1); y = -2x + 4
The intersection of these equation is (2,0).
For a triangle, there is a proven inequality<span> that states that</span><span>, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side
21 + 37 >= 15
58 >= 15
21 + 15 >= 37
36 >= 37
37 + 15 >= 21
52 >= 21
We can see that the second inequality doesn't comply, thus there is not such triangle.</span>
