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Answer:</h2>
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Step-by-step explanation:</h2>
In this exercise we need to make a division and evaluate the new function at 
. so we have two functions, namely:
Therefore:
So:
e. 72.
Let x be the measurement of the 3rd side.
x should be greater that the difference of 2 sides
x should be less than the sum of 2 sides
20 - 15 < x < 20 + 15
5 < x < 35
We can assume that x = 35 the maximum measurement of the 3rd side.
Perimeter = 20 + 15 + 35 = 70. Maximum perimeter.
Among the choices, 72 is beyond the maximum, so it is not a possible perimeter of the triangle.
Answer:
Since it's a horizontal line the slope would be 0
Step-by-step explanation:
Horizontal Lines A horizontal line is a line whose equation is of the form =, where is a real number. All points that lie on the line have a -coordinate of . The slope of any horizontal line is zero, 0.
Answers:
Equation is 
Center is (-1, -2)
Radius = 5
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Work Shown:
center = (h,k) = (-1,-2)
radius = 5
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Explanation:
I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.
Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2
The last equation is in the form (x-h)^2 + (y-k)^2 = r^2
We can think of x+1 as x - (-1) to show that h = -1
Similarly, y+2 = y-(-2) = y-k to show that k = -2
The center is (h,k) = (-1,-2)
The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.
Part A
The first thing we must do for this case is to rewrite both expressions.
We have then:
1/2 (7x + 48) = (7/2) x + 24
- [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
Answer:
We note that the first expression is greater than the second for all values of x.
Part B:
A new expression that is greater than both written expressions is:
(7/2) x + 25
For all values of x, this expression is always greater.
Answer:
(7/2) x + 25
