We have the following expression:
(x- (5/2)) ^ 2 = (13/4)
Let's rewrite the given expression:
x ^ 2 - 5x + 25/4 = (13/4)
x ^ 2 - 5x + 25/4 - 13/4 = 0
x ^ 2 - 5x + 12/4 = 0
x ^ 2 - 5x + 3 = 0
Answer:
the original equation given to Sam could have been:
x ^ 2 - 5x + 3 = 0
First find the factors of 20
1 & 20
2 & 10
4 & 5
-1 & -20
-2 & -10
-4 & -5
Now find the pairs that have a difference of 1
-4 & -5
4 & 5
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Converting to slope intercept form:-
5x - 4y = 4
-4y = -5x + 4
y = 5/4 x - 1 so the slope of the line = 5/4
Finding the line that passes through ( -8, 2) with the same slope:-
y - 2 = 5/4(x - -8) (Point-slope form)
y = 5/4x + 10 + 2
y = 5/4 x + 12 is the answer is slope intercept form
In standard form :-
4y = 5x + 48
5x - 4y = -48 is the answer is standard form
Answer:
No, Henry cannot form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of the lengths of two sides must be greater than the third side.
7 (first side) + 2 (second side) = 9
The sum of these two sides is not greater than the third side (9).
So, therefore, Henry cannot form a triangle.
