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Answer:
1520 yards
Step-by-step explanation:
Explanation:
Remember that
1
mile is
1760
yards, so
2
miles is
1760
⋅
2
, or
3520
yards.
If she has walked the track
5
times, then the total distance she has walked is
400
⋅
5
, or
2000
yards.
Do
3520 yards (
2 miles) minus
2000
yards, the distance Keisha has already walked.
3520 − 2000 = 1520
Answer:
Step-by-step explanation:
Rewrite this in standard quadratic equation form: x^2 - 7x + 6 + 8 = 0, or x^2 - 7x + 14 = 0. This does not factor easily, so I will use the quadratic formula to find the roots and then write out the factors based upon the roots:
The discriminant is b^2 - 4ac, which here is (-7)^2 - 4(1)(14) = -7.
Because the discriminant is negative, we know that there are two unequal, complex roots. They are:
-(-7) ± i√7 7 ± i√7
x = ----------------- = ---------------
2 2
One factor is (x - [1/2]{7 ± √7} )
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Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7
-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL
-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4
-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4
-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13
-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7
-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7
-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7
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Add 7 on both sides:
-----------------------------------------------
13 = 2y
-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2
-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
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