Runners race around a rectangular park during the city marathon. The length of the park is 6 miles. The width of the park is 7 m
2 answers:
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Answer:
(0, 1 ) and (,
)
Step-by-step explanation:
Given the 2 equations
x³ - xy = 0 → (1)
x + y = 1 → (2) ( subtract x from both sides )
y = 1 - x → (3)
Substitute y = 1 - x into (1)
x² - x(1 - x) = 0
x² - x + x² = 0
2x² - x = 0 ← factor out x from each term on the left side
x(2x - 1) = 0
Equate each factor to zero and solve for x
x = 0
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
Substitute these values into (3) for corresponding values of y
x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )
x = : y = 1 -
=
⇒ (
,
)
Answer:
The length of the hypotenuse is
Step-by-step explanation:
we know that
In a right triangle
Applying the Pythagoras Theorem
where
c is the hypotenuse
a,b are the legs of the right triangle
substitute the values
Simplify
Since there is no diagram this is how I did it. cross multiply and divide.
