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:
Step-by-step explanation:
- The height (or altitude) is the perpendicular distance between the bases.
- In the case that the two bases have different lengths (a ≠ b), the height of a trapezoid h can be determined by the length of its four sides using the formula
where c and d are the lengths of the legs.
Keywords: height of trapezoid
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Answer: Since 10° is less than 90, we can express this in terms of a co-function. cos(θ) = sin(90 - θ) cos(10) = sin(90 - 10) cos(10) = sin(80)
Step-by-step explanation: Note that cos10° is periodic: cos (10° + n × 360°) = cos 10 degrees, n . There are more formulas for the double angle (2 × 10°), half angle ((10/2)°) as well as the sum, difference and products of two angles such as 10° and β.
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