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aly2008
21.01.2022 •
Mathematics
Find the number of straight lines passing through (2 , 4) and forming a triangle of area 16 cm² with the two coordinate axis !
You have to draw the figure by yourself ~
Thanks for your help •••
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Ответ:
Step-by-step explanation:
Since two sides lie on the x- or y-axis, let the side lengths are x and y.
The area is:
A = 1/2xyWe need to find x and y such that:
1/2xy = 16xy = 32The third side passes through the point (2, 4), which adds limitations:
x > 2 and y > 4The slope of the line is:
m = y/xIt is same as slope of the line with the point (2, 4):
m = (y - 4)/(x - 2)Solve the equation:
(y - 4)/(x - 2) = y/xxy - 4x = xy - 2y2y = 4xy = 2xSubstitute this into area equation:
xy = 322x² = 32x² = 16x = 4Then:
y = 8So the vertices are:
(0, 0), (0, 4), (8, 0)Ответ:
x>5
Step-by-step explanation:
5-5=0 this is wrong. 5.0002-5= is greater than zero.