The y-coordinates are the same, so the length of this horizontal line segment is the difference between the x-coordinates.
Length = 7 - (-5) = 12 units
Theoretical probability (TP) is given by:
TP=[Number of favorable (desired) outcomes]/[Total number of possible outcomes]
From the information given:
Number of purple blocks=19
Total number of possible outcomes=125
thus;
TP=19/125
=0.152
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
A cross section is a shape formed by cutting an object using a plane. For this case, a cone is sliced parallel to the slant height so the cross section formed would be a plane with a U-like shape. From the image attached, the correct answer is the second option.
Hi there! The answer is B. it would be less steep.
The change of the function (in this case) influences the slope of the line. Since we've modified the slope from 5 to 3/4, the line will be less steep.