(3,0)(0,4)
slope = (4 - 0) / (0 - 3) = -4/3
A perpendicular line will have a negative reciprocal slope. So our perpendicular line has a slope of 3/4
y = mx + b
slope(m) = 3/4
(-6,-5)....x = -6 and y = -5
now sub into the formula and find b, the y int
-5 = 3/4(-6) + b
-5 = -18/4 + b
-5 + 18/4 = b
-20/4 + 18/4 = b
-2/4 = b
so ur perpendicular line is : y = 3/4x - 2/4....or 3x - 4y = 2
and ur point (6,4) lies on the perpendicular line <===
Answer:
1 2/3 inches.
Step-by-step explanation:
Volume = area of the base * height so:
20 = 3*4 * h
h = 20/12
h = 1 2/3 inches.
Answer:
The general equation for a line (written in the slope-intersect form) is:
y = f(x) = a*x + b
Such that the line is already written in function notation.
Where a is the slope, and b is the y-intersect.
If a line passes through a point (x₁, y₁) and (x₂, y₂), the slope can be written as:
y = (y₂ - y₁)/(x₂ - x₁)
We know that the line in the graph passes through the points:
(-2, -1) and (2, 0)
Then the slope of the line will be:
a = (0 - (-1))/(2 - (-2)) = 1/4
Then the function for the line will be something like:
y = f(x) = (1/4)*x + b
Now we want to find the value of b.
Because we know that this function passes through the point (2, 0), this means that:
f(2) = 0 = (1/4)*2 + b
We can solve that for b:
0 = 2/4 + b
-2/4 = b
Then the function for the line is:
y = f(x) = (1/4)*x - 2/4
Answer:
A sphere
Step-by-step explanation:
A cross section of a three dimensional figure is the surface or intersection of the three dimensional figure and a plane, it is the shape obtained by cutting straight through the three dimensional figure
The shape of an inclined cross section of a cube can be a triangle however, he shape of a horizontal and inclined cross section of a sphere is a circle.
