This question has this set of answer choices:
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
Check the picture below. You can pretty much count the units off the grid for its width and length.
Answer:
y = -2x - 2
Step-by-step explanation:
Slope intercept form of equation is y = mx + c
c is intercept and m is slope
given that slope is -2
m = -2
thus, equation in slope intercept will be
y = -2x + c
The given line passes through (-1,0)
y = -2x + c
lets substitute y = 0 and x = -1 in the given equation
0 = -2*-1 + c
0 = 2 + c
c = -2
Thus, the complete slope intercept equation after using the value of c as -2
we have
y = -2x - 2 answer
First, get y by itself by adding 8 to both sides: y=-x+8
According to the equation, the slope is -1 and the y-intercept is 8 when we match it up with y=mx+b form.
Hope this helped!
Answer:
Step-by-step explanation:
The figure is made up of a square with side 4 cm and 3 semicircles of radius 2 cm.
A = area of square + area of 3 semicircles
A = (4 cm)^2 + 3 * (1/2) pi * (2 cm)^2
A = 16 cm^2 + (1/2) 12pi cm^2
A = (6pi + 16) cm^2