Answer:
Volume = (2890 and 5/8) inches^3
Step-by-step explanation:
Height = 12 and 1/2inches = 25/2
Width = 12 and 1/2inches = 25/2
Length = 6 inches > width = 6 + width
= 6 + (12 and 1/2) = 18 and 1/2
Length = 18 and 1/2 inches = 37/2
Volume of prism = length × breadth × height
Volume of rectangular prism = (25/2)×(25/2)×(37/2)
Volume of rectangular prism = (23125/8) inches^3
Volume of rectangular prism = (2890 and 5/8) inches^3
Answer:
288
Step-by-step explanation:
288+248=536
f(x)=((x-4)(x+3))/(x+3)
simpify
f(x)=x-4
see we eliminated x+3?
That is a hole
find the value of that hole
x+3=0
x=-3
input into simplified function
f(-3)=-3-4
f(-3)=-7
the hole (discontinuity) is at (-3,-7)
f(x)=x-4
where does it cross x axis?
0=x-4
4=x
xint is x=4 or (4,0)
yint is where x=0
f(0)=0-4=-4
yint is (0,-4)
basically
it is a line, f(x)=x-4 with a hole at
(-3,7)
with xint at (4,0) and yint at (0,-4)
Answer:
The answer is below
Step-by-step explanation:
a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:
x = (x₁ + x₂)/2; y = (y₁ + y₂) / 2
Since M(x, y) is the midpoint of AB, then the coordinates of M is:
x = (0 + 5) / 2 = 2.5; y = (1 + 0)/2 = 0.5
M = (2.5, 0.5)
b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.
Let O(x, y) be the center of gravity of triangle ABC, hence;
x = (0 + 5 + 4) / 3 = 3
y = (1 + 0 + 2) / 3 = 1
O = (3, 1)
