Answer:
a) e(0,2)
b) 1
c) read below
d) read below
Step-by-step explanation:
Midpoint:
to calculate the midpoint e of a segment
e((x1+x2)/2, (y1+y2)/2)
so (-1+1)/2 and (3+1)/2
e(0,2)
Slope formula:
the slope of a straight line between two points is
so between e and B it's equal to (4-2)/(2-0) = 1
Condition for perpendicularity : slope(AC) = -1/slope(eB) = -1
so we calculate the slope of a straight line through A and C
(1-3)/1-(-1) = -2/2 = -1 so they are perpendicular
Area:
eB is the height of the triangle as it's perpendicular to the base, so applying the standard formula Area = (AC*eB)/2 we can find the area
Answer:
3/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-1)/(5-0)
m=3/5
A. The figure is a triangular pyramid. You can findits surface area by adding up the area of the three faces of the triangle and the area of the base. A derived formula also is used where the SA is equal to 12 times the perimeter of base times the slant height, added to that is the area of the base. The area of the square base is s^2. Its perimeter is 4s.
SA of Pyramid = 12*P*l + s^2
SA of Pyramid = 12*4s*l + 16^2
SA of Pyramid = 12*4(16)*(17) + (16)^2
SA of Pyramid = 11,008 square inches
b.) The formula for the SA of a cone is:
SA of cone = πr[r+√(h^2+r^2)]
SA of cone = π(3)[(3+√(8^2+3^2)]
SA of cone = 108.8 square inches
GCF= 1
FACTORED VERSION = (X-1) (2X+3)(X+2)
Answer:
150
Step-by-step explanation:
x/5=30
x=30*5
x=150
Hoped this helped!
