Answer:
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1)
so it would be
11-(-1)/12--4)
which would be
12/16
to simplify that it is 3/4
Answer:
The height of the pyramid is 
Step-by-step explanation:
we know that
The volume of a square pyramid is equal to
we have
substitute and solve for h
Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
Answer:
9
x^
2
Step-by-step explanation:
18x4 – 27x3 – 36x2
<u>GCF :</u>
<em>Find the prime factors of each term in order to find the greatest common factor (GCF)</em>
= 9
x^
2
Answer:
4
Step-by-step explanation:
