To know whether the shape is the pre-image or the resulting shape, we need to look at its name.
In this instance, the name of the pre-image is GHIJ.
The resulting name of the shape would be G'H'I'J'.
An apostrophe is placed after every letter to signify that it is the resulting coordinate of the original.
Answer:
(31)(7.29)(4)
=903.96
Step-by-step explanation:
Answer:
32.5 square feet
Step-by-step explanation:
The formula for a trapezoid is a= 1/2*(b1+b2)*h. B1 and b2 would represent the two bases given and therefore doesn't matter what order you put them in. Plug in all values into the equation and you'll get 1/2*(5+8)*5 then 1/2*(13)*5. Next simplify to get 6.5*5 which then equates to 32.5.
Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
