Step-by-step explanation:The other 3 vertices are
A (3,1)
B (3,5)
C (7,1)
D (7,5)
Answer:
2x^3-8x^2+8x+12
Step-by-step explanation:
split them up
use distributive property
2x-6(x-2)
2x^2-4x-6x+12(x+1)
use distributive property again
2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12
simplify
2x^3-8x^2+8x+12
I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules
If you divide it by 2, then the answer is
x^3-4x^2+4x+6
Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Answer:
$20
Step-by-step explanation:
50% of Fundraising goal= 0.5 x $40
= $20
