We can multiply both the numerator and denominator by ANY number (as long as you multiply both the numerator and denominator by the SAME number) to get an equivalent fraction
examples would be 2/12 (numerator and denominator multiplied by 2)3/18 (by 3)
4/24 (by 4) etc.
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.
9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b
so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
<span>x2 – 4x – 12 A) (x – 6)(x + 2)
x2 + 4x – 12 B) Prime
x2 – x – 12 C) (x – 4)(x + 3)
x2 – 7x – 12 D) (x – 2)(x + 6) i think this is the awnser:)</span>
There’s tutors for math i just asked a tutor for help lol
The inequality is a > 12, which means a is greater than 12. This means that we are looking for numbers that are greater than 12 to place into the solution set. Options A and B are incorrect because 10 and 11 are both numbers less than 12, respectively. Option D is also incorrect because the inequality specifies that the numbers in the solution must be greater than 12, not equal to it, so 12 is not a solution.
This leaves option C as the correct answer, because all of the solutions in the set (13, 14, and 15) are greater than 12.
Therefore, your answer is C.
Hope this helps!
