A line perpendicular to another occurs at the negative reciprocal of the slope of the original line. Why this is, I can further explain in the comments if you're interested. What is a reciprocal though? a reciprocal, if you're unfamiliar, is just the flipped form of it.
As an example, the negative reciprocal of 1/4 is -4/1. I multiplied 1/4 by a negative, and flipped the fraction.
So, what would the negative reciprocal of 3 be? well, you can imagine 3 to be 3/1 to help. so we multiply it by a negative, which gives us -3/1, and then we flip it, giving us -1/3. This is the slope of our unknown line. Because of this, we can mark out...well all of them haha. You need to double check your question and answers provided. With the info you've given me, none of your answers are correct. Let me know what happened if you can! if not, I would question your teacher, cause they messed up somewhere haha.
Answer:
$0.17
Step-by-step explanation:
If apples are $0.50 per pound and there are 3 apples in a pound, you can do $0.50 divided by 3 to find the cost per apple.
0.5 / 3 = 0.16666 which rounds to $0.17
Factored form: (-x-4) (x-6)
Standard form: y= −x^2 + 2x + 24
Zeros: -4, 6
The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38.
Answer:
Step-by-step explanation:
Write 34 in tens and units.
34 = 30 + 4
9(30 + 4)
9 * 30 = 270
9* 4 = 36
270 + 36 = 306
After awhile if your practice enough, you can do them in your head.