First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).
Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.
The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.
So the equation is: y = 4/3 x + 2
Answer:
I'm not SUPER sure but, it only can exist where there is a region in a planetary system where liquid water might exist on the surface of a planet. That puts it in the "habitable zone" which is where it can exist.
Answer:
.9 or 90%
.1 or 10%
Step-by-step explanation:
E= Exam
P=Paper
E= .71
P= .45
E∩P=.26
A.) E∪P=?
E∪P= E+P-E∩P
.71+.45-.26= .9
B.) E'∩P' = (E∪P)'
(E∪P)' = 1-.9 = .1
Answer: Pick anyone that suits you
- 8 is subtracted from 3 times a number
- Thrice a number minus 8
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
1. Change 48 cm to mm, which will give you 480 mm
2. Divide 480 mm by 12 mm, that will give you 40
Therefore, Victor needs 40 books to make his desired height.