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: 12n-10= -58
+10. +10 (add to both sides)
12n. = -48
÷12. ÷12 (isolate variable)
n. = -4
Answer:
-1 1/2
same as -1.5 but since you are dealing with fractions you should put it in fraction form unless told otherwise.
Answer:
Step-by-step explanation:
1 are = 100 m²
Assuming the ten squares are congruent, the area of each square is 160/10 = 16 are
16 are × 100 m²/are = 1600 m²
each side is √1600 = 40 m
Answer:
24 gallons
Step-by-step explanation:
4 quarts in a gallon. 96/4 = 24
I hope this helps!