Slopes of perpendicular lines are opposite reciprocals of each other. The slope of the given equation (which is in slope-intercept form) is 1, the invisible coefficient of x. The opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.
Hope this helps.
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
3(6d−24)=6(12+3d)
Step 1: Simplify both sides of the equation.
3(6d−24)=6(12+3d)
(3)(6d)+(3)(−24)=(6)(12)+(6)(3d)(Distribute)
18d+−72=72+18d
18d−72=18d+72
Step 2: Subtract 18d from both sides.
18d−72−18d=18d+72−18d
−72=72
Step 3: Add 72 to both sides.
−72+72=72+72
0=144
Answer:
There are no solutions.
-4x/5≥1/10
-8x≥1
x≤-1/8
x∈(-∞;-1/8]
Answer: 15/32
Step-by-step explanation:
The data that we have is:
5/8 of the vegetable sold where green.
of theses 5/8, 3/4 were string beans.
Then the 3/4 is applied to the 5/8 of green vegetables.
Then the fraction (of the total number of vegetables) that were string beans was:
F = (3/4)*(5/8) = (3*5)/(4*8) = 15/32
