Answer:y=5x+8
Step-by-step explanation: the perpendicular slope is going to be the negative reciprocal of your given slope. In this case the perpendicular line has a slope of 5, because u flip -1/5 to make -5 and u negate -5 to make 5. This perpendicular slope passes through (-2,-2) and u find the y intercept like this: -2=(5(-2))+b. Therefore the y intercept is 8 and the perpendicular slope is y=5x+8
Answer: Second option.
Step-by-step explanation:
You need to use the following formula:
Where "B" is the area of its base and "h" is the height.
According to the data given in the exercise, you know that:
Therefore, knowing this values, you can substitute them into the formula shown before and then evaluate, in order to calculate the volume of thi right pyramid whose base is a regular hexagon.
Then, you get:
Answer: He actually rode 2 miles per hour on his trip
Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.
Time = distance /speed t will represent time, s is the speed: t = 30/s Use the rime it would have taken at the higher speed to create an equation:
t-12 = 30/s+8 replace the y with the 30/s
30/s -12 = 30/s+8
(s)(30/s -12 ) = (s)(30/s+8 ) Cross multiply to cancel denominators
(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s Simplify:
(-1)(-12s² -96s +240 ) =0 ==> 12s² +96s -240 divide all by 12
s² + 8s -20 = 0 Factor and solve for s
(s +10)(s -2) =0 s-2=0 S= 2
Proof:
30/2 = 15 hours for original trip at 2mph,
increase speed by 8mph 2 + 8 = 10mph
30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.
(Brainilest, please :-)
Answer:
The Answer is w - 982 = 922 because it whatever money he took from the 982 lead to 922
Step-by-step explanation:
10+25+15=50
25/50
I can be simplified.
The greatest common factor is 25.
25/25=1
50/25=2
So the answer is 1/2.
