Answer:
Maria did her job properly. Both gears are perpendicular.
Step-by-step explanation:
Recall that given vectors a and b, they are perpendicular if and only if 
=0. If 
. Then 
.
IN our case a=(5,-1,2) and b) (1,-3,-4). So,
So both gears are perpendicular.
If you ask 100 people and 60 say they are students, then you would assume that 60/100 people in town as a whole are students. To estimate the non-student population, you would infer that the other 40 are not students, thus making the non-student to student ratio 40:60 or 2:3 when simplified. This means that for every 2 non-students, there are 3 students. If we multiply 2000 by this 2:3 ratio, we would see that 2/3*2000 = the non-student population.The non-student population is estimated at 1,333.
Answer:
f(x) = 52
Step-by-step explanation:
f(x) does the same things as y, so when you get your answer, think of it as the value for y when x = - 4
The second thing you should know is that wherever you see an x on the right, you put in - 4
Let x = - 4
y = 2x^2 - 3x + 8
y = 2(-4)^2 - 3(-4) + 8
y = 2*16 - (-12) + 8
y = 32 + 12 + 8
y = 52
Be careful how you hand - 3x when -4 is put in for x. -3(-4) = 12 not - 12
f(-4) = 52
Answer:
18x - 36
Step-by-step explanation:
In an equilateral triangle the 3 sides are congruent, then
perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms
= 18x - 36
Answer:
45ft squared
Step-by-step explanation:
you multiply 3 by the radius which is 15
that gives you a total of 45
