Answer:
y=0.5x-7
Step-by-step explanation:
x-2y=8
2y=x-8
y=0.5x-4 m1=0.5
m1=m2=0.5 - the slope for parallel lines are equaly
y=m2x+b
-6=0.5*2+b
b=-7
y=0.5x-7
Answer:
90 different ways
Step-by-step explanation:
We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.
To solve this problem, we need to calculate a permutation of 10 choose 2.
The formula for a permutation of n choose p is:
So we have:
So there are 90 different ways of choosing a president and a vice-president.
Answer:
Average price = $3.185
Step-by-step explanation:
Given:
12 notepads = $4.20 each
25 folders = $0.80 each
3 calculators = $19.00 each
Find:
Average price
Computation:
Average price = Total cost / Total number of item
Average price = [(12)(4.20) + (25)(0.80) + (3)(19)] / [12 + 25 + 3]
Average price = [(50.4) + (20) + (57)] / [40]
Average price = [127.4] / [40]
Average price = $3.185
N would equal 28 since 60-32 is 28
Answer:
value of a.b = -4
Step-by-step explanation:
We need to find a.b
a= 4i-4j
b = 4i+5j
We know that i.i =1, j.j=1, i.j =0 and j.i=0
a.b = (4i-4j).(4i+5j)
a.b = 4i(4i+5j)-4j(4i+5j)
a.b = 16i.i +20i.j-16j.i-20j.j
a.b = 16(1) +20(0)-16(0)-20(1)
a.b = 16 +0-0-20
a.b = 16-20
a.b =-4
So, value of a.b = -4
