Answer:
The two flavours of the new soft drink falls between 1.3372units and 12.6627 units
Step-by-step explanation:
Go through the attachment for a detailed explanation.
step 1
find the slope AB
A = (-3, -1) and B = (4, 4)
m=(y2-y1)/(x2-x1)------> m=(4+1)/(4+3)------> m=5/7
step 2
find the slope mBC
we know that
if two lines are perpendicular
then
the product of their slopes is equal to -1
so
mAB*mBC=-1-------> mBC=-1/mAB-----> -1/(5/7)-----> mBC=-7/5
step 3
with mBC and the point B = (4, 4) find the equation of the line BC
y-y1=m*(x-x1)-----> y-4=(-7/5)*(x-4)-----> y=-(7/5)*x+(28/5)+4---> y=-(7/5)*x+(48/5)
y=-1.4*x+9.6
therefore
the answer is
the equation of the line BC is
y=-1.4*x+9.6
see the attached figure
Answer:
Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
Step-by-step explanation:
Write
Let the number of months be represented as y
Apartment A has a $300 security deposit and costs $800 each month.
$300 + $800 × y
300 + 800y
Apartment B has a $900 deposit and costs $500 each month
$900 + $500 × y
900 + 500y
An inequality to determine when Apartment A will cost more than Aparment B :
Apartment A > Apartment B
300 + 800y > 900 + 500y
300 + 800y = 900 + 500y
Collect like terms
800y - 500y = 900 - 300
300y = 600
y = 600/300
y = 2 months
Therefore Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
Answer:
166 m^2
Step-by-step explanation:
The enclosing rectangle is 9m by 29m, so is 261 m^2. From that, the white space of 5m by 19m = 95 m^2 must be subtracted. The result is that the shaded area is ...
261 m^2 -95 m^2 = 166 m^2
The sum of angles within a pentagon is 540