For perpendicular lines, m2 = -1/m1; where m1 is the slope of line 1 and m2 is the slope of line 2.
m1 = (-4 - 2)/(4 - 2) = -6/2 = -3
m2 = -1/-3 = 1/3
Equation of the required line is given by: y - 4 = 1/3 (x - (-1))
y - 4 = 1/3 x + 1/3
y = 1/3 x + 1/3 + 4
y = 1/3 x + 13/3
The shape shown here is a triangular pyramid, because it has a triangular base and a pointy tip.
Answer:
Step-by-step explanation:
Use the FOIL method of multiplying binomials.
First term in each binomial: 
Outside terms: 
Inside terms: 
Last term in each binomial: 
Now, rearrange the terms correctly.
This is our final answer, since it can not be simplified any more.
50x513 is 25,650, 25,650x2 is 51,300
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.
