Answer:
Step-by-step explanation:
Slope of a line passing through two points 
and 
is given by the formula,
Slope = 
Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,
Slope '
' = 
= 0
Therefore, slope of the line PQ parallel to the x-axis = 0
Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,
Slope '
' = 
= ∞
Therefore, slope of the line MN parallel to y-axis is undefined.
Since, angle between the x-axis and y-axis is 90°,angle at the intersection point between the lines parallel to x and y axis will be 90°.
These lines are perpendicular to each other.
30 x 5/6 = 25
The answer is 25 people
I hope this helped. Let me know if you have any other questions!
Answer:
R = 5% per year
Step-by-step explanation:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]
r = 0.05
Then convert r to R as a percentage
R = r * 100
R = 0.05 * 100
R = 5%/year
Summary:
The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.
Answer:
Maya, this is such a common question on here, so i'm very interested in what's difficult about this problem for you. Please comment about this. Below is the answer and how to find it.
Step-by-step explanation:
point P1 (5,35) in the form (x1,y1)
point P2(-6,-31) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-31-35) / (-6-5)
m = -66 / -11
they made it easy for you , huh
m = 6
use point / slope fomula, y-y1 = m(x-x1) and plug in one point, either would work, since i've already labeled it with point P1, let's use that point
y-35 = 6(x-5)
y-35 = 6x-30
y = 6x - 30 + 35
y = 6x + 5
Maya, this really is a very common question on here, I really am curious about what's tricky in the problem for you and many many others. please let me know in comments section, thanks MMM
