Answer:
what is it?
Step-by-step explanation:
Answer:
7.a) 5
7.b) 1/2
8. 1
Step-by-step explanation:
7.
a)
Read the points on the graph (0, 0) and (1, 5).
slope = (5 - 0)/(1 - 0) = 5/1 = 5
b)
read the points on the graph (0, 0) and (4, 2).
slope = (2 - 0)/(4 - 0) = 2/4 = 1/2
8.
Points (1, 4) and (5, 8)
slope = (8 - 4)/(5 - 1) = 4/4 = 1
Answer:
The slope parallel to the line that contains side WV is 1.
Step-by-step explanation:
- The slope of parallel lines is also same.
- The product of perpendicular lines is -1.
Slope formula:
The slope of a line by joining two points (x₁,y₁) and (x₂,y₂) is
Rectangle TUVW is on a coordinate plane at T(a,b), U(a+2,b+2),V(a+5,b-1) and W(a+3,b-3).
Here,x₁=a+3, y₁=b-3, x₂=a+5, y₂=b-1
Then the slope of line WV is
=1
Since the slope of parallel sides is always equal.
Then the slope parallel to the line that contains side WV is 1.
Answer:
20 inches
Step-by-step explanation:
Circles dont have vertices so if its 20 inches the area is 20 inches
Answer:
Step-by-step explanation:
Alexa earns $33,000 in her first year of teaching and earns a 4% increase in each successive year. This means that for each year, her income is 104% of the previous year. So the rate of increase is 104/100 = 1.04. This rate is in geometric progression. The formula for the sum of n terms of a geometric sequence is expressed as
Sn = a(r^n - 1)/r-1
Where
Sn is the nth term
a is the first term
n is the number of terms.
r is the rate or common ratio
From the information given,
a = 33000
r = 1.04
The formula for Alexis total earning over n years will be
Sn = 33000(1.04^n - 1)/(1.04 - 1)
Her earnings for the next 15 years would be
S15 = 33000(1.04^15 - 1)/(1.04 - 1)
S15 = 33000(0.8009) / 0.04
S15 = $668167.50