Answer:
parallel
Step-by-step explanation:
x=4 and x=-6 are both vertical lines
Vertical lines are parallel (they both have undefined slopes)
3 inch by 5 inch
A = L * W.....A = 3 * 5....A = 15 inches^2
if it is enlarged by a scale factor of 2...
3 x 2 = 6
5 x 2 = 10
Area = L * W......A = 6 * 10...A = 60 inches^2
if reduces by a scale factor of 1/2..
3 x 1/2 = 3/2 = 1.5
5 x 1/2 = 5/2 = 2.5
A = L * W....A = 1.5 * 2/5....A = 3.75 inches^2
Answer:
Part A speed=96*2=192km/h
Step-by-step explanation:
Two parts, parts A and part B
Part A=200% more than B
Let part B=x
Part A=200 more than B
=2x
Speed ratio=2:1
Average speed of train=64km/h
Let Part A speed=2x
Part B speed=x
A:B=2:1
Total ratio =3
Speed in the part A can be calculated thus:
Totatl speed= ratio of speed in part A / total ratio
64=2x/3
192=2x
x=96km/h
Part A speed=96*2=192km/h
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
