Answer:
y= -3x +4
Step-by-step explanation:
If the lines are parallel, the slopes are the same
so if a line is parallel to y =3x-10, the slope is also m=3
using y= mx+b
y = 3x+b
we can pick any b but -10 because that would make it the same line
The Answers are B and C
Its B because 12 is MORE than twice as much as M. Meaning 140 is larger than 2*m
Its C because again it is MORE than twice as much as M. Meaning that 140 is larger than 2m.
Answers;B,C
Hope this helped!
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
Answer:
36 degrees for each angle.
Step-by-step explanation:
If you divide 180 by 5 (for each point in the star) you get 36 degrees.
The height of the pole at which the monkey is at the top is 10.2 feet.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Let h represent the height of the pole, hence using trigonometric ratio:
tan(23) = h/24
h = 10.2 feet
The height of the pole at which the monkey is at the top is 10.2 feet.
Find out more on Trigonometric ratio at: brainly.com/question/4326804
