Answer:
Step-by-step explanation:
Looking at the given graph, the slope of the line is expressed as
Slope = (y2 - y1)/(x2 - x1)
y2 = 19.5
y1 = 9.5
x2 = 6
x1 = 1
Slope = (19.5 - 9.5)/(6-1)
Slope = 10/5 = 2
The successive terms is increasing by 2
The formula for the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a is the first term of the sequence
n is the number of terms in the sequence.
d is the common difference.
From the information given,
a = 9.5
Tn = an
d = 2
The explicit rule for the arithmetic sequence will be
an = 9.5 + 2(n-1)
Answer:
y+1=3(x-4)
Step-by-step explanation:
Hi there!
We are given a slope of 3 and a point (4,-1).
We need to find the equation of the line in point-slope form
Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point
We have all of the needed information to substitute into the formula
First, let's label the values of everything to avoid any confusion
m=3
x1=4
y1=-1
now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*
y--1=3(x-4)
simplify
y+1=3(x-4)
That's it!
Hope this helps :)
Y=-2x+200 hope this helps
Answer:
Step-by-step explanation:
5x + y = 9
-10x + 7y = 18
10x + 2y = 18
-10x + 7y = 18
9y = 36
y = 4
5x + 4 = 9
5x = 5
x = 1
(1,4)
answer is D
Answer: 22.6°
Approximately: 23°
Step-by-step explanation:
Sin B = Opp/Hyp
Sin B = 5/13
Sin B = 0.3846
Inverse of Sin B
B = 22.6°
Approximately: 23°
