The 100th term of the sequence is 2130.
<h3>How to calculate the value?</h3>
a3 = a + 2d = 93
a5 = a + 4d = 135
Compute both equations
(4d - 2d) = (135 - 93)
2d = 42
d = 42/2 = 21
a + 2d = 93
a + 2(21) = 93
a + 42 = 93
a = 94 - 42 = 51
100th term will be:
= a + 99d
= 51 + 99(21)
= 51 + 2079
= 2130
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Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = 
= 
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = 
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = = 
Simplify,
⇒ 
Therefore, the Equation of the line is y = 0.5x + 5.
Answer:
L(f(t)) = 
Step-by-step explanation:
f ( t ) = 10 cos ( 12t + 60°) u(t)
attached below is a detailed solution of the given problem
L(f(t)) =
Answer:
Slope = 4/3x; y-intercept = -1
Step-by-step explanation:
y + 1 = 4/3x
You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept
y + 1 = 4/3x
Subtract one from both sides
y + 1 - 1 = 4/3x - 1
y = 4/3x - 1
Now that we have the equation, you can now find the slope and y-intercept
y = mx + b; m is the slope and b is the y-intercept
So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1
