Answer:
The y-intercept is the point (0,-8)
see the attached figure
Step-by-step explanation:
we have

we know that
The y-intercept is the value of the function f(x) when the value of x is equal to zero
so
For x=0

therefore
The y-intercept is the point (0,-8)
see the attached figure to better understand the problem
Answer:
The rise is -5 the run is 4
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-5
4
=
-1.25
θ =
arctan(
ΔY
) + 360°
ΔX
=
308.65980825409°
ΔX = 2 – -2 = 4
ΔY = -1 – 4 = -5
Distance (d) = √ΔX2 + ΔY2 = √41 = 6.4031242374328
Equation of the line:
y = -1.25x + 1.5
or
y =
-
5
x
4
+
3
2
When x=0, y = 1.5
When y=0, x = 1.2
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I really hope this helps have a beautiful day
2arctan(2/5) = 44°
180° -44° = 136°
The angles are 44°, 136°.
Answer:
This is a geometric progresion that begins with 1 and each term is 1/3 the preceeding term
Let Pn represent the nth term in the sequence
Then Pn = (1/3)^n-1
From this P14 = (1/3)^13 = 1/1594323
5. The sum of the first n terms of a GP beginning a with ratio r is given by
Sn = a* (r^n+1 - 1)/(r - 1)
With n = 10, a = 1 and r = 1/3, S10 = ((1/3)^11 - 1)/(1/3 - 1) = 1.500