<em>Hi there!</em>
<em>~</em>
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<em>Distribute the Negative Sign:</em>
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<em>Combine Like Terms:</em>
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<em>Answer : </em>
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<em>Hope this helped you!</em>
Answer:
y =
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)
m =
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
The line crosses the y- axis at (0, 2) ⇒ c = 2
y =
x + 2 ← equation of line
Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
Answer:
the answer is 35.0° pls thank :)
Answer:
Step-by-step explanation:
a).
= ![\frac{5}{3}\pm \frac{\sqrt{-4}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%5Cpm%20%5Cfrac%7B%5Csqrt%7B-4%7D%7D%7B3%7D)
= ![\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%5Cpm%5Cfrac%7B2%5Csqrt%7B%28-1%29%7D%20%7D%7B3%7D)
=
[Since, i =
]
b).
= ![\frac{10}{2}\pm \frac{\sqrt{-16}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B2%7D%5Cpm%20%5Cfrac%7B%5Csqrt%7B-16%7D%7D%7B2%7D)
= ![5\pm \frac{4\sqrt{-1}}{2}](https://tex.z-dn.net/?f=5%5Cpm%20%5Cfrac%7B4%5Csqrt%7B-1%7D%7D%7B2%7D)
= 5 ± 2i [Since, i =
]
c).
= ![-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B6%7D%5Cpm%20%5Cfrac%7B%5Csqrt%7B-144%7D%7D%7B6%7D)
= ![-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B6%7D%5Cpm%20%5Cfrac%7B12%5Csqrt%7B-1%7D%7D%7B6%7D)
= ![-\frac{1}{2}\pm 2\sqrt{-1}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%5Cpm%202%5Csqrt%7B-1%7D)
=
[Since, i =
]