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sergeinik [125]
2 years ago
15

Write an equation of the line parallel to the given line that contains C. C(0,3) y = -2x +1

Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0
Paralell has same slope
y=mx+b
m=slope

y=-2x+b is equaiton

inus (0,3)
x=0
y=3
3=-2(0)+b
3=b

the equation is y=-2x+3
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3 1/4 gallons or 3.25 gallons

Step-by-step explanation:

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Which sequence of transformations produces R’S’T’ from RST?
inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

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3x² + 2x + 2 + 4x² + 5 Simplify​
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Answer: 7x^2 + 2x + 7

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Combine likes terms that have alike variables and alike exponents.

(3x^2 + 4x^2) + (2x) + (2 + 5)

7x^2 + 2x + 7

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