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Ksenya-84 [330]
3 years ago
9

Pllllllease help me asap

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer & Step-by-step explanation:

When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

slope=\frac{y_2-y_1}{x_2-x_1}

Now, let's use this equation to solve for the rate of change of each question.

<u>Problem 1:</u>

Slope=\frac{2-\frac{4}{3}}{0-(-1)}\\\\Slope=\frac{\frac{2}{3}}{1}\\\\Slope=\frac{2}{3}

<em>The rate of change of this equation is 2/3</em>

<u>Problem 2:</u>

<u></u>Slope=\frac{4-2}{1-0}\\\\Slope=\frac{2}{1}\\\\Slope=2<u></u>

<em>The rate of change for this equation is 2</em>

<u>Problem 3:</u>

<u></u>Slope=\frac{10-4}{2-1}\\\\Slope=\frac{6}{1}\\\\Slope=6<u></u>

<em>The rate of change for this equation is 6</em>

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Which sequence of transformations produces R’S’T’ from RST?
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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

6 0
3 years ago
Please answer this question fast in 2 minutes
Dafna1 [17]

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Step-by-step explanation:

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2/3 (B)

Step-by-step explanation:

The y values increase by 2 every time and the x values increase by 3. The rule for slope is rise(y)/run(x) so you get b, 2/3

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This is a function because each input has exactly one output ❤️
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Suppose that angle P = 3x + 14 and angle Q = 3x - 27. If these angles are supplementary, angle Q would need to be ___ degrees.
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Q = 69.5 degrees

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