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marin [14]
2 years ago
12

70 POINTS PLEASE HELP ASAP

Mathematics
2 answers:
Greeley [361]2 years ago
7 0

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Step-by-step explanation:

Gwar [14]2 years ago
6 0

Answer:

Yes

Step-by-step explanation:

Yes

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Answer:

A

Step-by-step explanation:

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When (3,-2) is reflected across the x-axis the resulting image point is:
tankabanditka [31]

<em>3,2</em>

Step-by-step explanation:

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In other words, you want to <u>change the sign of the y</u>.

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4 0
2 years ago
Find the midpoint of the segment with the given endpoints. ​(9​,9​) and ​(-1​,- 3​)
GenaCL600 [577]

Answer: (4, 3)

Step-by-step explanation:

The formula for coordinate of the mid point is given as :

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x_{1} = 9

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y_{2} = -3

Substituting the values into the formula , we have :

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5 0
2 years ago
1. The three salespeople for a local advertising firm are Sara, Kenny, and Leila. Sara sold $3350 in ads, Kenny sold $1368, and
Dominik [7]

Answer:

\text{Fraction of Sara sold }= \dfrac{1675}{2587}

\text{Fraction of Kenny sold }= \dfrac{684}{2587}

\text{Fraction of Leila sold }= \dfrac{228}{2587}

Step-by-step explanation:

The three salespeople for a local advertising firm are sara, Kenny and Leila.

Sara sold total ads = $3350

Kenny sold total ads = $1368

Leila sold total ads = $456

First we calculate total sale of all three = 3350 + 1368 + 456 = $5174

We need to find fraction of total sale with each person sell.

\text{Fraction of Sara sold }=\dfrac{\text{Sara total sold}}{\text{Total sale by all three}}

\text{Fraction of Sara sold }=\dfrac{3350}{5174}\Rightarrow\dfrac{1675}{2587}\approx 64.75\%

\text{Fraction of Kenny sold }=\dfrac{\text{Kenny total sold}}{\text{Total sale by all three}}

\text{Fraction of Kenny sold }=\dfrac{1368}{5174}\Rightarrow\dfrac{684}{2587}\approx 26.45\%

\text{Fraction of Leila sold }=\dfrac{\text{Leila total sold}}{\text{Total sale by all three}}

\text{Fraction of Leila sold }=\dfrac{456}{5174}\Rightarrow\dfrac{228}{2587}\approx 8.8\%

4 0
3 years ago
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