Question

9.Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at (1,4) (4,5) and (2,0)

16. Find the interest that must be paid back for a loan of $1,500 at a rate of 11% simple interest for a term of 4 years

18. point e is located at (-7,5). if point e is reflected over the x-axis, what are the coordinates of point e

Answer 1

Answer:

result for 9.Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at (1,4) (4,5) and (2,0) 16. Find the interest that must be paid back for a loan of $1,500 at a rate of 11% simple interest for a term of 4 years 18. point e is located at (-7,5). if point e is reflected over the x-axis, what are the coordinates of point e

Perform a Dilation of 3 on point A (2, 1) which you can see in the graph below. Multiply the coordinates of the original point (2, 1), called the image, by 3. Image's coordinates = (2 * 3, 1 * 3) to get the coordinates of the image (6, 3).

Step-by-step explanation:

Answer 2

Transforming a triangle involves changing the position and/or size of the triangle

(9) Dilating a triangle

The coordinates of the triangle are given as: (1,4) (4,5) and (2,0)

The scale factor is given as 3

The image of the dilation would be the product of the coordinates of the triangle by 3.

$(1,4) \times 3 = (3,12)$

$(4,5) \times 3 = (12,15)$

$(2,0) \times 3 = (6,0)$

Hence, the coordinates after the dilation are (3,12), (12,15) and (6,0)

(16) Simple interest

The given parameters are:

$P =\ 1500$ --- the principal amount

$R =11\%$ --- the rate

$T = 4\ years$ --- time (in years)

The simple interest is calculated as:

$I = PRT$

So, we have:

$I = \ 1500 \times 11\% \times 4$

$I = \ 660$

Hence, the interest that must be paid is $660

(18) Reflection of point

The point is given as: (-7,5)

The rule of reflection over the x-axis is:

$(x,y) \to (x,-y)$

So, we have:

$(-7,5) \to (-7,-5)$

Hence, the coordinates of point e after reflection is (-7,-5)

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