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Fed [463]
3 years ago
13

Which series of transformations will not map figure H onto itself?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

(x + 0, y − 2), reflection over y = 1

Step-by-step explanation:

H will be shifted down 2 units and then reflected over y = 1, which maps H into itself

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Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Ksivusya [100]

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

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3 years ago
What is y=\dfrac{2}{3}x+4y=
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Answer:

12y+x-12=0

Step-by-step explanation:

If I'm not mistaken by the question, we have

x+4y=\dfrac{2}{3}x+4

Multiply through by the LCM of all the denominators to clear the fractions. Since we have only one fraction, we multiply through by its LCM (3)

3\timesx+3\times4y=3\times\dfrac{2}{3}x+3\times4

3x+12y=2x+12

Putting all terms on the LHS (left hand side) and evaluating,

12y+x-12=0

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