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lisov135 [29]
3 years ago
8

Please help with 3 math questions ( 50 points )

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer:

Step-by-step explanation:

1. Reflection over the x-axis: (x, y) → (x, -y)

ΔABC with A(5, 1), B(-2, 6) C(-3, 4), after a reflection along the x-axis becomes A'(5, -1), B'(-2, -6) C'(-3, -4)

2. Counterclockwise rotation of 90° about the origin: (x, y) → (-y, x)

ΔXYZ with X(1, 2), Y(9, 7) Z(10, 1), after a counterclockwise rotation of 90° about the origin the coordinates are X'(-2,1) Y'(-7,9) Z'(-1,10)

3.

Parallelogram WXYZ with W(2, -3), X(-5, -1), Y(-1, 2), Z(6, 0), has the image after a translation of (x, y) → (x – 5, y + 2) as

W'(2-5, -3+2), X'(-5-5, -1+2), Y'(-1-5, 2+2), Z'(6-5, 0+2)

W'(-3, -1), X'(-10, 1), Y'(-6, 4), Z'(1, 2)

The coordinates of W'(-3, -1)

See Graphs...

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Answer:

\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}

Step-by-step explanation:

Given expression : \sum_{n=10}^{15}(n+\frac{3}{n})

Solving further:

\sum_{n=10}^{15}(n+\frac{3}{n})

\Rightarrow \sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}

So,\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}

So, Option A is true

Hence the given expression is equivalent to Option A

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