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Len [333]
2 years ago
15

I'm confusedWhat is the answer?​

Mathematics
1 answer:
forsale [732]2 years ago
6 0

If <em>c</em> > 0, then <em>f(x</em> - <em>c)</em> is a shift of <em>f(x)</em> by <em>c</em> units to the right, and <em>f(x</em> + <em>c)</em> is a shift by <em>c</em> units to the left.

If <em>d</em> > 0, then <em>f(x)</em> - <em>d</em> is a shift by <em>d</em> units downward, and <em>f(x)</em> + <em>d</em> is a shift by <em>d</em> units upward.

Let <em>g(x)</em> = <em>x</em>. Then <em>f(x)</em> = <em>g(x</em> + <em>a)</em> - <em>b</em> = (<em>x</em> + <em>a</em>) - <em>b</em>. So to get <em>g(x)</em>, we translate <em>f(x)</em> to the left by <em>a</em> units, and down by <em>b</em> units.

Note that we can also interpret the translation as

• a shift upward of <em>a</em> - <em>b</em> units, since

(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>)

• a shift <em>b</em> units to the right and <em>a</em> units upward, since

(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>) = <em>x</em> + (- <em>b</em> + <em>a</em>) = (<em>x</em> - <em>b</em>) + <em>a</em>.

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If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?
Sergio [31]

Answer:

\overline {R'S'}  = 3 {\overline {RS} }

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

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Therefore;

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Similarly;

The length of the segment, {\overline {R'Q'} } = 3 × The length of the segment, {\overline {RQ} }

By Pythagoras theorem, we have;

{\overline {R'Q'} }^2 = {\overline {R'S'} }^2 + {\overline {S'Q'} }^2

Therefore;

{\overline {R'S'} }^2  = {\overline {R'Q'} }^2  - {\overline {S'Q'} }^2 = \left ({3 \times \overline {RQ} } \right) ^2  - \left (3 \times {\overline {SQ} } \right) ^2 = 9 \times \left (\overline {RQ} }  ^2  -  {\overline {SQ} } ^2 \right) = 9 \times  {\overline {RS} }^2

\therefore \sqrt{  {\overline {R'S'} }^2} =  \sqrt{ 9 \times  {\overline {RS} }^2}= 3 \times  {\overline {RS} }

\overline {R'S'}  = 3 \times  {\overline {RS} }.

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2 years ago
What the answer to the question
ruslelena [56]

Answer:

c

Step-by-step explanation:

When we know two sides and the included angle, there is a formula we can use.

We know angle C = 35º, and sides a = 20cm and b = 19.5cm.

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Area =(½)ab sin C(angle)

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