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ELEN [110]
3 years ago
13

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the

origin as the center of dilation, what are the coordinates of the vertices of the image?
Mathematics
1 answer:
Andreyy893 years ago
8 0

Just multiply the order pairs by 3. For example,

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

(3, -1) times 3 = (9,-3)

(-2,-5) times 3 = (-6, -15)

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Answer:

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Step-by-step explanation:

The equation can be cast in the form f(x) = 0, and solved easily using a graphing calculator. That shows x ≈ -0.465 and x ≈ 1.014. The same calculator can iterate the roots to full calculator precision.

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The equation can be made a quadratic by the substitution ...

  z = e^(2x)

Then we have ...

  2\cosh(2x)-\sinh(2x)=4\\\\2\cdot\dfrac{e^{2x}+e^{-2x}}{2}-\dfrac{e^{2x}-e^{-2x}}{2}-4=0\qquad\text{use exponential identities}\\\\2z+2z^{-1}-z+z^{-1}-8=0\qquad\text{multiply by 2, substitute z}\\\\z^2 -8z+3=0\qquad\text{multiply by z}\\\\z=\dfrac{8\pm\sqrt{(-8)^2-4(1)(3)}}{2(1)}=4\pm\sqrt{13}\\\\x=\dfrac{\ln(z)}{2}=\dfrac{\ln(4\pm\sqrt{13})}{2}\approx\{-0465133,1.014439\}

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2 years ago
The table shows the number of students in a class who have allergies and/or have asthma:
vlabodo [156]

i think the answer is 6, sorry if im wrong ;-;

5 0
3 years ago
Read 2 more answers
Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 ​ start fraction, 7, divided by, 12, end fraction of an
Harrizon [31]

Total number of hours she schduled to play the game = 3\frac{3}{4} hours.

Let us convert mixed fraction into improper fraction

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Duration of each round = \frac{7}{12}.

In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.

\frac{13}{4} ÷ \frac{7}{12}

Converting division sign into multiplication flips the second fraction.

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Crossing out 12 by 4, we get 3 on the top of second fraction.

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3 years ago
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Maurinko [17]

Answer:

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Step-by-step explanation:

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This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

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The correct volume, using 2.2 m as the diameter, is ...

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dybincka [34]

Answer:

6

Step-by-step explanation:

Hope that helps

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