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rosijanka [135]
3 years ago
9

A photo of a painting measures 13 inches by 17 inches. The scale factor is 1/3. What size is the painting? A. 4.3 x 5.7

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

Answer:

The new size is  4.3 x 5.7

Step-by-step explanation:

The photo originally measures

13 inches x  17 inches

If we apply a scale factor of 1/3, this means that we multiply each size by one third

13 inches * (1/3)  = 4.333 in

17 inches * (1/3)  = 5.666 in

If we round up we get

4.3 in

5.7 in

The new size is  4.3 x 5.7

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where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto i
irina [24]

Answer:

An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to  reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.

5 0
3 years ago
Hey how do you get from standard form to vertex form?
vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

  1. send the constant term to other side of equal                 \mathbf{ax^{2}+bx=-c}
  2. divide the whole equation be coefficient of \mathbf{x^{2}}, this will give     \mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}
  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
  4. Make one fraction on the right side and compress the expression on the left side                                                                          \mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}
  5. rearrange the terms will give the vertex form of standard quadratic equation                                                                 \mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}

Follow the above procedure will give the vertex form.

(NOTE : you must know that \mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}. Use this equation in transforming the equation from step 3 to step 4)

8 0
3 years ago
1. When Steve woke up. His temperature was 102 F. Two hours
ANTONII [103]

Answer:

The final temperature is the sum of the initial temperature and the change in temperature.  The initial temperature is 102°F.  The change in temperature is -3°F.

Operation:

 

102°F + (-3°F) = (102 - 3)°F = 99°F

Step-by-step explanation:

8 0
3 years ago
There are two numbers, and one is 7 more than twice the other. The sum of the numbers is 43. What are the numbers? If x is less
chubhunter [2.5K]

Answer:

43-7=x

Step-by-step explanation:

5 0
2 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
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