Answer:
x = -2
Step-by-step explanation:
since y is common in both equations, you can equate them to be equal
-2x² - 4x + 5 = 2x² + 4x + 5
4x² + 8x = 0
factor out 4x
4x(x + 2) = 0
divide both sides by 4x
x + 2 = 0
x = -2
Answer:
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Step-by-step explanation:
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If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor =
= 
= 0.2777. - So the red image is dilated by a scale factor of 0.2777 to produce the blue image.
Answer:
<em>The length of the actual ship is 125 meters.</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling for example, when representing geographic locations on a map.
A model ship is built to a scale of 1 cm: 5 m. This means that each centimeter of the model represents an actual length of 5 m.
The length of the model is 25 cm, thus the real ship has a length of 25*5 = 125 m.
The length of the actual ship is 125 meters.
