The art museum is 8 1/2 miles from Allison's house. Allison has ridden her bike 2/3 of the way there so far. how far has she gon
2 answers:
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Answer:
Translation and dilation.
Step-by-step explanation:
<em>Figure 1</em> shows Circles A (red) and B (blue) before any transformations.
<em>Step 1</em>. Translate the centre of circle A from (4,5) to (1,7).
The circles are now concentric <em>(Fig. 2)</em>.
Step 2. Dilate the radius of Circle A by a factor of 9/3.
r₁×9/3 ⟶ r₂, so every point of the dilated circle coincides with an identical point on Circle B <em>(Fig. 3). </em>
The translation, followed by a dilation with scale factor r₂/r₁, mapped Circle A onto Circle B, so <em>the two circles are similar</em>.
<h3>Answer: No, it is not a solution</h3>
Explanation:
Refer to the diagram below. The point (-4,3) marked in red is outside the blue shaded region. So it doesn't make both inequalities true, and therefore not considered a solution.
In contrast, a point like (-5,1) is a solution as it is in the shaded region.
Put another way, the set of all solution points must be below both the solid line and the dashed line. Points can be on the solid line, but must be adjacent to the blue shaded region. The fact (-4,3) is on the solid line doesn't count because its not below the dashed line.