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iris [78.8K]
4 years ago
5

The graph of the function y=x^2+2 is shown. Which equation will shift the graph of the function to the right 2 units?

Mathematics
1 answer:
jasenka [17]4 years ago
4 0
Y = (x-2)^2 + 2 will shift graph right 2 units .
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Line segment XY is tangent to circle Z at point U.
USPshnik [31]

Answer:

m\angle YUV=42\°

Step-by-step explanation:

The picture of the question in the attached figure

we have that

arc\ UV=84\° -----> given problem

so

m\angle UZV=84\°------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

ZU=ZV=radius

so

m\angle ZUV=m\angle ZVU -----> bases angle of the isosceles triangle

Remember that

The sum of the internal angles of any triangle must be equal to 180 degrees

so

m\angle ZUV+m\angle ZVU+m\angle UZV=180\°\\2m\angle ZUV+m\angle UZV=180\°

substitute and solve for m<ZUV

2m\angle ZUV+84\°=180\°\\m\angle ZUV=(180\°-84\°)/2=48\°

Find the measure of angle YUV

we have that

m\angle ZUV+m\angle YUV=90\° ------> by complementary angles

substitute the given value and solve for m<YUV

48\°+m\angle YUV=90\°\\m\angle YUV=90\°-48\°=42\°

3 0
3 years ago
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