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max2010maxim [7]
3 years ago
9

Consider the absolute value function f(x)=-|x+2|-2 The vertex of the function is

Mathematics
2 answers:
natulia [17]3 years ago
4 0

Answer:

The vertex of the given function is (-2,-2).

Step-by-step explanation:

The given absolute function is

f(x)=-|x+2|-2         ..... (1)

The vertex form of an absolute function is

g(x)=a|x-h|+k        ..... (2)

Where, (h,k) is vertex of the absolute function.

From (1) and (2), we get

a=-1,h=-2,k=-2

Therefore the vertex of the given function is (-2,-2).

Black_prince [1.1K]3 years ago
3 0
(-2,-2)


Since it has a negative in front of the absolute value, the graph is a downward cone.
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Find angle D if angle B = 50
Mariana [72]
<h3>Answer:  80 degrees</h3>

============================================================

Explanation:

I'm assuming that segments AD and CD are tangents to the circle.

We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.

By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.

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Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.

Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.

We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.

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Here's what we have so far for quadrilateral DAEC

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Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees

A+E+C+D = 360

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Or a shortcut you can take is to realize that angles E and D are supplementary

E+D = 180

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This only works if AD and CD are tangents.

Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.

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Select the correct answer. Two exterior angles of a triangle measure 135° and 100°. What are the measures of the interior angles
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