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chubhunter [2.5K]
3 years ago
11

A value that does not change

Mathematics
1 answer:
alekssr [168]3 years ago
5 0
A value that does not change is a <span>Constant value </span>
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What is the range of the function y = StartRoot x + 5 EndRoot?
Aleks [24]

Answer: y≤0

Step-by-step explanation:

Looking at the question, I'm assuming the equation is y=\sqrt{x+5}.

To find the range if this equation, it would be best to know that the graph of a square root looks like. Knowing that x=-5, the graph starts at -5 and then increases slowly to the right. Since there are no restrictions to this equation, the graph goes towards infinity.

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Help again...its for math offering 15 points
Anettt [7]

Answer:

\tan \dfrac{\theta}2 = \dfrac{1}2

Step by step Explanation:

\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right]

         =\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2

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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for thi
EastWind [94]

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =\frac{-b}{2a}

Where 'a' is coefficient of t^{2} term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =\frac{-80}{2(-16)}

                                =-2.5

y-coordinate of vertex =-16(-2.5)^{2} +80(-2.5)

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

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Answer:

em i think the answer would be 44

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