The coordinates of point a (5,-3). point a is reflected across the x-axis to obatin point

1 answer:

8 0

The answer is (5,3) because when a point gets reflected across the x-axis its x coordinate stays the same but its y coordinate switches sign

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36 increased by twice x is

ICE Princess25 [194]

36 + x would be your answer. When something is 'increased', you are adding to it. Such as saying 47 increased by -5x is the same as 47 + (-5x).
If this wasn't the answer you were looking for, let me know. For now, I hope this helped:)

4 0

3 years ago

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A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

$T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s$

The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$

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3 years ago

What is the horizontal asymptote of f(x)=-2x/x+1 A.-2 B.-1 C.0 D.1

Mrrafil [7]

A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case,
$\lim_{x \to \infty} \frac{-2x}{x+1} = \lim_{x \to \infty} \frac{-2x}{x(1+ \frac{1}{x} )}\\
=\lim_{x \to \infty} \frac{-2}{1+ \frac{1}{x} }\\
= -2
$

Thus, the horizontal asymptote of f(x) is y = –2.

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3 years ago

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How to know if a number is proportional

Dafna1 [17]

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. To see this process in action, check out this tutorial!

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2 years ago

2. solve. r/4 ≥ 12 3.-3y ≥-18

Korvikt [17]

Simplify it or what if so then the answers would be r>48
y<(line under it)6

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3 years ago