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3 years ago

12

How can you use a flashlight to make conic sections?

2 answers:

givi [52]3 years ago

5 0

If you hold it to an angle to a planar surface you will create ellipses....

Aleksandr [31]3 years ago

5 0

Answer:

Start with the flashlight parallel to the wall. If you incline it slightly away from the wall, the (conical) beam will still hit the wall and you'll get a hyperbola. It is only after the angle of the flashlight to the wall is greater than the angle of the light cone that the hyperbola vanishes at infinity.

Step-by-step explanation:

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Find the slope-intercept form of the equation that passes through the points (3, -4) and (1, 2)

quester [9]

Answer:

y = -3x + 5

Step-by-step explanation:

(y2-y1)/(x2-x1)

Plug coordinates into that

Then plug one of the coordinates into y = -3x+b to get b

3 0

2 years ago

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFra

Stels [109]

Answer:

Third option: $y= \frac{1}{4}x+2$

Step-by-step explanation:

<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is $y -4 = \frac{1}{4}(x -8)$ . What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>

<em> </em>The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation of the line in Point-Slope form:

$y -4 = \frac{1}{4}(x -8)$

You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.

Then, this is:

$y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2$

You can identify that the slope "m" is:

$m=\frac{1}{4}$

And the y-interecept "b" is:

$b=2$

7 0

3 years ago

Read 2 more answers

A gym membership is $100 sign-up fee and charges $20 a month thereafter. How much is the membership fee in a month?

trapecia [35]

Answer:

$120

Step-by-step explanation:

y = mx + b

The $100 sign up fee is a set amount, or the b value.

The $20 would be the m value since it the constant change, or the slope.

Thus, the equation would be y=20x + 100

The membership fee for 1 month would be --->

y= 20(1) +100

y= 20 + 100

y= $120

4 0

2 years ago

1.8×10^-2-3.9×10^-3 what is the answer

Alja [10]

The answer is 0.0141

3 0

3 years ago

Read 2 more answers

Does anyone know how to do this and if so can you please help me and explain how to do it, it’ll be appreciated thank you

dalvyx [7]

Answer:

13) $(5x)^{-\frac{5}{4}$ ⇒ $\frac{1}{\sqrt[4]{(5x)^5}}$

15) $(10n)^{\frac{3}{2}$ ⇒ $\sqrt{(10n)^3}$

Step-by-step explanation:

Given expression:

13) $(5x)^{-\frac{5}{4}$

15) $(10n)^{\frac{3}{2}$

Write the expressions in radical form.

Solution:

For an expression with exponents as fraction like

$(x)^{\frac{m}{n}$

the numerator $m$ represents the power it is raised to and the denominator $n$ represents the nth root of the expression.

For an expression with exponents as negative fraction like

$(x)^{-\frac{m}{n}$

We take the reciprocal of the term by rule for negative exponents.

So it is written as:

$\frac{1}{(x)^{\frac{m}{n}}}$

using the above properties we can write the given expressions in radical form.

13) $(5x)^{-\frac{5}{4}$

⇒ $\frac{1}{(5x)^{\frac{5}{4}}}$ [Using rule of negative exponents]

⇒ $\frac{1}{\sqrt[4]{(5x)^5}}$ [writing in radical form]

15) $(10n)^{\frac{3}{2}$

⇒ $\sqrt{(10n)^3}$ [Since 2nd root is given as $\sqrt{}$ in radical form]

3 0

2 years ago