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3 years ago

If two rays are opposite rays, then they have a common endpoint.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

3 0

The statement is true.

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y=-x-1

Step-by-step explanation:

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3 years ago

"Trigonometric Models" (50 POINTS) Is my graph right?

ch4aika [34]

Answer:

Yes, this graph is absolutely right for the function y = $2\sin(2x)-3$ .

Step-by-step explanation:

firstly we will calculate amplitude, period, phase shift, and vertical shift.

Use the standard form $a\sin(bx-c)+d$ to calculate the values of amplitude, period, phase shift, vertical shift.

here a = 2

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c = 0

d = -3

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= $\frac{2\pi}{2}$ = $\pi$

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3 years ago

QUESTION 16 What is the absolute value of -72?

11Alexandr11 [23.1K]

The absolute value of -72 is 72.

Absolute value is essentially just making the number given positive.

If the given number is already positive then the absolute value is the same as the original number

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Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4.

CaHeK987 [17]

Answer:

$y=-\frac{1}{16} x^2$

Step-by-step explanation:

Equation of parabola with focus at (0,-4) and directrix is $y=4$ .

We know that parabola is the locus of all the points such that the distance from fixed point on the parabola to fixed line directrix is the same.

The parabola is opening downwards.

Let any point on parabola is (x,y).

Distance from focus(0,-4) to (x,y) = $\sqrt{(x-0)^2+(y-(-4))^2}=|y-4|$

$\sqrt{(x-0)^2+(y-+4)^2}=|y-4|$

$(x-0)^2+(y+4)^2=(y-4)^2$

$(x)^2+(y+4)^2=(y-4)^2$

$x^2+(y^2+4y+4y+16)=y^2-4y-4y+16$

$x^2+y^2+8y+16=y^2-8y+16$

$x^2+16y^2=0$

$16y=-x^2$

$y=-\frac{1}{16} x^2$

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2 years ago

If two rays are opposite rays, then they have a common endpoint.​

If two rays are opposite rays, then they have a common endpoint.