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3 years ago

What is the domain and range of h(t)=cot t

Mathematics

1 answer:

NeTakaya3 years ago

7 0

Domain = R
Range = R .............

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-12 - 6p - (-2) combining like terms with negative coefficients

vlada-n [284]

- 12 - 6p - (-2) =

= - 12 - 6p + 2

= - 10 - 6p

= - 2(5 + 3p)

4 0

2 years ago

The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

$\boxed{(x-3)^2=4*\frac{3}{8}(y+2)}$

5 0

3 years ago

What shapes r these? I got the last one

Anuta_ua [19.1K]

Answer:

6 sides = hexagon

5 sides = pentagon

10 sides = decagon

6 0

2 years ago

Which statement best describes a nativist?

blagie [28]

Answer:

an American citizen who treated immigrants

nativist is someone who supported native americans.

3 0

3 years ago

Read 2 more answers

Please help me on this and I’ll give you 10 points for this because I really don’t understand it’s a water hopefully thank you s

maksim [4K]

I believe the answer is D because if you use the largest number in that group of numbers and divide that by 6 you get 6.6666 which is less than 7
Therefore the answer is D

6 0

2 years ago