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3 years ago

What is every known number of \pi? If you have it please paste it in answer. :3

1 answer:

5 0

Search it up. There are entire websites dedicated to having millions of the digits of pi, for me to put all of the "known" ones would only be proven false after a website generates another thousand or so. If your teacher told you to do so rip fam

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Water_____at 32 degrees F.<br><br> (Fill in the blank)

Arturiano [62]

freezing point. 32 or below is freezing point.

7 0

2 years ago

Read 2 more answers

Which of the following equations is non-linear?

d1i1m1o1n [39]

D--because it has y^2 in the equation and to isolate y you have to take the square root, the graph is going to be curved rather than linear.

7 0

3 years ago

If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

4 0

2 years ago

there were 2,683 books sold at a bookstore this year. there were 1,317 more books sold last year. how many books were sold last

Nadya [2.5K]

Answer:

4,000

Step-by-step explanation:

you take this years total (2683)

and add how many more there was last year (1317)

then you get 4000!!

hope it helps

4 0

3 years ago

MODELING REAL LIFE A post-and-beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post-

Rainbow [258]

To find out if the triangle is a right triangle, we must check if the following equation is true:

$(15)^2+(20)^2=(25)^2^{}^{}^{}$

on the left side, we have:

$(15)^2+(20)^2=225+400=625^{}$

and on the right side, we have:

$(25)^2=625$

since on both sides we get 625, we have that the brace forms a right triangle.

7 0

1 year ago