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1 year ago

Solve for w and y w= y=

Mathematics

1 answer:

Contact [7]1 year ago

8 0

Answer:

w=√200 (or 14.14)

y=20

yea pretty simple its just the Pythagorean theorem and the fact that a triangle with equal base angles is isosceles triangle

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Multiply -1/2 c(4c -2) Please ASAP

nalin [4]

Answer:

-2c^2 + c

Step-by-step explanation:

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2 years ago

Which of the following is the complete list of roots for the polynomial function fx= (x^2

julia-pushkina [17]

6x3+49x2+126x+104 (I just simplified it, if it is incorrect I'm sorry I didnt understand what you were asking -,^-)

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3 years ago

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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.

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2 years ago

I need help: what is this?

givi [52]

Answer:

Step-by-step explanation:

first you have to do the 1+2 to get 3 then you divide 6 by 2 and get 3 then you multiply 3x3 to get 9!

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2 years ago

Alyssa buys a carton of 12 eggs for $1.80. Which is the cost per egg?

sesenic [268]

Answer:

B is the answer

Cost of each egg= 1.80/12=$0.15

Step-by-step explanation:

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2 years ago

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Solve for w and y w= y=​

Solve for w and y w= y=