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1 year ago

Help Please Solve for y : | y | = 16 . y= ,

1 answer:

7 0

Y = 16, -16

explanation: the absolute value bars make the expression inside positive, if they were negative to begin with. so, a negative number like -16 becomes 16, and a positive number like 16 still stays the same

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If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

castortr0y [4]

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}$

$use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2$

$6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}$

7 0

3 years ago

HELP WILL MARK BRAINLIEST TO BEST ANSWER!!!!!!!!<br> I NEED ASAP

Bond [772]

Answer is B

Find perimeter then divide by 3 (because price is per 3 meters) then times by 500 to get the answer

4 0

3 years ago

Prove ABC~EDC ?

erastova [34]

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem

8 0

3 years ago

Evaluating expressions for the value of x 4.5x-12 x=2

Svetradugi [14.3K]

X = 2

4.5(2) -12

9 -12

= -3

Answer is -3

4 0

2 years ago

Can you please solve this please and thank you.

Lilit [14]

Answer:

The answer is 3

Step-by-step explanation:

It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B

4 0

2 years ago

Read 2 more answers

Help Please Solve for y : | y | = 16 . y= ____ , ____

Help Please Solve for y : | y | = 16 . y= ,