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Blizzard [7]
3 years ago
6

:)))))))))))))))) late hw help pls

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

16 miles

Step-by-step explanation:

If 1.5 inches is equal to 4 miles, it would also mean that  3 inches is equivalent to 8 miles, since 4*2=8 and 1.5*2=3. Since we need to find it for 6 inches, we just double the number again to get 6 inches = 16 miles. (3*2=6; 8*2=16)

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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
Urgent!! Math help!!!
andriy [413]

Answer:

17

Step-by-step explanation:

15*15+8*8=289

\sqrt{289}= 17

6 0
3 years ago
Read 2 more answers
What does x is greater than 5 mean
kotegsom [21]

Answer:

That  x is any number  bigger that 5 so 6 plus

Step-by-step explanation:

3 0
3 years ago
What is the distance between the points (–3, 5) and (2, –6)?
DENIUS [597]

the answer is C.12.1 units
4 0
3 years ago
Read 2 more answers
What is equivalent to (x+1) (x-2)(x+4)(3x+7)
marta [7]

Answer: 6x*9

Step-by-step explanation:

open parathesises to

x+1*x-3*x+4*3x+7

combine like terms

6x*9

you can’t simplify further so bam

hope i did this right and it helps :)

8 0
3 years ago
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