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2 years ago

Write one complete sentence to describe a situation in which coordinate planes might be used in the real world .

Mathematics

1 answer:

nirvana33 [79]2 years ago

8 0

The war had started, i saw the coordinate planes in action, the plan has worked.

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Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex

siniylev [52]

Answer:

$\large \boxed{\sf \ \ \ p=-11 \ \ \ }$

Step-by-step explanation:

Hello,

$\alpha \text{ and } \beta \text{ are the roots of the following equation}$

$2x^2+6x-7=p$

It means that

$2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\$

And we know that

$\alpha= 2\cdot \beta$

So we got two equations

$2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1$

For $\beta =0, \ \ \alpha =0, \ \ p = -7$

For $\beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11$

I assume that we are after two different roots so the solution for p is p=-11

b) $\alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1$

So a quadratic equation with the expected roots is

$x(x-1)=x^2-x$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

2 years ago

Answer this with the whole chart filled in for more points and brainliest

kiruha [24]

(-5,7) Quadrant 2
(5,-18) Quadrant 4
(10,6) Quadrant 1
(-6,-4) Quadrant 3
(-2,6) Quadrant 2
(2,-6) Quadrant 4
(-10,-13) Quadrant 3
(-4,0) x axis
(0,5) y axis

3 0

2 years ago

john had a ribbon that was 1 1/2 meters long. he used 2 pieces that were each 1/3 of that length. how much ribbon did john use

dimulka [17.4K]

Of means multiplication. So the question is 1/3 X 1 1/2. First make 1 1/2 improper: 3/2. Then multiply the numerators (top numbers) and denominaters (bottom numbers): 1x3=3, 3x2=6, =3/6. Now simplify 3/6=1/2. Then multiply that by 2, since he used 2 pieces: 1/2x2=1. John used 1 meter :)

5 0

2 years ago

Which one is it plsss help

anzhelika [568]

Answer:

You are correct it is c

Step-by-step explanation:

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2 years ago

What is the area of the figure below?

mr_godi [17]

The answerr is 12 square units