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MaRussiya [10]
2 years ago
12

This coordinate plane shows the journey of a plane between two cities. The journey starts from City A, indicated by a green poin

t, and ends in City B, indicated by a red point. In which quadrant did the journey start and in what quadrant did it end?
A. Started in Quadrant III and ended in Quadrant I.
B. Started in Quadrant I and ended in Quadrant II.
C. Started in Quadrant II and ended in Quadrant IV.
D. Started in Quadrant I and ended in Quadrant III.​

Mathematics
1 answer:
grandymaker [24]2 years ago
6 0
<h3>Answer:  Choice C</h3>

Started in Quadrant II and ended in Quadrant IV.

==========================================================

Explanation:

Refer to the diagram below. It shows how the four quadrants are labeled using roman numerals. We start in the upper right corner (aka northeast corner) and work counterclockwise when labeling quadrant I, II, III, and IV in that order.

The green point A is located in quadrant II in the northwest. Meanwhile point B in red is in the southeast quadrant IV.

Therefore, we started in <u>quadrant II</u> and ended in <u>quadrant IV</u> which points us to <u>choice C.</u>

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What 2 numbers add to get 2 and multiply to 4
rusak2 [61]
Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x=\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a} so

1x^2-2x+4=0
a=1
b=-2
c=4
x=\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}
x=\frac{ 2+/-\sqrt{4-16} }{2}
x=\frac{ 2+/-\sqrt{-12} }{2}
we have \sqrt{-12} and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x=\frac{ 2+/-2\sqrt{-3} }{2}
i=\sqrt{-1}
x=\frac{ 2+/-2i\sqrt{3} }{2}
x=1+/-i\sqrt{3}
x=1-i\sqrt{3} or x=1+i\sqrt{3} (those are the 2 numbers)

 





6 0
3 years ago
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What is the completely factored form of x^4y-4x^2y-5y
AnnZ [28]

Answer:

y(x^2+1)(x^2-5)

Step-by-step explanation:

Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.

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To further factor the expression break the polynomial into two binomials.

To factor into two binomials, find factors that multiply to -5 and add to -4.

-5 and 1 are factors and these make the binomials (x^2+1)(x^2-5).

The final factorization is y(x^2+1)(x^2-5)

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nikdorinn [45]

Answer:

I just finished the test with an 82. Here are the answers

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6 0
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Answer:

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Alternatively we could do 60÷12 to get 5 then do 3×5 to get 15

Step-by-step explanation:

3 0
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