2 years ago

The ordered pair (22, -45) is located in which quadrant of a coordinate plane?

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

3 0

Answer:

where is the graph

Step-by-step explanation:

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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.

mojhsa [17]

Answer:

$a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216$

Step-by-step explanation:

Use formula

$(u+v)^3=u^3+3u^2v+3uv^2+v^3.$

Hence,

$(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.$

This expression is equal to

$x^3-18x^2+24bx-c,$

so we can equate the coefficients at powers of x:

$x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.$

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The transformation would be a vertical translation 4 units down and a horizontal translation 2 units left.

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Rama09 [41]

It would be 5 because 5+4=9 and 9>8 (9 is greater than 8)

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2 years ago

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vladimir1956 [14]

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2 years ago

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Find the value of x<br> DUE SUNDAY I NEED ASAP

Leto [7]

Answer:

x=43°

Step-by-step explanation:

The angles are adjacent and create a straight line so their sum is 180°.

(x+6)°+(3x+2)°=180°

x°+6°+3x°+2°=180°

4x°+8°=180°

4x°=172°

x=43°

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2 years ago

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