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3 years ago

Explain why any two horizontal lines are parallel

Mathematics

2 answers:

Alexandra [31]3 years ago

8 0

Since both lines are horizontal, they don't intersect, therefore they are parallel because they are next to each other.

MariettaO [177]3 years ago

7 0

Because two horizontal lines never intersect.

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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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4 years ago

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ryzh [129]

Answer:

B. W = (P - 2L) / 2

Step-by-step explanation:

(I'm gonna use capitals so it's easier to identify length and width variables)

P = 2L + 2W

Isolate w:

P - 2L = 2W

(P - 2L) / 2 = W

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3 years ago

Which expression is equivalent to 4 (3n - 5)?

Fynjy0 [20]

12n - 20 is the answer

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3 years ago

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Feliz [49]

Answer:

d. 15-(-18)

Step-by-step explanation:

Take the second point and subtract the first point

15 - (-18)

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3 years ago