2 years ago

Find x. to 150 X = Alternate interior angles

Mathematics

1 answer:

eimsori [14]2 years ago

3 0

Answer: 75 degrees

Step-by-step explanation: supplementary angles= 180 degrees, 180 - 115 = 75

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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.

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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

(18+4)+m=(5-3)m

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3 years ago

On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two poi

wel

Answer:

Solution given;

A(x1,y1)=(7,4)

B(x2,y2)=(-8,4)

distance AB=?

we have

d= $\sqrt{(x2-x1) ²+(y2-y1) ²}$

AB= $\sqrt{(-8-7)²+(4-4)²}$

AB=15 units

the distance between the two points is 15 units.

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