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3 years ago

HELP ME PLEASEEEEEEEEEEEEE

Mathematics

1 answer:

Bad White [126]3 years ago

6 0

Answer:

option 2 : $=x^4 - 3x^3 +x^2 -4$

Step-by-step explanation:

Given P(x) = R(x) - C(x)

$R(x) = 2x^4 - 3x^3 + 2x - 1 \ , \ C(x) = x^4 - x^2 + 2x + 3$

$P(x) = (2x^4 - 3x^3 + 2x -1) - (x^4 -x^2 + 2x +3)$

$=2x^4 -3x^3 + 2x -1 -x^4 +x^2 -2x -3$

$= (2x^4 - x^4) - 3x^3 +x^2 +(2x -2x) + (-1 -3)$ $[arranging \ terms]$

$=x^4 - 3x^3 +x^2 -4$

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Is y5 -25 difference of squares

dmitriy555 [2]

Answer:

Step-by-step explanation:

It can't be expressed as the product of two squares but as the product of 5th roots

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2 years ago

each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

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3 years ago

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zheka24 [161]

Step-by-step explanation:

Human body, the physical substance of the human organism, composed of living cells and extracellular materials and organized into tissues, organs, and systems.

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2 years ago

Help please!!! really really important

Serga [27]

Answer:

42. Graph a

43. Not possible.

44. Graph e

45. Graph c

46. Graph b.

Step-by-step explanation:

42. 7x + 13 ≥ 55

⇒ x ≥ 6

So, it matches graph a.

43. 12x - 8 > 4(3x + 2)

⇒ 12x - 8 > 12x + 8

Hence, d. not possible.

44. $\frac{x}{- 4} - 3 < - 1$

⇒ $\frac{x}{- 4} < 2$

⇒ x > - 8

Hence, graph e matches.

45. - 4(- 2x + 3) ≤ 5 + 8x

⇒ 8x - 12 ≤ 5 + 8x

⇒ - 12 ≤ 5

This is true for all values of x, hence that matches graph c.

46. - 4(x + 3) > 8(x + 3)

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Hence, graph b matches the situation. (Answer)

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3 years ago

The slope of the line containing the points (6, 4) and (-5, 3) is:<br><br> 1<br> -1<br> 1/11

julsineya [31]

Answer:

1/11

Step-by-step explanation:

(6, 4) and (-5, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-4)/(-5-6)

m= (-1)/(-11)

m = 1/11

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3 years ago