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3 years ago

If a polygon has six sides, then it is called a hexagon.

Mathematics

2 answers:

natita [175]3 years ago

8 0

Hello,

A polygon which is not a hexagon, does not have 6 sides.
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kotykmax [81]3 years ago

3 0

<span> If a polygon is not called a hexagon, then it does not have six sides hope I have helped you in some way.</span>

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Please Help and show work. Thank You!

aleksandrvk [35]

You got to multiply all the numbers

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3 years ago

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Which of the following lines is perpendicular to a line with a slope of 5?

Novosadov [1.4K]

Answer:

Y=-5x+5

Step-by-step explanation:

you just change it negative and if it was a fraction you'd change the sign the opposite still but.... flip the fraction :))

4 0

3 years ago

Let p0, p1, and p2 be the orthogonal polynomials described below, where the inner product on P4 is given by evaluation at -2, -1

Mamont248 [21]

Answer:

$\frac{51}{5}t$

Step-by-step explanation:

Let W = $(p_0, p_1, p_2)$ be orthogonal polynomials which is equal to $(4, 3t, t^2 -2)$ , which defines the inner products as

$(f,g)=f(-2)g(-2)+f(-1)g(-1)+f(0)g(0)+f(1)g(1)+f(2)g(2)$

Now, we find the orthogonal projection of $p=3t^3$ on W.

So the projection is

$Proj_W p = \frac{(p_0,p)}{(p_0,p_0)}p_0+\frac{(p_1,p)}{(p_1,p_1)}p_1+\frac{(p_2,p)}{(p_2,p_2)}p_2$

$(p_0,p)=p_0(-2)p(-2)+p_0(-1)p(-1)+p_0(0)p(0)+p_0(1)p(1)+p_0(2)p(2)$

$=4(-24)+4(-3)+4(0)+4(3)+4(24)=0$

$(p_0,p_0)=p_0(-2)p_0(-2)+p_0(-1)p_0(-1)+p_0(0)p_0(0)+p_0(1)p_0(1)+p_0(2)p_0(2)$

$=4(4)+4(4)+4(4)+4(4)+4(4)=80$

$(p_1,p)=p_1(-2)p(-2)+p_1(-1)p(-1)+p_1(0)p(0)+p_1(1)p(1)+p_1(2)p(2)$

$=(-6)(-24)+(-3)(-3)+0(0)+3(3)+6(24)=306$

$(p_1,p_1)=p_1(-2)p_1(-2)+p_1(-1)p_1(-1)+p_1(0)p_1(0)+p_1(1)p_1(1)+p_1(2)p_1(2)$

$=(-6)(-6)+(-3)(-3)+0(0)+3(3)+6(6)=90$

$(p_2,p)=p_2(-2)p(-2)+p_2(-1)p(-1)+p_2(0)p(0)+p_2(1)p(1)+p_2(2)p(2)$

$=2(-24)+(-1)(-3)+(-2)(0)+(-1)(3)+2(24)=0$

$(p_2,p_2)=p_2(-2)p_2(-2)+p_2(-1)p_2(-1)+p_2(0)p_2(0)+p_2(1)p_2(1)+p_2(2)p_2(2)$

$=(2)(2)+(-1)(-1)+(-2)(-2)+(-1)(-1)+2(2)=14$

Therefore,

$Proj_W p = \frac{(p_0,p)}{(p_0,p_0)}p_0+\frac{(p_1,p)}{(p_1,p_1)}p_1+\frac{(p_2,p)}{(p_2,p_2)}p_2$

$=\frac{0}{80}(4)+\frac{306}{90}(3t)+\frac{0}{14}(t^2-2)$

$=\frac{51}{5}t$

6 0

3 years ago

(2x+3y)+(8x+10y) simplify the following

zzz [600]

Answer:

10x+13y

Step-by-step explanation:

remove parentheses:

2x+3y+8x+10y

add like-terms:

2x+8x+3y+10y

add numbers with the same variables/elements

10x+3y+10y-->10x+13y

hope this helps

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3 years ago

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20 POINTS!!!!

Lostsunrise [7]

15/4 - 6/5 , 300/20 -24/20, 276/20, 69/5

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3 years ago

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