Find the sum of each of the following polynomials.
a) [tex]x^3+5x^2+2, 3x^2-4x+7[/tex]
b) [tex]2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]
c) [tex]5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]
d) [tex]2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]

Answer:

B. parallelogram

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

Select the type of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Since all 4 sides are not equal, then it is neither a square; nor a rhombus

Hence, the shape is a parallelogram

Answer: 343

hope this helps

Answer:

A die usually has 6 sides.

Answer - B (1/2)

Answer:

The longest segment is approximately 19.13cm

Step-by-step explanation:

Given

[tex]l = 14cm[/tex]

[tex]w = 11cm[/tex]

[tex]h = 7cm[/tex]

Required

The length of the longest segment (d)

This is calculated using:

[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]

So, we have:

[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]

Using a calculator, the equation becomes

[tex]d = \sqrt{366[/tex]

Take square roots

[tex]d = 19.13cm[/tex]

Answer:

log2 10 = 3x

Step-by-step explanation:

Basic Logarithm Tenets

Answer:

log2 10=3x

Step-by-step explanation:

is the amswer

Answer:

can you show me the picture? I will edit my answer if you show me full picture

Step-by-step explanation:

Answer:

27.91 pretzels.

Step-by-step explanation:

Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

89 / 2.5 / 11 = X

35.6 / 11 = X

3.236 = X

3/4 = 0.75

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer:260000

Step-by-step explanation:

Answer:

8.50

Step-by-step explanation:

Answer:

r1 is given by the formula an=a1r.n-1

Step-by-step explanation:

Answer:

a1 = 2

r1 = 2

yayyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

Vincent Van Gogh

Step-by-step explanation:

He was the artist who cut off his ear in 1888 in December I think...

I hope this helped :))

[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]

The above expression can be written as :

[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]

[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]

As Bases are same, we can add the powers with same base

[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]

[tex]\implies \sf{10^{9}}}}[/tex]

[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]

The above expression can be written as :

[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]

[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]

[tex]\implies\sf{10^{(5 - 11)}}[/tex]

[tex]\implies\sf{10^{-6}}[/tex]

[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]

[tex]\implies\sf{10^{(-5 + 10)}}[/tex]

[tex]\implies\sf{10^{5}}[/tex]

[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]

[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]

[tex]\implies \sf{(20)(10^{11})}[/tex]

[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]

[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]

Answer:

4

Step-by-step explanation:

1+1+1+1=4

Answer:

wow, hardest question I've ever answered! It's either 4 or 22, I can't decide

Step-by-step explanation:

Answer:

Haha once again 1200 and 8.5 are the answers

Answer:

take 72 degree as reference angle

using cos rule

cos 72=b/h

0.30=6/x

0.30x=6

x=6/0.30

x=20

Step-by-step explanation:

Answer:

arc AC = 202°

Step-by-step explanation:

Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.

Thus:

m<P = ½(arc AC - arc CB)

Substitute

78° = ½(arc AC - 46°)

Multiply both sides by 2

2*78 = arc AC - 46

156 = arc AC - 46

Add 46 to both sides

156 + 46 = arc AC

202° = arc AC

arc AC = 202°

9514 1404 393

Answer:

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

Answer and Step-by-step explanation:

The answer is 54.

We see that each time, the number is being multiplied by 1.5.

54 times 1.5 = 81 * 1.5 = 108

54 times 2 = 108

54 is the starting number, because when you multiply 54 by 1, you get 54 for y.

#teamtrees #PAW (Plant And Water)

Answer: y = 54x

The easiest way to do this is by looking at the column where x = 1. In that column, y = 54, so we know that x times 54 would be equal to y.

If you don't have a column where x = 1, you can divide the y value by the x. Here are two examples:

27 ÷ 0.5 = 54

81 ÷ 1.5 = 54

Answer:

8

Step-by-step explanation:

If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.

Answer:

1/8*1/3^3

1/8*1/27

1/216

Step-by-step explanation:

just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .

Answer:

answer is 3^2

hopefully this helps someway