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2 years ago

Which expressions are polynomials? Select each correct answer. 3y2(x14) 9x2(y5) 4x2(y5) 8x2(3y)

Mathematics

2 answers:

laiz [17]2 years ago

3 0

Answer:

option B and C are correct.

Step-by-step explanation:

The correct question is:

Which expressions are polynomials? Select EACH correct answer.

A: 3y2(x^1/4)

B: 9x2(y^5)

C: 4x2(y^5)

D: 8x2(3^y)

Solution:

According to this question option B and C are correct.

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. a variable's exponents can only be 0,1,2,3,... etc. A polynomial can not have any exponent as a variable or a fraction

ycow [4]2 years ago

3 0

Answer:

B_9x2(y5)

C_4x2(y5)

D_8x2(3y)

Step-by-step explanation:

here is the prove

thanks anyway

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The acceleration due to gravity on Earth is 32 ft/sec2. A tomato is dropped from 100 feet above the ground. Give units in your a

tensa zangetsu [6.8K]

Answer:

a) the final velocity is v=80 ft/s

b) the time required is 2.5 seconds

Step-by-step explanation:

The final velocity is related with the acceleration through

v² = v₀² + 2*g*h

where

v₀= initial velocity= 0 (dropped from test)

g = acceleration

h = height

replacing values

v² = v₀² + 2*g*h = 0² + 2*32 ft/s² * 100 ft = 6400 ft²/s²

then

v= √6400 ft²/s² = 80 ft/s

the tomato hit the ground at v=80 ft/s

h₀= h + v₀*t - 1/2*g*t²

since h₀=0 ( initial height) and v₀=0

0= h - 1/2*g*t²

t = √(2*h/g)

replacing values

t = √(2*h/g) = √(2*100 ft / 32 ft/s²) = 10/4 s =2.5 s

t =2.5 seconds

3 0

2 years ago

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 cen

frutty [35]

Answer:

33.94 cms of ribbon

Step-by-step explanation:

Because you need two diagonals to form the x, therefore the amount of ribbon needed is the sum of the distance of both diagonals.

When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):

d ^ 2 = a ^ 2 + b ^ 2

a = b = 12

d ^ 2 = 12 ^ 2 + 12 ^ 2

d ^ 2 = 288

d = 288 ^ (1/2)

d = 16.97

16.97 cm is what it measures, a diagonal, therefore tape is needed:

16.97 * 2 = 33.94

A total of 33.94 cms of ribbon is needed

3 0

2 years ago

Read 2 more answers

Which statements are true regarding triangle LMN? Check all that apply.

dimaraw [331]

Answer:

$NM = x$

$LM = x\sqrt{2}$

$tan (45) = 1$

Step-by-step explanation:

Step 1: Pythagoras Theorem

Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

$LM^{2} =LN^{2} +NM^{2}$

Step 2: Trigonometric Functions

Only for a right angle triangle following three trigonometric relations are valid

$sin (\theta) = \frac{opposite}{hypotenuse}$

$cos (\theta) = \frac{adjacent}{hypotenuse}$

$tan (\theta)=\frac{sin (\theta)}{cos (\theta)} = \frac{opposite}{adjacent}$

Step 3: Verifying all the possible answers

A: Since, LN = x and using $tan (45) =1$

we can calculate

$tan (\theta)= \frac{opposite}{adjacent}$

$tan (45)= \frac{NM}{x} =1$

therefore, NM = x (true)

B: As NM = x therefore it can not be equal to $x\sqrt{2\\}$ .

C: Using Pythagoras Theorem

$LM^{2} =LN^{2} +NM^{2}$

$LM^{2} =x^{2} +x^{2}$

$LM^{2} =2x^{2}$

$LM = \sqrt{2x^{2}} = x\sqrt{2}$

It can also be proved using trigonometric relation

$cos (45) = \frac{x}{LM}$

$LM = \frac{x}{cos (45)}$

As, $\frac{1}{cos (45)}= \sqrt{2}$

Therefore

$LM = x\sqrt{2}$

D and E:

Using same approach similar to part A

Since, LN = x and NM = x

we can calculate

$tan (\theta)= \frac{opposite}{adjacent}$

$tan (45)= \frac{x}{x} =1$

Therefore, $tan (45) = 1$ and not equal to $\frac{\sqrt{2} }{2}$

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2 years ago

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Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of

serg [7]

You can set up an equation of a line where it has a slope-intercept form written as y=mx + b where m is the slope and b is the y-intercept. The slope is calculated by the change in y over the change in x. Hope this answers the question. Have a nice day

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2 years ago

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Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bou

LenKa [72]

3x + 4y = 32....multiply by 5
5x + 5y = 50...multiply by -3
---------------
15x + 20y = 160 (result of multiplying by 5)
-15x - 15y = -150 (result of multiplying by -3)
--------------add
5y = 10
y = 10/5
y = 2

3x + 4y = 32
3x + 4(2) = 32
3x + 8 = 32
3x = 32 - 8
3x = 24
x = 24/3
x = 8

solution (8,2)

The students conclusion is incorrect......it is answer choice 1

4 0

2 years ago