Which expression below is equivalent to the one below? 3 (2x+5)-(-5x+4)

A)6x+1

B)11x+1

C)x+9

D)11x+9

Answer:

a. 6x^5- 3x^3+ 21

b. (6x^5+ 4x^4+21) -  (4x^5+ 3x^4+11)=  2x^5+ x^4+10

Step-by-step explanation:

The degree of the polynomial is the highest power of the terms of the polynomial . e.g

x³+ 2ax+ b² is a polynomial of 3rd degree because the highest power of the terms given is 3.

As we need a polynomial of 5th degree the highest power will be 5.

6x^5+ 4x^4+ 3x^3+ 5x^2+ x+21

But this polynomial has 5 terms. We need a 5th degree polynomial with three terms so it can be any one of the following

6x^5- 3x^3+ 21

6x^5+ 4x^4+21

6x^5+  5x^2+21

6x^5 + x+21

All of th above polynomials are in the standard form because the powers of the terms are given in decreasing order. The first term has the highest power and so on.

Part B:

Suppose we have 2 polynomials

6x^5+ 4x^4+21 and 4x^5+ 3x^4+11

When the closure property of subtraction is applied

(6x^5+ 4x^4+21) -  (4x^5+ 3x^4+11)

= 6x^5+ 4x^4+21 -  4x^5- 3x^4-11  → coefficients are changed b/e of subtraction

= 2x^5+ x^4+10

the coefficients are changed because of subtraction.

In Polynomials the sign is changed due to subtraction and  same degree terms ( like terms) are subtracted to get the answer.

The fifth degree polynomial is 6x^5- 3x^3+ 21.

Closure property of the polynomial subtraction

(6x^5+ 4x^4+21) -  (4x^5+ 3x^4+11)=  2x^5+ x^4+10

We have given that the degree of the polynomial is the highest power of the terms of the polynomial.

[tex]P(x)=a_nx^n+a_n-1x^n-1..........a_1x+a_0[/tex]

This is the polynomial of n degree because the heighest power is n.

We need a polynomial of 5th degree

Therefore,the highest power will be 5.

6x^5+ 4x^4+ 3x^3+ 5x^2+ x+21

But this polynomial has 5 terms. We need a 5th degree polynomial with three terms so it can be any one of the following

the coefficient of the absent term will be 0.

6x^5- 3x^3+ 21

here the coefficient of x^4 and x^2 and the term x will be 0 therefore it has three  term.

6x^5+ 4x^4+21

6x^5+  5x^2+21

6x^5 + x+21

All of th above polynomials are in the standard form because the powers of the terms are given in decreasing order.

The first term has the highest power and so on.

Part B: Suppose we have 2 polynomials

6x^5+ 4x^4+21 and 4x^5+ 3x^4+11

When the closure property of subtraction is applied

(6x^5+ 4x^4+21) -  (4x^5+ 3x^4+11)

= 6x^5+ 4x^4+21 -  4x^5- 3x^4-11  

coefficients are changed b/e of subtraction

= 2x^5+ x^4+10

Only the coefficients are changed and degree is same because of subtraction.

to subtraction and  same degree terms

In Polynomials the sign is changed due to subtraction and like terms are subtracted to get the answer.

To learn more about the polynomial visit:

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Answer:

80

Step-by-step explanation:

240/3 = 80

Answer: The answer is 3

Step-by-step explanation:

OK !!!!!!!!!!!!!!!!!!!!!

Answer:

102.0

Step-by-step explanation:

The area of the shaded region will be 3521.14 cm². It is obtained by subtracting total area from unshaded region.

The difference between the area of the complete polygon and the area of the unshaded section inside the polygon is the shaded region's area is the area of the shaded region.

The total area of the region is;

A=πr²

A=3.14×7²

A=153.86 cm²

The area of unshaded section;

A₂=r²(α/2)

A₂=7²(150/2)

A₂=3675

The area of the shaded region is;

Area of shaded region=Total area - area of unshaded region

Area of shaded region=3675 -153.86

Area of shaded region=3521.14 cm²

Hence, the area of the shaded region will be 3521.14 cm².

To learn more about the area of the shaded region, refer;

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#SPJ2

Answer:

Step-by-step explanation:

1)

2) x/y=8

3) x*1/4 + x

4) 6w = 4L

5) 3x-2 = 5*y

Answer:

Step-by-step explanation:

Answer:

About 588.7 mm^3

Step-by-step explanation:

The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.

We need the radius. We are given the diameter, 10.4.

The radius is half the diameter, so 10.4/2=5.2.

Use r=5.2 and put it into the formula:

(4/3)*3.14*5.2^3≈588.7

Answer:

1360

Step-by-step explanation:

[tex]4 \times 3.14 \times {10.4}^{2} \\ = 1358.4896[/tex]

Answer:

the science students

Step-by-step explanation:

Answer: C. 15

Step-by-step explanation:

BC ≅ 11cm

To accomplish this task, follow these steps:

i. Using your ruler, draw a line AB with length 8cm as shown in Figure 1. This will give AB = 8cm

ii. Remove the ruler and place your protractor at the point A and parallel to line AB as shown in Figure 2. Make a dot at the mark 90° of the protractor (See Figure 2). For accuracy, ensure that the 180° mark of the protractor is on the line AB.

iii. From point A through the dot in (ii) above, use a ruler to draw a line AC of length 8cm as shown in Figure 3. This will give AC = 8cm and will also give angle CAB = 90°

iv. Now join points C and B by drawing a line from point A to C using a ruler as shown in Figure 4.

v. Lastly, measure the length of BC by placing your ruler on line BC as shown in Figure 5. This should give a value of about 11cm.

Therefore the length of BC = 11cm approximately.

NB: All figures are attached to this response.

if it's 60 degrees it's an acute angle

Answer:

THANK YOU. YOUR SOOO NICE

Answer:

Step-by-step explanation:

Answer:

7m^2 - 11m - 2

Step-by-step explanation:

Subtract (-3m^2 + 10m + 4) from 4m^2 - m + 2:

  4m^2 - m + 2

- (-3m^2 + 10m + 4)   Now distribute the negative sign:

  4m^2 - m + 2

+ 3m^2 - 10m - 4

--------------------------

   7m^2 - 11m - 2 is the final answer.

YES that is irrational!!!!

Answer:

B

Step-by-step explanation:

because when you get the square of 6 and 7,add , you will get the square of 10 as the answer.

[tex] \huge{ \color{red}{ \sf{Question:}}}[/tex]

4. How long is one term of office for the Governor of Illinois?

A. 2 years

B. 4 years

C. 5 years

D. 6 years

[tex] \huge \color{blue}{ \sf{Answer:}}[/tex]

Answer: 10

Step-by-step explanation:

Subtract the biggest number by the smallest to find range (16 - 6 = 10)

Answer:

B. 10

Step-by-step explanation:

The range is the lowest number which is 6, subtracted from the highest number, 16.

16 - 6 = 10

have a good day!! :)

Answer:

[see below]

Step-by-step explanation:

The triangle shown is a right triangle. I am assuming that the 'x' is the missing angle measurement.

The three angle measures in a triangle add up to 180 degrees.

[tex]60 + 90 = 150\\\\180 - 150 = 30[/tex]

The third angle should measure 30 degrees.

Hope this helps.

Answer:

30 degree

Step-by-step explanation:

60+90+x = 180 ( Angle sum property of a triangle )

150+x =180

x = 180-150

x = 30

therefore x is 30 degree

Answer:

175

Step-by-step explanation:

in 35 hours -- 13 miles

?    -- 65 miles

= 175

Answer:

17: 25in²

18. 53m²

19. 21.6cm²

20. 20.8km²

Step-by-step explanation:

Formula for area of a parallelogram

Area = Base Length x Height

For 17

Given Base Length: 5 in

Given Height: 5 in

( Using the formula stated above ) area = 5 * 5 = 25

Hence the answer to #17 is 25in²

For 18

Given Base Length: 10 m

Given Height: 5.3 m

( Using the formula stated above ) area = 5.3 * 10 = 53

Hence the answer to #18 is 53m²

For 19

Given Base Length:  5.4 cm

Given Height: 4 cm

( Using the formula stated above ) area = 5.4 * 4  = 21.6

Hence the answer to #19 is 21.6cm²

For 20

Given Base Length: 5.2 km

Given Height: 4 km

( Using the formula stated above ) area = 5.2 * 4 = 20.8 km

Hence the answer to #20 is 20.8km²

Answer:

t = 12

Step-by-step explanation:

12/4 + 12 = 15

3 + 12 = 15

15 = 15

t = 15

Answer:-0.6

Step-by-step explanation:

Answer:

-0.6

Step-by-step explanation:

To add these up, i start with the negative values.  To do this, i rearranged the question to this

-15.4 + (-10.4) + 25.2

After rearranging the question, I add the negatives

-25.8 + 25.2

With this, I do 25.2 - 25.8 as adding a negative and a positive value together is the same as subtracting thE positive from the negative.

This leaves us with -0.6 as our final answer

Answer:

The third statement is true.

2.5t + 4 = 6.5 (in. of snow)

Answer:

I think its the first one

Step-by-step explanation:

Answer:

1920sq.in

Step-by-step explanation:

The formula for calculating the area of a triangle is A=(b×h)÷2.

If we substitute the numbers in the equation for the pronumerals, the formula becomes A=(20×24)÷2. 20×24=480, so the formula is now 480÷2.

480÷2=240sq. in.

This means that one triangle in a stop sign is equal to 240sqin. But since there is 8 triangles in a stop sign, you multiply it by 8.

240×8=1920sq.in

Meaning that the answer is equal to 1920sq.in.

Hope this helped :)

HOPE THIS HELPS YOU........

Answer:

A

Step-by-step explanation:

65+80+35=180 All triangles add up to 180

Answer:

its 35*

Step-by-step explanation:

A P 3 X