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3 years ago

Combine like terms and classify the polynomial by the number of terms. 4x^2 + 3 + 2x^2 - 7x + 1

Mathematics

2 answers:

Agata [3.3K]3 years ago

5 0

Answer:-2x^2+4

Step-by-step explanation:

aliya0001 [1]3 years ago

4 0

Answer:

6x^2-7x+4

Step-by-step explanation:

6x^2+3-7x+1

6x^2+4-7x

6x^2-7x+4

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What number can be written as 40 plus 5 ?

Sergio [31]

40+5=45 is written in extended form so your answer is 45

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3 years ago

Read 2 more answers

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

What is the 150th term in this sequence? 17, 162, 16, 15....

velikii [3]

Answer:

try Math

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Step-by-step explanation:

3 0

3 years ago

Helppppppppppppppp !!!!!!

algol [13]

Answer:

$\sqrt{2^{5} }$ is correct

Step-by-step explanation:

6 0

3 years ago

if you’re good with set theory in math 30 please help with questions 31 and 32!! real answers only !!

GREYUIT [131]

Answer: 31) d 32) c

Step-by-step explanation:

31)

A = {1, 3, 5, 15}

B = {2, 3, 5, 7}

A ∪ B = {1, 2, 3, 5, 7, 15}

C = {2, 4, 6, 8}

(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}

2 is the only number in both sets

32)

The pattern is: reflection, add symbol, ..., reflection, add symbol.

The last image shown is: add symbol

So the next image will be: reflection (flipped to the left)

7 0

3 years ago