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3 years ago

-2x^(3) +3=-1x^(3) -1x^(2) +1x+1

1 answer:

7 0

-2x³ + 3 = -x³ - x² + x + 1

Add x³ to both sides, and subtract 3 from both sides.

-2x³ + x³ = -x² + x + 1 - 3

Add like terms.

-x³ = -x²+ x - 2

Move all of the (X's) to both sides, by adding x² to both sides, and subtracting x form both sides.

-x³ + x² - x = -2

~Hope I helped!~

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What is the area of the triangle given below?

vovikov84 [41]

Answer:

70 .formula = 1/2*b*h hope it helps

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3 years ago

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Taya2010 [7]

Answer:

Segment DE is half the length of segment AC. -- Substitution property of equality

Step-by-step explanation:

Here is given a proof for proving line joining mid segment is parallel and half the length of third side.

Stepwise proof is given in two columns

We find that for every line there is a justification as

STatement Justification

D and E coordinates found out MId point formula

DE and BC are measured Distance formula

DE=1/2 BC Substitution property of equality

This justification was missing in the given proof and with this included proof would be complete

4 0

3 years ago

Read 2 more answers

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w

Rina8888 [55]

Answer:

a) The general solution θ = nπ±π/6

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

b) The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Step-by-step explanation:

Step( i):-

Given an equation 2 cos (2θ)-1 =0

2 cos (2θ) = 1

cos(2θ) = 1/2

cos(2θ) = cos (π/3)

Step(ii):-

a)

The general solution of cos θ = cos ∝ is given by

θ = 2nπ±∝

The general solution of cos(2θ) = cos (π/3) is

2θ = 2nπ±π/3

θ = nπ±π/6

Put n=0 θ = ±π/6

Put n =1 θ = π±π/6

θ = π-π/6 = 5π/6

θ = π+π/6 = 7π/6

put n =2

θ = 2π±π/6

θ = 2π-π/6 = 11π/6

θ = 2π+π/6 = 13π/6

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

Final answer:-

The all solutions are - π/6 ,π/6 ,5π/6 ,7π/6 ,11π/6 ,13π/6 ...…

The solutions in the interval [ 0,2π)

θ = - π/6 ,π/6 , 5π/6 , 7π/6 , 11π/6

8 0

3 years ago

a company packages stickers in sets of 40. if each set costs $80.85, what is the cost of 240 stickers?

Darina [25.2K]

Answer:

485.10

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help ASAP!! WILL MARK BRAINLY!!

erastova [34]

Answer:

$A=91^o$

$B=146^o$

$C=89^o$

$D=34^o$

Step-by-step explanation:

we know that

In an inscribed quadrilateral ABCD opposite angles are supplementary

$A+C=180^o$ ----> equation 1

$B+D=180^o$ ----> equation 2

step 1

Find the value of x

substitute the given values in equation 1

$(2x+3)^o+(2x+1)^o=180^o$

$4x=180-4\\4x=176\\x=44$

step 2

Find the measure of angle A,C and D

substitute the value of x

$A=(2(44)+3)=91^o$

$C=(2(44)+1)=89^o$

$D=(44-10)=34^o$

step 3

Find the measure of angle B

Remember the equation 2

$B+D=180^o$ ----> equation 2

substitute the value of D

$B+34^o=180^o$

$B=180^o-34^o=146^o$

6 0

3 years ago