20 POINTS!! PLEASE HELP DUE NOWWW!


Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.



Fill in Line 4 and give the property.



Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem

Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property

Line 3: -2x − 30 = 2x − 26 Collect Like Terms

Line 4: _______________ _______________

Answer:

Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Step-by-step explanation:

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]

[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]

[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]

[tex]sin^2(\theta)=1-cos(\theta)[/tex]

[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]

[tex]-cos^2(\theta)=-cos(\theta)[/tex]

[tex]cos^2(\theta)=cos(\theta)[/tex]

[tex]cos^2(\theta)-cos(\theta)=0[/tex]

[tex]cos(\theta)[cos(\theta)-1]=0[/tex]

[tex]cos(\theta)=0[/tex]

[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

[tex]cos(\theta)-1=0[/tex]

[tex]cos(\theta)=1[/tex]

[tex]\theta=0[/tex]

Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Helpful Tips:

Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]

Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]

[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]

[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]

Answer:

327

Step-by-step explanation:

Answer:

The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

Lets assume that B is 0.8 and C is -1.8.

0.8/-1.8 is approx. -0.44 which is a negative

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

Step-by-step explanation:

the scale factor is 1 : 150

you don't know what that means ?

it means that every unit (here cm) in the diagram corresponds in reality to 150 units.

so, 1 cm in the diagram is 150 cm in reality.

therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.

length : 5 × 150 = 750 cm (7.5 m)

breadth : 3 × 150 = 450 cm (4.5 m)

and the perimeter is as for every rectangle :

2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =

= 2400 cm (24 m)

Answer:

look it up in internet and find th right answers

Answer:

g(x)=3|x| is the first box

f(x)=1/3|x| is the second box

Step-by-step explanation:

you can solve these type of questions by looking at the slope which is in front of the x.

since 1/3 is smaller than 3 it's going to have lower slope resulting in 3 to incline faster

Answer:

w = 5

Step-by-step explanation:

Step 1: Use the Distributive property to get 6w + 30.

Step 2: Divide 6w by 6 and cancel out both 6s.

Step 3: Divide 30 by 6 to get 5, and you have the answer.

Answer:

The correct answers are:

B

D and

F

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

Answer:

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

you can further simplify to get ~

Answer: C

Step-by-step explanation:

Answer:

The Answer Is B

Step-by-step explanation:

Answer:

Other factor is 70

Step-by-step explanation:

Let,

Other factor = x

Then,

x × 60 = 4200

x = 4200/60

x = 420/6

x = 70

∴Another factor is 70.

Answer:

Solution given

let two factor be a and b.

if one factor a=60, then b=?

we have

product of factor=4200

a*b=4200

60*b=4200

b=[tex]\frac{4200}{60}=70[/tex]

Step-by-step explanation:

Answer:

I think it is undefined.

1

Step-by-step explanation:

true ya false you say me

okay. first you must get the properties of a triangle. all three angles are 180 degrees in total. the angle of a straight line is also 180 degrees. both the triangle and the straight line shares the same angle ACB. so you can conclude that 5x-35 = 2x+58

-2x from both sides and 3x-35= 58

so 3x = 58+ 35= 93

x= 31

ABC = 31x2 = 62

BCA = 180-58-62= 60 degrees

please give me brailiest . thanks!

Answer:

x =31°

ABC is 62°

BCA IS 60°

I HOPE THIS IS HELPING

Step-by-step explanation:

x-8/2 = x-5/5

5(x-8) = 2(x-5)

5x-40 = 2x-10

3x= 30

x = 10

Answer:

x = 10

Step-by-step explanation:

[tex]\frac{x-8}{2}[/tex] = [tex]\frac{x-5}{5}[/tex] ( cross- multiply )

5(x - 8) = 2(x - 5) ← distribute parenthesis on both sides

5x - 40 = 2x - 10 ( subtract 2x from both sides )

3x - 40 = - 10 ( add 40 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Step-by-step explanation:

-0.5 cause decimals and fraction are not included

Answer:

Step-by-step explanation:

FV = PMT [((1 + r)ⁿ - 1) / r]

PMT = $300

r = 0.04/12

n = 35(12) = 420

FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28

I = $274,119.28 - 300(420) = $148,119.28

2b + 21 < 22

b is the unknown number so multiply it by 2 to get 2b then add 21, bring the less than sign and write the 22 after the less than sign

Answer:

See below

Step-by-step explanation:

Dilation of 4

Z (0, -1) Z' (0, -4)

X (1, -1) X' (4, -4)

Answer:

D

Step-by-step explanation:

F(g) falls between 0 and 49.58

Answer:

8, 2.

Step-by-step explanation:

2*4 is 8 so I think line them up together and 12/6 is 2

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

Answer:

This is not a linear function, as it isn't any function because 3 has two outputs.

Step-by-step explanation:

Explained above

Answer:

Ok

Step-by-step explanation:

Answer:

the answer you're looking for is D. when you move to the left the -4 becomes -6 and when you move up 2 becomes 4.

Answer:

219/64

Step-by-step explanation:

x - 3 = 27/64

64(x - 3) = 27

64x - 192 = 27

64x = 27 + 192

64x = 219

x = 219/64

Answer:

[tex]x = 3.4218[/tex]

Step-by-step explanation:

[tex]x -3=\frac{27}{64}[/tex]

[tex]64(x-3)=27[/tex]

[tex]64x-192=27[/tex]

[tex]64x=27+192[/tex]

[tex]64x=219[/tex]

[tex]\frac{64x}{64} =\frac{219}{64}[/tex]

[tex]x = 3.4218[/tex]

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40