-2x + 4 = 3
how would you solve this problem?​

9514 1404 393

Answer:

  4

Step-by-step explanation:

Consider the arcs PQ and P'Q. When turns are made without slipping, these have the same measure. The length of arc PQ is ...

  PQ = CP·θ

The length of arc P'Q is ...

  P'Q = O₂Q·(∠PO₂Q)

Segment O₂A is parallel to CP, so angle AO₂Q is θ. Then ∠PO₂Q = θ+α, where α is the angle by which P' has rotated counterclockwise from A.

We are given that ...

  CP = 5, O₂Q = 1

Using the above relations, we can write ...

  5θ = 1(θ+α)

  α = 4θ

That is, for every full turn θ = 2π, the smaller circle makes turns totalling 4(2π) = 8π, or 4 full turns.

The small circle makes 4 revolutions to arrive at its starting point.

Answer:

12x + 18y + 6z + 4x - 4z

Step-by-step explanation:

Given the expression : 3(4x + 6y + 2z) + 4(x – z)

To eliminate the parenthesis ; we use the distributive property :

3(4x + 6y + 2z) + 4(x – z) becomes ;

3*4x + 3*6y + 3*2z + 4*x + 4*-z

12x + 18y + 6z + 4x - 4z

Hence,

12x + 4x + 18y + 6z - 4z

16x + 18y + 2z

Answer:

52

Step-by-step explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52

Answer:

D) 52

Step-by-step explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x         -6x

2=2x-6

+6    +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

Answer:

here a link to your answer

Step-by-step explanation:

https://brainly.com/question/20419046

plus the answer is b

Slope:  

2

3

y-intercept: (0,−6)xy0−63−4

Answer:

b is correct

Step-by-step explanation:

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

Answer:

0.06

Step-by-step explanation:

Answer:

10x+ y

Step-by-step explanation:

The unit's digit is y and the ten's digit is x.

The ten's digit has a zero placed beside it .

So multiply x by 10  giving 10 x and then add the unit's digit .

This wil give 10x+ y

The number is 10 x + y

This can be elaborated through the use of numbers . Suppose we have unit's digit as 6 and the ten's digit as 5.

Multiply 10 by 5 and add 6

5*10 +6= 50+6= 56

Answer:

I believe it's 17.202

Step-by-step explanation:

first Lets add the number of people at the age of 50 and over who have done highschool only and some college.

1942+1057= 2999

then multiply that by 100 divided by the total:total

2999*100/17434=17.20201904

answer 17.202

I would still check though cause i'm not sure if this is correct

Answer:

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Step-by-step explanation:

Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:

[tex]x = \$\,100000 - \$\,32950 - \$\,25825[/tex]

[tex]x = \$ \,41225[/tex]

Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.

Answer:

Slope: -1/3

y intercept: (0, -2)

Answer:

38π cubic units

Step-by-step explanation:

The volume V = ∫₀²πy²dx  

Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3

So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1

when x = 2, y = 3(2) + 1 = 6 + 1 = 7

So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have

V = ∫₀²πy²dx

V = π∫₁⁷y²dy/3

V = π[y³/3]₁⁷/3

V = π[y³]₁⁷/9

V = [7³ - 1³]π/9

V = [343 - 1]π/9

V = 342π/9

V = 38π cubic units

Answer:

Step-by-step explanation:

90+42 angle S=180 degree(being sum of interior angles of a triangle)

132 angle S=180

angle S=180-132

angle S=48 degree

Answer:

a. y= f(x-1)

Step-by-step explanation:

___________

Answer:

36

Step-by-step explanation:

5(4)+16=20+16=36

Answer:

[tex]\frac{1}{12}[/tex] or 1:12

Step-by-step explanation:

There are 11 teachers : 132 students

Because ratios are just another way of writing fractions, by putting this into a fraction we get:

[tex]\frac{11}{132}[/tex]

Dividing both the numerator and denominator (top and bottom) by 11, we get:

[tex]\frac{1}{12}[/tex]

Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

Answer:

1,130,400 people

Step-by-step explanation:

Find the area of the broadcasting area, using the circle area formula.

Since the diameter is 120 miles, the radius will be 60 miles.

Use the circle area formula, plug in 60 as r, and plug in 3.14 as pi:

A = [tex]\pi[/tex]r²

A = (3.14)(60²)

A = 11304

So, the area is 11304 square miles

To find how many people are in receiving distance, multiply this by 100, since there are 100 people per square mile.

11304(100)

= 1,130,400

So, 1,130,400 people are within receiving distance of the signal.

Answer:

1,130,400

Step-by-step explanation:

PN = LO

__________________________

(LO)^2 = (LN)^2 + (NO)^2

(LO)^2 = 6^2 + 8^2

(LO)^2 = 36 + 84

(LO)^2 = 100

LO = √100

LO = 10

__________________________

Thus :

PN = 10

Step-by-step explanation:

So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well.  LO and PN are also equal.

We can see that PN is the hypotenus of either triangle NLP or NOP.  LO is the hypotenuse of LOP and LON, so those could be used to find the length as well.  I rather work with NOP, but any work.

We know that NO is 8 units long and LN is 6 units long.  Because LN = PO, PO = 6 units.

So, using the pythagorean theorem, the hypotenuse is:

8^2 + 6^2 = c^2

64 + 32 =c^2

sqrt(96)=c

c~9.8

I don't know how exact they want your answer.

c = 9.79795897113

Answer:

1,3

Step-by-step explanation:

Answer:

153.9

Step-by-step explanation:

14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.

Answer:

153.9

Step-by-step explanation:

We know that the equation to find the area of a circle in [tex]\pi r^2\\[/tex]. So we divide the diameter by half and we plug in the radius.

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

Answer:

B. 33 cm^3

Step-by-step explanation:

Volume = 4/3 πr^3

4/3 times 3.14 times 2cm^3

Answer:

33.51 cm³  (closest to Answer B)

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.

With r = 2 cm, the volume is

V = (4/3)π(2 cm)³ = 33.51 cm³  (closest to Answer B)

Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

Answer:

A = 6 x 7

Step-by-step explanation:

To find the area of a parallelogram we use the equation of Area = base x height. In this case since the base is 6 and the height is 7, we plus in these numbers for the variables (b x h) to get the area.

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

[tex]2\pi \: r[/tex]

= 2 × 3.14 × 20

=125.6

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1 is the formula

-2-(-1)/-6-(-8) = -1/2

Hope this helps.