find the equation of line (use exact numbers)​

Answer:

x = -19

Step-by-step explanation:

For this problem, we simply need to get rid of the fractions so we can easily solve for x.

To get rid of these fractions, we will multiply the whole equation by the LCD which is 2 * 3 = 6.

( x / 2) - ( 1 / 2) = ( 2x / 3) + ( 8 / 3 )

6 * ( x / 2) - 6 * ( 1 / 2) = 6 * (2x / 3) + 6 * ( 8 / 3 )

3x - 3 = 4x + 16

3x - 3x - 3 - 16 = 4x - 3x + 16 - 16

0x - 19 = x + 0

x = - 19

Thus, for the equation to be true, x must be equal to negative 19.

Cheers.

Answer:

Answer= -19

Step-by-step explanation:

x/2 - 1/2 = 2x/3 + 8/3

x-1 / 2 = 2x+8 / 3

(x - 1) × 3 = (2x + 8) × 2

3x - 3 = 4x + 16

3x - 4x = 16 + 3

-x = 19

x = -19.

Thus, the value of x will be -19.

Hope it helps.

Mark it as Brainliest.

Answer:

8 or 32

Step-by-step explanation:

So we are given two coordinates and the length of the segment formed by those coordinates.

To find the unknown coordinate, we can use the distance formula. Let the unknown value be n:

Let's let (-2,n) be x₁ and y₁ and let (-7,20) be x₂ and y₂.

The distance formula is given by the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute (-2,n) for x₁ and y₁ and (-7,20) for x₂ and y₂. Also, since we already know that the length is 13, substitute it for d. Thus:

[tex](13)=\sqrt{((-7)-(-2))^2+((20)-(n))^2}[/tex]

Do the operations within the parentheses:

[tex]13=\sqrt{(-7+2)^2+(20-n)^2}\\13=\sqrt{(-5)^2+(20-n)^2}[/tex]

Now, square both sides to take out the square root:

[tex](13)^2=(\sqrt{(-5)^2+(20-n)^2})^2[/tex]

Simplify:

[tex]169=(-5)^2+(20-n)^2[/tex]

Square (-5):

[tex]169=25+(20-n)^2[/tex]

Subtract 25 from both sides. The right cancels:

[tex](169)-25=(25+(20-n)^2)-25\\144=(20-n)^2[/tex]

Now, take the square root of both sides.

[tex]\pm\sqrt{144}=\sqrt{(20-n)^2}[/tex]

Simplify:

[tex]\pm12=(20-n)[/tex]

So, we have two solutions:

[tex](12=20-n)\text { or }(-12=20-n)[/tex]

On the left, subtract 20. On the right, also subtract 20:

[tex](-8=-n)\text { or }(-32=-n)[/tex]

Divide both sides by -1:

[tex](n=8)\text{ or } (n=32)[/tex]

So, our two possible answers are 8 or 32.

Answer:

[tex]f^{-1} (x)=-\frac{x}{5} +2[/tex]

Step-by-step explanation:

hope this helps

Answer:

2(1+4p-6p)-3(1-p)

= 2(1-2p)-3(1-p)

= 2-4p-3(1-p)

= 2-4p-3+3p

= 2-3-4p+3p

= -1-p

I'm not sure if you need the equation or the answer, but here is both.

Answer:

Gina=1/4 of 32=8 cans

Lisa=3/8 of 32 =12

Jen=1/4 of 32=8

Seth=1/8 of 32=4

total cans =32

Lisa collected 12 cans, Seth collected 4 cans

Lisa collected 8 cans more than Seth

Answer:

(–∞, 8)

Step-by-step explanation:

Answer:

Hey there!

15x-43+8x+18=90

23x-25=90

23x=115

x=5

RSQ=15(5)-43, or 32

TSQ=8x+18, or 58

Let me know if this helps :)

Answer:

option 3 is the correct.....

Step-by-step explanation:

multiplying all the algebraic expressions

volume of cuboid = 3x (x+3)(x+1)

= 3x³ + 12x² + 9x

Answer:

-3, -2.4, -2 1/4, -1.5, -1 1/8

Step-by-step explanation:

The bigger the negative number is, the smaller it gets.

Answer:

B

Step-by-step explanation:

edge 2022

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 1 = - 41}[/tex]

Move 7 to right hand side and change it's sign

[tex] \dashrightarrow \sf{ - 6x = - 41 - 1}[/tex]

Calculate

[tex] \dashrightarrow{\sf{ - 6x = - 42}}[/tex]

Divide both sides by -6

[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 42}{ - 6} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 7}}[/tex]

Hope I helped!

Best regards! :D

-6x+1=-41.                                                                     -6x= -42.                                                                   (-6x/6=x) (-42/6=7).                                                     X=7

Answer:

A. 2^-6

C. 4^-3

Step-by-step explanation:

Iris found a value of 1/64 when she evaluated an expression.

Which could have been the expression Iris evaluated? Check all that apply.

A. 2^-6

B. 6^-4

C. 4^-3

D. (1/2)^-5

E. (1/4)^-3

A. 2^-6

= 1 / 2^6

= 1 / 2*2*2*2*2*2

= 1 / 64

B. 6^-4

= 1 / 6^4

= 1 / 6*6*6*6

= 1 / 1,296

C. 4^-3

= 1 / 4^3

= 1 / 4*4*4

= 1 / 64

D. (1/2)^-5

= 1 ÷ (1/2)^5

= 1 × 2/1^5

= 2^5

= 2*2*2*2*2

= 32

E. (1/4)^-3

= 1 ÷ (1/4)^3

= 1 × 4/1^3

= 4^3

= 4*4*4

= 64

Options A. 2^-6 and C. 4^-3 are equivalent to 1/64

Answer:

2-6,4-3

Step-by-step explanation:

Answer:

26.8336 ≈ 26.83

Step-by-step explanation:

If x < 5, then we round down.

If x ≥ 5, then we round up.

2 decimal places is the hundredths place.

26.8336

3 < 5, so we round down

26.83

Answer:

8000 feet i think so yeah

Answer: (6/18) represents how 6 pounds (lb) of rice costs $18.

Step-by-step explanation: the x axis is labeled as the amount of rice, so the x value, 6 would correspond to that. same thing for the y axis.

Answer: 1/3

aka:33.33%

Step-by-step explanation:

3/9=1/3

Answer:

√(64/25)^2.

=(8/5)^-1.

1÷8/5.

5/8

Answer:

6

Step-by-step explanation:

|-6| = 6

Answer:

6

Step-by-step explanation:

you can also understand absolute value as the distance in the number line from -6 to 0

and that's 0-(-6)

=6

so

|-6|=6

Answer:

-4

Step-by-step explanation:

-4x is a term

Coefficient of variable x = -4

Answer:

A=0 B=4 C=2

Step-by-step explanation:

check your answer in the attached file

Answer:

k=4

Step-by-step explanation:

euqation of the graph

(1) g(x)= x+3

We have

(2) g(x)=f(x)+k

(3) g(x)=x-1+k

(1) =(3)

x+3 =x -1 + k

-x      -x

3= -1+k

k= 4

Answer:

[tex]\Huge \boxed{\mathrm{7}}[/tex]

Step-by-step explanation:

[tex](-8)+8-(-7)[/tex]

Distributing the negative sign to the term in the bracket.

[tex]\Rightarrow (-8)+8+7[/tex]

Combining.

[tex]\Rightarrow 7[/tex]

Answer:

1°

Step-by-step explanation:

There are 360 degrees in a circle.

Thus, if a circle turns x degrees, then it will represent x/360 of the entire circle.

Since the rotation represented 1/360 of the entire circle, this means that the measure of the angle must be only 1 degree.

Answer:180

Step-by-step explanation:

An angle turns through n one degree angles is said to have an angle measure of n degrees

Answer:

b-108y³/x²

Step-by-step explanation:

4x^-2/(3y)^-3

negative exponent in nominator , moves to  denominator and becaomes positive , and vice versa

4(3y)³/x²=4(27y³)/x²

108y³/x²

Answer:

3

Step-by-step explanation:

To simplify this expression, we will simply work with the numerator, then the denominator, and then the fraction as a whole, following PEMDAS.

Numerator:  12 - 6 + 5 * (-3)^2

= 12 - 6 + 5 * (9)

= 12 - 6 + 45

= 6 + 45

= 51

Denominator:  17

So our simplified fraction is as follows:

51/17

Which can be reduced to the whole number, 3.

Cheers.

Answer:

15 days

Step-by-step explanation:

a) Li uses = 8.4 grams of sugar every day in her tea.

Li’s sugar canister contains = 128 grams of sugar

Let x be the number of days at which Li uses sugar in her tea

The Equation for Li's sugar usuage =

y = 128 - 8.4x ......... Equation 1

Where y , the quantity of sugar left.

b) Sue uses = 12.6 grams of sugar every day in her coffee.

Sue’s canister contains = 191 grams

Let x be the number of days at which Sue uses sugar in her tea

The Equation for Sue's sugar usuage =

y = 191 - 12.6x .........Equation 2

Where y , the quantity of sugar left.

We are asked in the question, how many days will Li and Sue have the same amount of sugar in their canisters

We would equate both equations to each other.

Equation 1 = Equation 2

y = 128 - 8.4x = y = 191 - 12.6x

128 - 8.4x = 191 - 12.6x

-8.4x + 12.6x = 191 - 128

4.2x = 63

x = 63/4.2

x = 15

15 days

Therefore Li and Sue have the same amount of sugar in their canisters after 15 days.

To confirm

Equation 1 = Equation 2

y = 128 - 8.4x = y = 196 - 12.6 × 15

y = 128 - 8.4 × 15 = y = 196 - 12.6 × 15

y = 128 - 126 = y = 196 - 189

y = 2 = y = 2

Answer:

Step-by-step explanation:

Using the rules of indices

Since the bases are the same and are dividing we subtract the exponents

That's

So we have

Using the rules of indices

So we have the final answer as

Hope this helps you

Answer:

y=8x

Step-by-step explanation:

There is no why intercept because there is no additional boarding fee, so the only part of the equation you get is y=mx.  In this equation, that is y=8x, where "x" is the number of hours in the cab, 8 represents the cost per hour, and "y" is the total cost of the entire cab ride.

Answer:As long as you don't put a bulb that uses more than 60 watts in that socket you will be fine.

Step-by-step explanation:the energy-saving bulbs that replace a 60-watt incandescent will only use 10 to 15 watts, depending on the actual bulb you buy, and give off the same amount of light.