3 What is the equation of a line that passes through the point(0, -3) and has a slope of 2?

Answer:

∅=53°

Step-by-step explanation:

Given opposite and hypothenuse. Use the sin ratio:

sin∅=opp/hyp

sin∅=12/15

∅=sin-1 12/15

∅=sin-1 0.8

∅=53.13010235415.

∅=53°

Answer: Small Candle = 12, Large Candle = 16

Step-by-step explanation:

Equation is this, s+l=28 2nd equation is 4s+6l=144

now you multiply every number in the second equation by -6 since positive 6 is the second equations second constant. Now you got -6s-6l=-168 And 4s+6l=144. The -6l and positive cancel so now you got -6s + 4s = -168+144. Now you got -2s = -24. Divide them both by negative two then you get s = 12. 28 candles total - 12 = 16 so 16 large candles and 12 small. L = large candles, S = small candles.

Answer:

8 small candles

16 large candles

Step-by-step explanation:

1. Approach

Set up a system of equations to solve this problem. Call the number of small candles sold (x), and the number of large candles sold (y). Have one expression model the amount of money earned, the other model the number of candles sold. Then, solve this system of equations using the process of elimination. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate. Then one can solve for the other variable, and finally, substitute the value of the variable that one found back into one of the equations, and solve for the value of the other variable.

2. Set up a system of equations

Use the given information to set up a system of equations to describe the amount earned, and the amount sold

x + y = 28 -> amount sold

4x + 6y = 144 -> amount earned

3. Solve the system

As explained above, the process of elimination is a method of solving a system of equations. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate.

x + y = 28 (*-4)

4x + 6y = 144

-4x - 4y = -112

4x + 6y = 144

___________

2y = 32

/2     /2

y = 16

4. Solve to find out how much of the other candle was sold

Now back solve, substitute the found value into one of the equations, and solve to find the other value

x + y = 28

y = 16

x + 16 = 28

    -16     -16

x = 8

Answer:

c

Step-by-step explanation:

i just did it

Answer:

it should go cup pint quart.

Answer:

24/25 = 0.96

Step-by-step explanation:

there ya go XD

Answer:

8 is your answer ^_^

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠BEF = ∠ABE   {Alternate interior angle}

∠BEF = 60

∠EQR = ∠ BEF         {Corresponding angles}

∠EQR = 60

In ΔEQR

∠QER + ∠EQR + ∠ERQ = 180 {angle sum property}

80 + 60 +x = 180

140 + x = 180

          x = 180- 140

x = 40

Answer:

x=2

Step-by-step explanation:

4x=-x+10

To find x, we first add x to each side to get rid of -x on the right side.

5x=10

Then, we divide each side by 5 to get x by itself.

x=2

And that's your answer :)

Answer:

.

Step-by-step explanation:

Answer:

I think B

Step-by-step explanation:

aaaaAjshfbd pub d guy x gu dc

The same amount deposited weekly into a bank account can be represented by a Linear.

Therefore, option A is correct.

Linear functions have a straight line as their graph. The following is the form of a linear function. a + bx = y = f(x). There is one independent variable and one dependent variable in a linear function. x is the independent variable, and y is the dependent variable.

The degree of the model for data presented as ordered pairs can be determined by determining the differences between dependent values.

If the same amount deposited weekly into a bank then the difference between consecutive deposits will be same.

Thus, the situation shows the linear function.

Learn more about linear function here:

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40=4(3d-5)

40=12d-20

60=12d

5=d

d=5

Answer:

3a^2 + 28b^2 - 5ab

Step-by-step explanation:

here's your solution

=> to subtract (12x^2 + 15ab - 29b^2) from

( 15a^2 + 10ab + 8b^2)

=> (15a^2 + 10ab + 8b^2) - (12a^2 + 15ab - 20b^2)

=> 15a^2 + 10ab + 8b^2 - 12a^2 - 15ab + 20b^2

=> 15a^2 - 12a^2 + 8b^2 + 20b^2 + 10ab - 15ab

=> 3a^2 + 28b^2 - 5ab

hope it helps

Answer:

504 is the answer

hope this helps

andddd yeaaaaaaa hope !!!!!!!

Answer:

THE ANSWER IS 3×2-5×+6

Step-by-step explanation:

HERE IS A PIC OF THE WORK

Answer:

[tex]\frac{x}{20}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{4}[/tex] - [tex]\frac{x}{5}[/tex]

The LCM of 4 and 5 is 20

= [tex]\frac{5x-4x}{20}[/tex]

= [tex]\frac{x}{20}[/tex]

Answer:

Step-by-step explanation:

x+x+9=65

2x=56

x=28

28,37

Answer:

one number= 28, other number= 37

Step-by-step explanation:

9+x+x=65

9+2x=65

2x=56

x=28

Answer: The geometric mean is √24 * 32 = √768 = 16√3.

The geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let x be the geometric mean between 28 and 32

The formula for the geometric mean:

x = √(a×b)

x = √(28×32)

x = √800

x = 20√2

x = 28.284

or

x = 28.29

Thus, the geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

Learn more about the mean here:

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Answer:

20 miles after 10 track practices

Step-by-step explanation:

8/4= 2 miles per 1 practice

He runs 2 miles a track practice so 10 practices (2 miles) = 20 miles

Answer:

y=x

Step-by-step explanation:

When y=x, then the line goes up 1 and right 1.

Answer:

[tex] - \frac{1}{5} [/tex]

Answer:

y=3x-3

Step-by-step explanation:

insert the first point into y=mx+b

3=2m+b

----------------

Do it again with the other point

6=3m+b

-------------

Now put both equations in a system of equations

3=2m+b

6=3m+b

solve for m and b

m=3 and b=-3

y=3x-3

m=slope

b=y-intercept