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saw5 [17]
3 years ago
14

The work of a student to solve the equation 2(5y − 2) = 12 + 6y is shown below:

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0
We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4

In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

Step 2: 10y – 4 = 12 + 6y

I hope this helps!
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Graph the line for y+1=−3/5(x−4) on the coordinate plane. Move Line Undo Redo Reset
dsp73

Answer:

The equation of  line is shown below.

Step-by-step explanation:

The equation of line is

y+1=\frac{-3}{5}(x-4)

It is the point slope form of a line, therefore the slope of the line is \frac{-3}{5} and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

y=\frac{-3}{5}x+\frac{12}{5}-1

y=\frac{-3}{5}x+\frac{12-5}{5}

y=\frac{-3}{5}x+\frac{7}{5}

The point slope form of a line is

y=mx+b

Where m is the slope and b is y-intercept.

Therefore the slope of the line is \frac{-3}{5} and the y-intercept of the line is \frac{7}{5}.

Slope is defined as

m=\frac{Rise}{Run}

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is (0,\frac{7}{5}).

(0-5,\frac{7}{5}+3)=(-5,\frac{22}{5})=(-5,4.4)

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.

7 0
2 years ago
Solve for x. -3+6=2x-24
Svetlanka [38]

Answer:

13.5=x

Step-by-step explanation:

-3+6=2x-24

3=2x-24

+24   +24

___________

27=2x

÷2   ÷2

___________-

13.5 = x

Hope this helps :D

7 0
2 years ago
kiersten has 23 red balloons. Catherine has 8 times more red balloons than Spirit. How many more red balloons does catherine hav
Gelneren [198K]

Answer:

161 is your answer.

Step-by-step explanation:

Easy! If Kiersten has 23 balloons and Catherine has 8 times more than Kiersten, all we need to do is multiply. 23x8=184. Now to figure out how many more red balloons Catherine has compared to Kiersten we need to subtract Kiersten's amount from Catherine's amount. 184-23=161. So Catherine has 161 more red balloons than Kiersten.

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2 years ago
WILL GIVE LOTS OF POINTS, PLEASE HELP !!!!
Dima020 [189]

Answer:

Terminal side in 2nd Quadrant

Only sin(x) & cosec(x) are positive in 2nd Quadrant

\sin( x )  =  \frac{5}{13}  \\

Perpendicular=5

Base=√(13²-5²)=√(169-25)=√144=√12²=12

Hypotenuse=13

\cos(x)= -  \frac{12}{13}  \\ \tan(x)  =  -  \frac{5}{12}  \\  \cosec(x)  =  \frac{13}{5}  \\  \sec(x)= - \frac{13}{12}  \\\cot(x) =  -  \frac{12}{5}

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2 years ago
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