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Ber [7]
3 years ago
12

Translate 3 toothpicks and the eye to make the fish swim the other way, show the translation vectors each translation.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0
Move the toothpick at row 2, column 1 two rows down.
Move the toothpick at row 1, column 2 four rows down.
Move the toothpick at row 2, column 3 two rows down.
Move the eye one row down and two columns right.
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allochka39001 [22]

Answer:

Heads

Step-by-step explanation:

4 0
3 years ago
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Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for
Anuta_ua [19.1K]

Answer:

Function: y=140+25x

Amount earned for 10 hours of work: \$390

Step-by-step explanation:

Let be "x"  the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

  • $140 is a fixed amount.
  • For each hour worked on the project, Luigi charges $25. This can be expressed as: 25x

Then, the total amount he charges for a project is the sum of $140 and 25x. This can be represented with the following function:

y=140+25x

To calculate the amount of money earned for 10 hours of work, you must substitute x=10 into the function and evaluate. Then:

y=140+25(10)\\\\y=390

7 0
3 years ago
What is the result of subtracting the second equation from the first x-3y=6 and -8x-y=6
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-3*y-(6)=0  

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   x-3y-6  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE

7 0
3 years ago
Factor the binomial expansion. 81x4 – 648x3 + 1,944x2 – 2,592x + 1,296
scoray [572]

Answer:

648(x^{3} + 3x^{2} - 4x + 2)

Step-by-step explanation:

When factoring an expression like this, you need to divide all of the parts by a common number or variable. In this case, the only thing all of these numbers share is that they are divisible by 648. So, you would divide each number by 648 to simplify it, getting 1, 3, 4, and 2. Put these numbers in front of their respective variables, and put 648 outside of the parentheses to get the final answer.

6 0
2 years ago
isabel deposits$6000 into an account that earns1.5% interest compounded monthly. assuming no more deposits and no withdrawals ar
timama [110]
Interest earned in a month
(1.5/100) * 6000
90

Number of months in 4 years 
12*4
48

So the interest earned in 4 years
90*48
4320 dollars
3 0
3 years ago
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