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EastWind [94]
3 years ago
8

Fran used a graphics program to reduce a

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

The reduced dimensions are:

Width = 12 cm

Length = 7.2 cm

Step-by-step explanation:

Original dimensions of Image:

Width = 20 cm

Length = 12 cm

Fran reduced the dimensions using a scale factor of 0.6

We need yo find dimensions of reduction.

We would multiply the original dimensions by 0.6 to find the new dimensions.

So, Width = 20 * 0.6 = 12

length = 12 * 0.6 = 7.2

So, the reduced dimensions are:

Width = 12 cm

Length = 7.2 cm

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A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line?
harina [27]
To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.

SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.

To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.

To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.

Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.

Using the graph, we can see the equation for this line is y=1/2x+1.5.

8 0
3 years ago
Hayden is organizing his assets and liabilities in the table below. If his net worth is $17,550, then how much does he have in h
77julia77 [94]

Answer: His checking account balance is $2,800.

Step-by-step explanation: What Hayden is doing is comparing his assets against his liabilities. This will determine his net worth. His assets ideally are those that increase his net worth such as landed properties, etc while his liabilities in the simplest language are those debts he is paying off either right away, or that he must pay off eventually.

In other words, to determine his net worth, Hayden has to add up all his assets and from the total derived, deduct his liabilities.

Consider the calculations below;

NET WORTH: $17,550

Add ASSETS  

                         Automobile               13600  

                         Retirement Account   6700

                         Checking Account      XX

Less LIABILITIES

                          Student Loan            4800

                          Credit card debt          750

Net Worth                                            <u>17550</u>

The above table can be simplified as follows;

Net worth = Assets - Liabilities

17550 = 20300 + XX - 5550

Collecting like terms, you now have;

17550 -20300 +5550 = XX

2800 = XX

The Checking Account represented by XX is now calculated as $2,800

7 0
3 years ago
brenda runs 3 miles every morning.What is the time taken to complete her daily jogging if she jogs one mile in 6 mins
anastassius [24]
6x3=18 so the answer is 18 minutes
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3 years ago
Help Plez<br> Thanksssssssssasss :P
Nimfa-mama [501]

Step-by-step explanation:

1.s^13

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They are the required answers.

4 0
3 years ago
Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.
Evgesh-ka [11]

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

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So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

3 0
3 years ago
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