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3 years ago

How does a scale factor change the size of a figure?

Mathematics

2 answers:

IceJOKER [234]3 years ago

8 0

The scale factor can change how big or small a figure is, though it will still be similar. For example, a triangle with two sides measuring 3 & 3 (isosceles) are scaled in a factor of 6 (becoming larger).

3 x 6 = 18

The new triangle will have the sides measuring 18. Even though the triangles are not congruent, they are similar.

hope this helps

nikitadnepr [17]3 years ago

8 0

Hello!

The scale factor shows how much a figure is dilated. For example, if you have a square that has an area of 4, and it is dilated by a scale factor of 2, its area will become 8, or with a scale factor of 1/2, it will become 2/

I hope this helps!

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Rewrite the sum of 30 and 42 by factoring out of the greatest common factor

kvasek [131]

Answer:

Step-by-step explanation:

Factors of 30: 1,2,3,5,(6),10,15,30

Factors of 42: 1,2,3,(6),7,14,21,42

30 divided by 6, 42 divided by 6

(5) + (7)= 12

8 0

2 years ago

Many experts have argued for the elimination of rote memorization as a method for learning mathematical facts such as basic oper

N76 [4]

I think they should keep it around, even if it might not be the most efficient strategy. After all, what if you need to solve a problem using multiple strategies?

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3 years ago

Molly has a $2500 down payment saved for this purchase, and the dealer’s $1500 Cash Allowance will come straight off her total.

babunello [35]

Answer: $\$\ 1000$

Step-by-step explanation:

Given

Molly down payment $=\$\ 2500$

Dealer's allowance $=\$\ 1500$

For loan amount , It is equal to the difference of molly down payment and dealer allowance

loan amount $=2500-1500$

loan amount $=\$\ 1000$

So, Molly needs $\$\ 1000$ loan

8 0

3 years ago

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

Nikolay [14]

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hour
The function that models the table is: $\mathbf{f(x) = 9x }$
The amount earned in 7.5 hours is $67.5

(a) The average rate of change

This is calculated using:

$\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}$

$\mathbf{Rate = \frac{9}{1.0}}$

$\mathbf{Rate = 9.0}$

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

$\mathbf{y =m (x - x_1) + y_1}$

Where:

m =Rate = 9.0

So, we have:

$\mathbf{y = 9(x - 2.5) + 22.5}$

Expand

$\mathbf{y = 9x - 22.5 + 22.5}$

$\mathbf{y = 9x }$

Represent as a function

$\mathbf{f(x) = 9x }$

Hence, the function that models the table is: $\mathbf{f(x) = 9x }$

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

$\mathbf{f(7.5) = 9 \times 7.5 }$

$\mathbf{f(7.5) = 67.5}$

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0

2 years ago

The speed of the current in a creek is 2mph. A person can kayak 10 mi upstream in the same time that it takes him to kayak 14 mi

ad-work [718]

Answer:

2 hours

Step-by-step explanation:

The relation between time, speed, and distance is ...

time = distance/speed

For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...

10/(k-2) = 14/(k+2)

Multiplying by (k+2)(k-2) gives ...

10(k+2) = 14(k -2)

10k +20 = 14k -28 . . . . . eliminate parentheses

48 = 4k . . . . . . . . . . . . . . add 28-10k

12 = k

Then the time for 28 miles downstream is ...

time = 28 / (12 +2) = 2 . . . . hours

It will take the person 2 hours to kayak 28 miles downstream.

5 0

3 years ago