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3 years ago

Compare the perimeter and area of the original figure to the enlarged figure using proportions.

Mathematics

2 answers:

bulgar [2K]3 years ago

5 0

Answer:

The enlarged area is 4 times the original area, which is the square of the scale factor, The enlarged perimeter is 2 times the original perimeter, which is the scale factor, The perimeter is proportional to the scale factor and the area is proportional to the square of the scale factor.

Step-by-step explanation:

Anuta_ua [19.1K]3 years ago

3 0

Answer:

The answers are A, C, and D, hope this helps!

Step-by-step explanation:

I took the assignment and got it right

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The price of an athletic sweatshirt that normally cost $55 goes on sale for 25% off. What is the new selling price of the sweats

Nata [24]

Answer:

Original price: $ 55

Discount percentage: 25 %

Discount: $13.75

Final Price: $41.25

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3 years ago

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your

natima [27]

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500-mile trip if you drive at an average speed of 54 miles per hour

$= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.$

The driving time for a 2500-mile trip if you drive at an average speed of 65 miles per hour

$= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.$

7 0

3 years ago

11. Let f(x) = 2x² + 7x + 5

Lady_Fox [76]

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

7 0

3 years ago

A _______ is a variable, an integer or a product of variables and<br> integers.

Assoli18 [71]

Product variation .

3 0

2 years ago

5c squared- d squared+3/2c - 4d...c= -1. d= -4

riadik2000 [5.3K]

For this case we have the following expression:

$5c ^ 2-d ^ 2 + \frac {3} {2} c-4d$

We must find the value of the expression when:

$c = -1\\d = -4$

Substituting we have:

$5 (-1) ^ 2 - (- 4) ^ 2 + \frac {3} {2} (- 1) -4 (-4) =\\5 (1) -16- \frac {3} {2} + 16 =\\5-16- \frac {3} {2} + 16 =\\-11- \frac {3} {2} + 16 =\\- \frac {25} {2} + 16 =\\\frac {-25 + 32} {2} =\\\frac {7} {2}$

Finally, the value of the expression is:

$\frac {7} {2}$

ANswer:

$\frac {7} {2}$

5 0

3 years ago