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Slav-nsk [51]
2 years ago
10

Triangle EFG is dilated by a scale factor of 1/4 ​ to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of

side EF?
Mathematics
1 answer:
WINSTONCH [101]2 years ago
6 0

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of \frac{1}{4} i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125

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Factor completely: 2x4 − 32.
vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

Step-by-step explanation:

Given expression is 2x^4-32

To find the completed factor for the given expression:

2x^4-32:

Taking the common number "2" outside  to the above expression we get

2x^4-32=2(x^4-16)

Now rewritting the above  expression as below

=2(x^4-2^4)  (since 16 can be written as the number 2 to the power of 4)

=2((x^2)^2-(2^2)^2)

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x^2 and  b=2^2

Therefore it becomes

=2(x^2+2^2)(x^2-2^2)

=2(x^2+4)(x^2-2^2)  

The above expression is of the form a^2-b^2=(a+b)(a-b)

Here a=x and  b=2

Therefore it becomes

=2(x^2+4)(x+2)(x-2)  

=2(x+2)(x-2)(x^2+4)  

Therefore =2(x+2)(x-2)(x^2+4)  

2x^4-32=2(x-2)(x+2)(x^2+4)  

Option b) is correct.

The completed factor of given expression is  2(x-2)(x+2)(x^2+4)

3 0
3 years ago
Read 2 more answers
Please help!!! My math teacher doesn’t explain things well.
abruzzese [7]

When you look at the graph, the X is the x value and the one on the f(x) is the y value, imagian it is on a graph and x is the steps you have to walk then imagain a ladder you have to go as high as the f(x) value says, then mark them. if they follow a pattern then write it down, if it does not then write incosentant.

Have a nice day.

8 0
3 years ago
Surface area of a triangular prism
jok3333 [9.3K]

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

8 0
3 years ago
The sum of twice c and 10​
Molodets [167]

Answer:

2c+10

Step-by-step explanation:

3 0
3 years ago
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A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
lions [1.4K]

Answer: 90 visitors per hour

Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.

To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

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If we divide the numerator and denominator of 450/5 by 5,

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So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

3 0
3 years ago
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