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Sloan [31]
3 years ago
11

Quadrilateral ABCD is dilated about the origin into quadrilateral EFGH

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

The scale factor = 2.

Step-by-step explanation:

The scale factor is the distance of G from the original divided by the distance of C from the origin.

= √(16^2 + 8^2 - 0) / √(8^2 - 4^2) = 0)

=  √(192) / √(48)

= 2.

olga nikolaevna [1]3 years ago
5 0

Answer:

2

Step-by-step explanation:

8 x 2 = 16

4 x 2 = 8

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Jake is comparing the prices of two laundry service companies. Company A charges $20 per load and an additional $8 as service ch
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company A : 20x + 8
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Read 2 more answers
Ephraim took a friend for a birthday dinner. The total bill for dinner was $30.29 (including tax and a tip). If Ephraim paid a 2
notka56 [123]

Answer:

x= 30.29 (1-0.223) = 23.54

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

Step-by-step explanation:

For this case we assume the following notation:

T= 30.29 represent the total paid for the dinner

x represent the amount before adding the tip

f =0.223 represent the fraction of the total amount destined to the tip

Based on this we can create the following relationship between T and x:

T = f*T + (1-f)T = f*T + x

And we can solve for x from the previous equation like this:

x = T - f*T

Taking T common factor we got:

x = T (1-f)

And if we replace we got:

x= 30.29 (1-0.223) = 23.54

And the amount destined to the tip would be fT = 0.223*30.29=6.75

And if we add the two values we see that:

23.54+6.75 = 30.29 representing the total cost.

So then the correct answer for the question:

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

4 0
2 years ago
If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be
ser-zykov [4K]

Answer:

A

Step-by-step explanation:

A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.

6 0
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