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nadezda [96]
3 years ago
8

Triangle QRS and triangle QTV are similar. Which equation must be true?

Mathematics
1 answer:
Stells [14]3 years ago
6 0
Yes it is that looking at. The paragraph
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
Sedaia [141]

Answer:

f(x) = 2(x –3)²

Step-by-step explanation:

f(x) = 2x² – 12x + 18

The vertex form of the above expression can be obtained as follow:

f(x) = 2x² – 12x + 18

Factorise

f(x) = 2(x² – 6x + 9)

Next, we shall simplify x² – 6x + 9 by factorisation method.

This is illustrated below:

x² – 6x + 9

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.

The factors are –3x and –3x

Next, replace –6x with –3x and –3x in the equation above as shown below:

x² – 6x + 9

x² – 3x –3x + 9

Factorise

x(x – 3) –3(x –3)

(x –3)(x –3)

(x –3)²

f(x) = 2x² – 12x + 18

f(x) = 2(x² – 6x + 9)

f(x) = 2(x –3)²

Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is

f(x) = 2(x –3)²

4 0
3 years ago
Fred invests $12,993 into an account that yields 5.59% interest annually. how much interest will Fred have earned after 16 years
daser333 [38]

Answer:

Fred would have earned $31,022.31 after 16 years.

Step-by-step explanation:

To calculate compound interest, the initial capital must be multiplied by the interest rate applied to the capital, and in turn, this number must be exponential by the number of years that the investment lasts. Thus, in the case, the equation would be the following:

12.993 x (1 + 0.0559) ^ 16

In this way, multiplying the result exponentially by 16 years, the final compound interest would be $ 31,022.31.

5 0
3 years ago
The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?
Nostrana [21]

Answer:

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

\:a\:\times \:b\:\times \:\pi

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

  • The value of a = major axis/2 = 25/2 = 12.5 inches
  • The value of b = minor axis/2 = 4/2 = 2 inches

Thus

The area of the ellipse:

                                     Area = \:a\:\times \:b\:\times \:\pi

                                              =\:12.5\:\times\:2\:\times\:\pi

                                              =25\pi

                                               =78.5 inches     ∵ \pi =3.14

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

5 0
3 years ago
Marissa is drawing a coin from a bag that contains 5 pennies, 4 nickles , 5 dimes and 2 quarters.
snow_lady [41]
Marissa has $1.25 in change
6 0
3 years ago
PLEASE HELP ASAP IM PANICKING :(((
Inessa [10]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
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