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tester [92]
2 years ago
7

Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transfor

mation? (x , y) → (6x, −4y) (x , y) → ( -6 x, 4y) (x , y) → (x − 6, y + 4) (x , y) → (x + 6, y − 4) Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation? (x , y) → (6x, −4y) (x , y) → ( -6 x, 4y) (x , y) → (x − 6, y + 4) (x , y) → (x + 6, y − 4)
Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0

Answer:

Step-by-step explanation:

(X,y) (x-6, y+4)

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slavikrds [6]

Answer: The value of the car after 3 years is $5,333.333

And no, the relationship is not linear, is an exponential decay.

Step-by-step explanation:

We know that every year, the car loses 1/3 of its value.

So if the initial value of the car is V.

After one year, the new value of the car will be:

Value (1 year) = V - (1/3)*V = (2/3)*V

After another year, the value will be:

Value (2 years) = (2/3)*V - (1/3)*(2/3)*V = V*(2/3)^2

Ok, we already can see that this is an exponential decay.

(So no, this is not a linear relationship).

The value equation as a function of the number of years will be:

Value(N) = V*(2/3)^N

Then if the initial cost of a car is $18,000, and we want to know its value after 3 years, we need to replace V by $18,000 and N by 3 in the above equation:

Value(3) = $18,000*(2/3)^3 = $5,333.333

6 0
3 years ago
This is another one helpzzz mee
Varvara68 [4.7K]
I don't know about the first one but the second one is 34.9°. It would be that because are right angles add up to 90° and if you subract 55.1 and 90 it would equal 34.9. But this rule only works on right angles.
6 0
3 years ago
Read 2 more answers
Determine the angle at the centre of a circle with radius 6.0 cm for an arc length of 8.0 cm.
sveta [45]

Answer:

Third option.

Step-by-step explanation:

You need to remember that the formula used to calculate the arc lenght is:

arc\ length=r C

Where "r" is the radius and "C" is the central angle in radians.

You need to solve for "C":

C=\frac{arc\ length}{r}

You know the radius and the arc lenght, therefore, you can substitute values to calculate the central angle in radians. Therefore, this is:

C=\frac{8.0cm}{6.0cm}

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4 0
3 years ago
Which of the following are geometric sequences?
Nana76 [90]
B. 10, 5, 2.5, 1.25, 0.625, 0.3125
5 0
3 years ago
What are the solutions?<br>8x^2-12x-23=-5​
erastova [34]

Answer:

x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4

Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 12 x - 23 = -5

Divide both sides by 8:

x^2 - (3 x)/2 - 23/8 = -5/8

Add 23/8 to both sides:

x^2 - (3 x)/2 = 9/4

Add 9/16 to both sides:

x^2 - (3 x)/2 + 9/16 = 45/16

Write the left hand side as a square:

(x - 3/4)^2 = 45/16

Take the square root of both sides:

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Add 3/4 to both sides:

x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4

Add 3/4 to both sides:

Answer:  x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4

4 0
2 years ago
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