MATHEMATICS COLLEGE

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?ΔDEF ≅ ΔSUR
ΔDEF ≅ ΔSRU
ΔDEF ≅ ΔRSU
ΔDEF ≅ ΔRUS
Triangle DEF is reflected over the y-axis, and then translated - 1

Answers

Answer 1
Answer: The point D transformed into S
The point E transformed into R
The point F transformed into U

The lengths are angles didn't change as result of the transformations (rotation and translation do not change the shape nor dimensions).  Then, the resulting triangle is congruent to the original triangle.

Using the same order for the letters, you might say that ΔDEF ≅ ΔSRU
Answer 2
Answer:

Answer: B.)   ΔDEF ≅ ΔSRU

Step-by-step explanation:

The answer is correct on Edge.

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Use the distributive property to remove the parentheses.2x+(6x2-9)
Simplify your answer as much as possible.

Answers

After removing the parentheses using the distributiveproperty, the expression2x^4 (6x^2 - 9) simplifies to 12x^6 - 18x^4.

We have,

To remove the parentheses using the distributiveproperty, we need to multiply each term inside the parentheses by the term outside the parentheses.

Applying the distributiveproperty to the expression2x^4 (6x^2 - 9), we have:

2x^4 * 6x^2 - 2x^4 * 9

Multiplying the terms:

12x^6 - 18x^4

Therefore,

After removing the parentheses using the distributiveproperty, the expression 2x^4 (6x^2 - 9) simplifies to 12x^6 - 18x^4.

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Answer: 12x^6 - 18x^4

Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height. Suppose also that a beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons. What is the maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

Answers

4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

What is Weight?

Gravitational force of attraction on an object, caused by the presence of a massive second object, such as the Earth or Moon.

Given,

Maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height.

beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons.

W = k × w × h²/ L

8 = k × 5 × 2² / 10

8 = k ×20/10

8 = 2 × k

k = 4

The maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

w =4 ×6 ×2² / 24

= 24 ×4/ 24

W=4 tons

Hence 4 tons is maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long

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Way: W = k * w  * h^2/ L

Which of the following expressions is equal to 5^6/ 5^2?1.) 5×5×5

2.) 1/5×5×5×5

3.) 5×5×5×5

4.) 3

Answers

The value of the expression 5⁶ / 5² will be 5 x 5 x 5 x 5. Then the correct option is C.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 5⁶ / 5²

Simplify the expression, then the value of the expression will be

⇒ 5⁴

⇒ 5 x 5 x 5 x 5

The value of the expression 5⁶ / 5² will be 5 x 5 x 5 x 5. Then the correct option is C.

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Answer:

3

Step-by-step explanation:

When dividing exponents you subtract the top exponent from the bottom exponent so you would have 6-2 which is 4. Answer 3 is the only one that has 4 5's in the numerator.

What's another way to write 2^6?A. 2•6

B. 6•2

C. 2•2•2•2•2•2

D. 6•6

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 2•2•2•2•2•2

Step-by-step explanation:

Exponents show how many times a number is being multiplied by itself.

For 2^6 you would have to multiply 2 by itself 6 times. Thus getting 64 in the end.

1) If a bookshelf is 28 inches long, how many 1 inch books will fit on the bookshelf?
​

Answers

Answer:

28

Step-by-step explanation:

28/1 = 28
28 books would be able to fit on the bookshelf is it is 28 inches an the books are all 1 inch you can fit 28

a jeepney ride in the sinakos 9 pesos for the first 4 kilometers and each additional km at 0.75 pesos to the fair use a piecewise function to represent the jeepney fare in terms of the distance in kilometers​

Answers

Answer: f(x) = 9 pesos if  0km ≤ x ≤ 4km

f(x) = 9 pesos + (x - 4km)*0.75 pesos if  4km ≤ x

Step-by-step explanation:

Ok, we know that:

For the first 4km, we have a fixed price of 9 pesos.

For any km after the 4km mark, we have an extra of 0.75 pesos.

Then if x is the number of kilometers, we can write this as:

f(x) = 9 pesos if  0km ≤ x ≤ 4km

f(x) = 9 pesos + (x - 4km)*0.75 pesos if  4km ≤ x

Where we use (x  - 4km) because we start counting after the 4km mark.
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