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Tom [10]
3 years ago
8

The coordinates of the vertices of △DEF are D(2,−1) , E(7,−1) , and F(2,−3) . The coordinates of the vertices of △D′E′F′ are D′(

0,−1) , E′(−5,−1) , and F′(0,−3) . What is the sequence of transformations that maps △DEF to △D′E′F′ ? A sequence of transformations that maps △DEF to △D′E′F′ is a ___________ followed by a ___________
A) Translation 2 units right
B) Rotation of 180 degrees about the origin
C) Reflection across the y-axis
D) Translation 2 units up

Choose 2 correct answers.
Mathematics
1 answer:
inn [45]3 years ago
3 0
One is a translation 2 units right but i don't know about the other one
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GarryVolchara [31]

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The answer is .393.  Hope this helps.

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3 years ago
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The sum of two expressions
vagabundo [1.1K]

Answer:

4x + 2y

Step-by-step explanation:

If you subtract 5x + 3y from 9x + 5y, you get:

  9x + 5y

<u> - 5x + 3y</u>

  4x + 2y

7 0
3 years ago
Can someone please explain why this is incorrect? Isn’t (2x+5)(x+1) the same as (x+1)(2x+5)?
Ne4ueva [31]

Answer:

2(2x+5) (x+1) = 2(x+1)(2x+5)

Step-by-step explanation:

4x^2 +14x+10

Factor out the 2

2(2x^2 +7x+5)

2(2x+5) (x+1)


You need to keep the 2 that you factored out

2(2x+5) (x+1) = 2(x+1)(2x+5)  by the  Commutative Property of Multiplication

4 0
4 years ago
Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
Natalija [7]

Answer:

4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 4.

2 - What is the highest degree of x that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})

3) Simplify each term in parentheses.

4(3{x}^{3}-15{x}^{2}+x-5)

4) Factor out common terms in the first two terms, then in the last two terms.

4(3{x}^{2}(x-5)+(x-5))

5)  Factor out the common term x-5.

4(x-5)(3{x}^{2}+1)

5 0
2 years ago
If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t h
Nataly_w [17]

Answer:  1.58 hours

<u>Step-by-step explanation:</u>

5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t

5 0
3 years ago
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