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Citrus2011 [14]
3 years ago
8

Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).

Mathematics
2 answers:
den301095 [7]3 years ago
8 0
   ( x, y )  → ( x-3, y+4 )
A ( 1, 1) → A' (1-3, 1+4)      A' (-2, 5)
drek231 [11]3 years ago
5 0

Answer:

A. (-2,5)  

Step-by-step explanation:

We have been given an image of a triangle ABC on coordinate plane. Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).  

The given translation rule states that we need to shift x-coordinates of ABC by 3 units to the left and y coordinates by 4 units upwards to get the coordinates of A'B'C'.  

We can see that the coordinates of point A are (1,1), so after applying the given translation rule coordinates of A' will be:

A(1,1)\rightarrow (1-3,1+4)=A'(-2,5)

Therefore, the coordinates of A' will be (-2,5) and option A is the correct choice.

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An oblique prism with a square base of edge length x units has a volume of x3 cubic units. which expression represents the heigh
vovangra [49]

The expression that represents the height of the oblique prism is: 1/2x.

What is the Volume of a Prism?

  • The volume of a prism is defined as the total space occupied by the three-dimensional object.
  • Mathematically, it is defined as the product of the area of the base and the length.

Prism Volume = base area × height of the prism

Given that the oblique prism has:

Volume = 1/2x³ cubic units

edge length = x units

Therefore,

base area = x²

Thus:

1/2x³ = (x²)(height)

Divide both sides by x²

1/2x³ ÷ x² = height

1/2x³ × 1/x² = height

x³/2 × 1/x² = height

height = x³/2x²

height = x/2

Therefore, the expression that represents the height of the oblique prism is: 1/2x.

Learn more about oblique prism

brainly.com/question/20837986

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<u>The complete question is -</u>

An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?

3 0
2 years ago
Could yall help please
ser-zykov [4K]

Answer:

C

Step-by-step explanation:

As you know, 390% is 3.9. You multiply 3.9*30 and get 117 or something. That rounds to about 120, so C.

I hoped that helped

6 0
3 years ago
In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
What does it mean to solve an equation?
Ivanshal [37]
To add, subtract, multiply or divide the number given to get a whole number or an integer
4 0
3 years ago
SIMPLIFY and SHOW WORK THANKS 3∙[ 9 – 2∙ (7 – 8)]
Zepler [3.9K]

Answer:

33

Step-by-step explanation:

3∙[ 9 – 2∙ (7 – 8)]

PEMDAS,

Parentheses, start from the inside out

3∙[ 9 – 2∙ (-1)]

3∙[ 9 +2]

3* 11

33

8 0
3 years ago
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