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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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What is the quotient of -8x∧6 over 4x∧-3 ??
Allushta [10]

Answer:

-2x^{9} is the quotient

Step-by-step explanation:

We have two expression -8x^6 and 4x^{-3}

We need to find quotient of this expression using exponent law.

First we write as quotient form,

\Rightarrow -\dfrac{8x^6}{4x^{-3}}

\Rightarrow -2x^{6-(-3)}                        (x^m\div x^n=x^{m-n})

\Rightarrow -2x^{6+3}

\Rightarrow -2x^{9}

Thus, -2x^{9} is the quotient of -8x^6 and 4x^{-3}.

8 0
3 years ago
What are these numbers in order from greatest to least
DerKrebs [107]
Answer : Square root of 21 , -4 2/3, -30/7 , -31/6 .

Explanation :

-4 2/3 = -10/3 = -3.3333
Square root of 21 = 4.58258
-31/6 = -5.1666
-30/7 = 4.2857

And arrange them from greatest to least and there we have the answer.

Hope this helps you understand !!!!
4 0
3 years ago
Simplify the Expression: 3(x - y + 5)
sveta [45]

Answer:

3x - 3y + 15

Step-by-step explanation:

Multiply everything inside the parenthesis by the outside number.

3 times X gives us 3x

3 times -Y gives us -3y

3 times 5 gives us 15

6 0
3 years ago
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{8}{2}

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0
3 years ago
In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D
laila [671]
The statement that is true is very obvious it will be that d will intersect the point at which the statement will obviously be d because the rest make no sense
6 0
3 years ago
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