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Vedmedyk [2.9K]
1 year ago
15

How can I make sure that each point of a Triangle was reflected across the line?

Mathematics
1 answer:
larisa86 [58]1 year ago
4 0

For example, for A and A'

Let:

R=(0,0) the reference point:

\begin{gathered} \text{Distance between A and R:} \\ d=\sqrt[]{(4-0)^2+(2-0)^2}=2\sqrt[]{5} \\ \text{Distance between A' and R} \\ d=\sqrt[]{(4-0)^2+(-2-0)^2}=2\sqrt[]{5} \end{gathered}

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Edg vector operations, any help appreciated!
viktelen [127]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c

____________________________________

\large \tt Solution  \: :

Vector d can be represented as :

\qquad \tt \rightarrow \:  - 2 \hat i - 2 \hat j

Vector c can be represented as :

\qquad \tt \rightarrow \:  4 \hat i + 4\hat j

we have to create vector d from vector c

So, let's assume a vector x, such that sum of vector x and vector c equals to vector d

\qquad \tt \rightarrow \: x + ( 4 \hat i + 4 \hat j) =  - 2 \hat i  - 2 \hat j

\qquad \tt \rightarrow \: x  = -  ( 4 \hat i + 4 \hat j)   - 2 \hat i  - 2 \hat j

\qquad \tt \rightarrow \: x  = (-   4 \hat i  - 2 \hat  i)  + (  - 4 \hat j  - 2 \hat j)

\qquad \tt \rightarrow \: x  = - 6 \hat  i    -6 \hat j

Henceforth, in order to get vector d, we need to add (-6i - 6j) in vector c

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0
2 years ago
Please help asap! Due tonight!
Contact [7]

Answer:

A, \sqrt{17}

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = \sqrt{17}

4 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!!!! PLEASE HELP ME
mina [271]
ANSWER

X = -9

EXPLANATION: you subtract 180 - 70 giving you 110

Equation set up: x + 49 + x + 79 = 110
7 0
3 years ago
Read 2 more answers
(03.05 MC) Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for
ycow [4]

Answer:

x = 0 and x = -2 are solutions of the given rational equation.

Step-by-step explanation:

We must solve the following rational equation:

\frac{x}{2} = \frac{x^{2}}{x-2}

Now we present the procedure:

1) \frac{x}{2} = \frac{x^{2}}{x-2} Given

2) x\cdot (x-2) = 2\cdot x^{2} Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.

3) x^{2}-2\cdot x = 2\cdot x^{2} Distributive property/a^{b}\cdot a^{c} = a^{b+c}

4) x^{2} + 2\cdot x = 0 Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property

5) x \cdot (x+2) = 0 Distributive property/a^{b}\cdot a^{c} = a^{b+c}

6) x = 0\, \lor\, x = -2 Result

Now we check the rational equation with each root:

x = 0

\frac{x}{2} = \frac{x^{2}}{x-2}

\frac{0}{2} = \frac{0^{2}}{0-2}

0 = \frac{0}{-2}

0 = 0

x = 0 is a solution of the rational equation.

x = -2

\frac{x}{2} = \frac{x^{2}}{x-2}

\frac{-2}{2} =  \frac{(-2)^{2}}{-2-2}

-1 = -1

x = -2 is a solution of the rational equation.

4 0
3 years ago
Help fast
tatuchka [14]

750 international minutes


100-25=75


75÷0.10=750

3 0
3 years ago
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