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3 years ago

The image of the point (2, 1) under a translation is (-3, -2). Find

Mathematics

1 answer:

nirvana33 [79]3 years ago

8 0

Answer:

(-7, -12)

Explanation:

The translation of (2, 1) to (-3, -2) is 5 units left and 3 and 3 units down

2 - 5 = -3, x-coordinate = -3

1 - 3 = -2, y-coordinate = -2

Thus that makes the coordinates (-3, -2)

So that is taking away 5 from the x-axis and 3 away from the y-axis

-2 - 5 = -7, x-coordinate = -7

-9 - 3 = -12, y-coordinate = -12

Thus, the answer is (-7, -12)

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X-(9x-10)+11=12x+3(-2x+ 1/3)

morpeh [17]

X - (9x - 10) + 11 = 12x + 3(-2x + $\frac{1}{3}$ ) equals x = $\frac{10}{7}$ .

First, simplify brackets. / Your problem should look like: x - 9x + 10 + 11 = 12x + 3(-2x + $\frac{1}{3}$ ).
Second, simplify x - 9x + 10 + 11 to -8x + 10 + 11. / Your problem should look like: -8x + 10 + 11 = 12x + 3(-2x + $\frac{1}{3}$ ).
Third, simplify -8x + 10 + 11 to -8x + 21. / Your problem should look like: -8x + 21 = 12x + 3(-2x + $\frac{1}{3}$ ).
Fourth, expand. / Your problem should look like: -8x + 21 = 12x - 6x + 1.
Fifth, simplify 12x - 6x + 1 to 6x + 1./ Your problem should look like: -8x + 21 = 6x + 1.
Sixth, add 8x to both sides. / Your problem should look like: 21 = 6x + 1 + 8x.
Seventh, simplify 6x + 1 + 8x to 14x + 1. / Your problem should look like: 21 = 14x + 1.
Eighth, subtract 1 from both sides. / Your problem should look like: 21 - 1 = 14x.
Ninth, simplify 21 - 1 to 20. / Your problem should look like: 20 = 14x.
Tenth, divide both sides by 14. / Your problem should look like: $\frac{20}{14}$ = x.
Eleventh, simplify $\frac{20}{14}$ to $\frac{ 10}{7}$ . / Your problem should look like: $\frac{10}{7}$ = x.
Twelfth, switch sides. / Your problem should look like: x = $\frac{10}{7}$ which is your answer.

8 0

3 years ago

Simplify and expand (1/3)to 2nd power × 18 + (1/2)to 2nd power × 4

Pepsi [2]

Step 1. Use Division Distributive Property $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

Step 2. Simplify $3^{2}$ to $9$

$\frac{1}{9} *18+( \frac{1}{2} ) ^{2}*4 
$

Step 3. Use Division Distributive Property $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

$\frac{1}{9} *18+ \frac{1}{ 2^{2} } *4$

Step 4. Simplify $2^{2}$ to $4$

$\frac{1}{9} *18+ \frac{1}{4} *4$

Step 5. Simplify $\frac{1}{9} *18$ to $\frac{18}{9}$

$\frac{18}{9} + \frac{1}{4} *4$

Step 6. Simplify $\frac{18}{9}$ to $2$

$2+ \frac{1}{4} *4$

Step 7. Simplify $\frac{1}{4} *4$ to $1$

$2+1$

Step 8. Simplify

$3$

Done! Your answer is 3

6 0

3 years ago

Louisa has a rectangle that measures 12.55 inches by 9 inches. If she takes 5.2 inches off of each side, what will be the area o

Alex_Xolod [135]

Answer:29.4

Step-by-step explanation:

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5 0

3 years ago

If f(x) = 4x + 12x and g(x) = 5x - 1, find (f + g)(x).

egoroff_w [7]

Answer:

= 21x - 1

Step-by-step explanation:

= (4x + 12x) + (5x - 1)

= 4x + 12x + 5x - 1

= 16x + 5x - 1

= 21x - 1

3 0

3 years ago

How do you solve these problems?

Rzqust [24]

A)

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-----------------------------\\\\
log_{{ a}}{{ a}}^x\implies x\qquad \qquad 
\boxed{{{ a}}^{log_{{ a}}x}=x}\impliedby 
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\textit{we'll use this}\\
\textit{cancellation rule}
\end{array}\\\\
-----------------------------\\\\
4^{\cfrac{}{}log_4(x)}=4^3\implies x=4^3$

b)

$\bf 3^{2y}=81\qquad 
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^{2y}=3^4\impliedby 
\begin{array}{llll}
\textit{same base}\\
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6 0

4 years ago