MATHEMATICS HIGH SCHOOL

Write an algebraic rule to describe the translation C(5, –4) C’(–2, 1)

Answers

Answer 1

Answer:

Answer:

The required algebraic rule of translation is $(x,y)\rightarrow (x-7,y+5)$ .

Step-by-step explanation:

The coordinates of a point are C(5, –4) and the coordinates of image are C’(–2, 1).

$C(5,-4)\rightarrow C'(-2,1)$ .... (1)

Let the algebraic rule of translation is

$(x,y)\rightarrow (x+a,y+b)$ .... (2)

From (1) and (2) we get

$x=5,y=-4$

$x+a=-2$

$5+a=-2$

$a=-2-5$

$a=-7$

The value of a is -7.

$y+b=1$

$-4+b=1$

$b=1+4$

$b=5$

The value of b is 5.

The algebraic rule of translation is

$(x,y)\rightarrow (x-7,y+5)$

Therefore the required algebraic rule of translation is $(x,y)\rightarrow (x-7,y+5)$ .

Answer 2

Answer: We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)

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Solve the inequalities:
3(m-5) - 6 > -36
What do I do?

Answers

3(m - 5) - 6 > -36

First, add 6 to both sides. / Your problem should look like: $3(m - 5) \ \textgreater \ -36 + 6$
Second, simplify -36 + 6 to get -30. / Your problem should look like: $3(m - 5) \ \textgreater \ -30$
Third, divide both sides by 3. / Your problem should look like: $m - 5 \ \textgreater \ -(30)/(3)$
Fourth, since 10 × 3 is 30, simplify the fraction by 10. / Your problem should look like: $m - 5 \ \textgreater \ -10$
Fifth, add 5 to both sides. / Your problem should look like: $m \ \textgreater \ -10 + 5$
Sixth, simplify -10 + 5 to get -5. / Your problem should look like: $m \ \textgreater \ -5$

Answer: m > -5

3(m−5)−6>−36

3m−21>−36

Step 2: Add 21 to both sides.

3m−21+21>−36+21

3m>−15

Divide both sides by 3.

3m/3>−15/3

m>−5

How to find hyptenuse of a triangle?

Answers

IF the triangle has a 90-degree angle in it (it's a right triangle), then the length
of the hypotenuse is:

Square root of (square of the shortest side + square of the medium side).

If the triangle is not a right triangle, then it doesn't have a hypotenuse.

Julia is saving money for the down payment on a car. She plans to save for one year. Her parents have offered to contribute $50 a month to her savings. How much does Julia need to save each month in addition to her parents' contribution if she wants to have a $2700 down payment on a car at the end of the year? Define a variable and write an equation to represent this situation.

Answers

Answer:

$12x+600=2700$

$175

Step-by-step explanation:

Let x represent money saved by her in one month.

So money saved by her in one year (12 months) would be $12x$ .

We can represent our given information as:

$12x+600=2700\n12x=2700-600\n12x=2100\nx=(2100)/(12)\nx=175$

Therefore, she needs to save $175 per month.

9-x/5=3 what does x equal

Answers

   9 - x/5 = 3
Add x/5
to each side:    9      = 3 + x/5

Subtract 3
from each side: 6      =   x/5

Multiply each side by 5 :    30      =   x

60% of what number is 72?