All categories

2 years ago

Which is a rule that describes the translation of a point from 4, -8 to 7, -10

Mathematics

2 answers:

Alexxandr [17]2 years ago

4 0

Answer:

$\large\boxed{(x,\ y)\to (x+3,\ y-2)}$

Step-by-step explanation:

$(4,\ -8)\to(7,\ -10)\\\\4\to7\Rightarrow4+3=7\\\\-8\to-10\Rightarrow-8-2=-10\\\\\text{Conclusion}\\\\(x,\ y)\to (x+3,\ y-2)$

Advocard [28]2 years ago

3 0

Answer:

first choice: (x, y) ------> (x + 3, y - 2)

Step-by-step explanation:

The x-coordinate started as 4. Then it became 7. To change from 4 to 7, you add 3. The rule for x is to add 3.

The y-coordinate started as -8. Then it became -10. To go from -8 to -10, you subtract 2. The rule for y is to subtract 2.

Look at the choices, and pick the one that adds 3 to x and subtract 2 from y.

The answer is the first choice: (x, y) ------> (x + 3, y - 2)

You might be interested in

Jackson is building a bookshelf and has a piece of wood that is 5/8 long. He needs to cut pieces that are 1/16 foot long. How ma

Genrish500 [490]

Answer:

<h2>6 is the Answer.</h2>

Step-by-step explanation:

A fraction consists of two parts the top number and the bottom one.

Think of the top number as the count and the bottom as the size indicator. So you have:

countsize indicator −−−−−−−−−−→proper names numeratordenominator

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider the action example of dividing 3 into 6.

We can do this division directly because their size indicators are the same. That is, we have: 61÷31. People do not normally write it this way but it is correct.

To directly divide the counts the size indicator must be the same

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So we need to see how many of 18 will fit into 34

We can not do this directly in one operation as the size indicators are not the same.

Lets make the size indicators (denominators) the same

Multiply by 1 and you do not change the value but

1 comes in many forms.

[34×1]÷18 → [34×22]÷18

[3×24×2]÷18 → 68÷18

Now that the size indicators (denominators) are the same we can just divide the counts (numerators)

countsize indicator→[68÷18]=6÷1=6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I could explain more showing the connection between this and the shortcut method but what I have shown you will do for now.

6 0

2 years ago

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

Ray Of Light [21]

Answer:

Infinite sequence with terms $t_{n+1}=t_n\cdot ab$ or $t_{n+1}=2a\cdot (ab)^n=2a^{n+1}b^n.$

$t_7=2a^7b^6.$

Step-by-step explanation:

Consider the pattern

$2a,\ 2a^2b,\ 2a^3b^2,\ 2a^4b^3,\ ...$

First term of this pattern is

$t_1=2a,$

second -

$t_2=t_1\cdot ab,$

third -

$t_3=t_2\cdot ab,$

fourth -

$t_4=t_3\cdot ab,$

fifth -

$t_5=t_4\cdot ab=2a^4b^3\cdot ab=2a^5b^4,$

sixth -

$t_6=t_5\cdot ab=2a^5b^4\cdot ab=2a^6b^5,$

seventh -

$t_7=t_6\cdot ab=2a^6b^5\cdot ab=2a^7b^6.$

This equence is infinite and each next term is obtained from the previous multiplying by ab.

7 0

3 years ago

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy

Musya8 [376]

Sarah,

Let x = cost of notebook

let y = cost of thumbdrive

For Troy 5x + 5y = 75

For Lisa 2x + 6y = 78

Troy's equation let's divide it by 5 and get

x+ y = 15 multiply by -2

-2x -2y = -30

2x + 6y = 78 Add equations

4y = 48

Solve for y. Then plug it in one of the original equations and solve for x. Check by plugging into the other original equations

Step-by-step explanation:

5 0

2 years ago

Corinne bought 5 bags of chips and 4 jars of dipping sauce for $21.82. At the same prices, Ginger bought 4 bags of chips and 3 j

AURORKA [14]

Step-by-step explanation:

5 bags of chips and 4 jars of dipping sauce cost $21.82. Also, 4 bags of chips and 3 jars of dipping sauce cost $16.86.

This problem can be modeled using linear equations in two variables.

Let $c$ be the cost of a bag of chip and $s$ be the cost of a jar of dipping sauce.

The information yields the equations

$5c+4s=21.82,4c+3s=16.86\\\textrm{Multiply first equation by 4 and second equation by 5}\\20c+16s=87.28,20c+15s=84.3\\\textrm{Subtracting second equation from the first one}\\s=\$2.98$

∴ A jar of dipping sauce costs $\$2.98$ .

3 0

3 years ago

Select at least two operation that are closed in E

boyakko [2]

E and ummmmmmmmmmm E

8 0

2 years ago