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3 years ago

Please answer soon ty!

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

Step-by-step explanation:

4.22

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Point A is located at (4, 7). It will be translated 5 units right and 3 units down. Write the rule and give the location of poin

Anarel [89]

Answer:

The rule of translation is $A(x',y') = A(x,y) + (5,-3)$ .

The translated vector is $A(x',y') = (9, 4)$ .

Step-by-step explanation:

Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.

We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:

$A(x',y') = A(x,y) + U(x,y)$ (Eq. 1)

Where:

$A(x,y)$ - Original vector, dimensionless.

$U(x,y)$ - Translation vector, dimensionless.

$A(x',y')$ - Translated vector, dimensionless.

If we know that $U(x, y) = (5, -3)$ , then the rule of translation is described by:

$A(x',y') = A(x,y) + (5,-3)$ (Eq. 2)

If $A(x, y) = (4,7)$ , then the new location of A is:

$A(x',y') = (4,7)+(5,-3)$

$A(x',y') = (9, 4)$

The translated vector is $A(x',y') = (9, 4)$ .

4 0

4 years ago

Which is the value of the expression ((10^4)(5^2)/(10^3)(5^3))^3

dimulka [17.4K]

Answer:

Step-by-step explanation:

Let's set this up to see if we can simplify it a bit:

$(\frac{10^4*5^2}{10^3*5^3})^3$

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:

$(\frac{10}{5})^3$

10 divided by 5 is 2, and 2 cubed is 8

8 0

3 years ago

Cabrina and Dabney are attending a conference. After the conference, Cabrina drives home to Boise at an average speed of 7575 m

kifflom [539]

Answer:

Cabrina's time = 5 hours

Dabney's time = 6.5 hours

Step-by-step explanation:

The data of the exercise are:

Cabrina speed = 75 mph

Daney speed = 60 mph

The sum of their distance is 765 miles, therefore

Cabrina's distance Dabney's distance = 765

Cabrina's distance = x

Dabney's distance = 765-x

The sum of their times is 11.5 hours, therefore

Cabrina's time Dabneys time = 11.5

Cabrina's time = x / 75

Dabney's time = (765-x) / 60

x / 75 (765-x) / 60 = 11.5

Lowest common denominator of 75 and 60 is 300, therefore we have:

330 * x / 75 300 * (765-x) / 60 = 300 * 11.5

4 * x 5 * (- x 765) = 3450

4 * x - 5 * x 3825 = 3450

x = 375

Replacing:

Cabrina's time = 375/75 = 5 hours took

Dabney's time = (765-375) / 60 = 6.5 hours took

7 0

3 years ago

Read 2 more answers

A 5-pound bag of apples costs $3.50. Use this rate to complete the table to identify equivalent ratios, then answer the question

dybincka [34]

Apples cost $0.70 per pound.

5 0

4 years ago

There were 600 soldiers in battle. The ratio of Texas soldiers to Mexican soldiers was 7 to 3, how many more Texan soldiers were

nevsk [136]

257

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8 0

3 years ago