All categories

3 years ago

What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)

Mathematics

1 answer:

Gala2k [10]3 years ago

6 0

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

A(-1, 4) is the original point

A'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

You might be interested in

Adrian has a points card for a movie theater.

ANEK [815]

Answer: v ≥ 6

This means that Adrian needs to do at least 6 visits.

Step-by-step explanation:

First, we know that he gets 20 points just for signing up, so he starts with 20 points.

Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:

20 + 2.5*v

points.

And he needs to get at least 35 points, then the total number of points must be such that:

points ≥ 35

and we know that:

points = 20 + 2.5*v

then we have the inequality:

20 + 2.5*v ≥ 35

Now we can solve this for v, so we need to isolate v in one side of the equation:

2.5*v ≥ 35 - 20 = 15

2.5*v ≥ 15

v ≥ 15/2.5 = 6

v ≥ 6

So he needs to make at least 6 visits.

6 0

3 years ago

Use Place Value to Name Whole Numbers in the following exercises (4th,5th 6th questions below), name

Temka [501]

Naming each number in word with the use of place value to name whole numbers: we have;

4. Five hundred and twenty-five thousand, Six hundred minutes.

4. Five hundred and twenty-five thousand, Six hundred minutes.5. Two-million, six-hundresd and seventeen thousand, one-hundred and seventy six.

4. Five hundred and twenty-five thousand, Six hundred minutes.5. Two-million, six-hundresd and seventeen thousand, one-hundred and seventy six.6. Eighteen thousand, five-hundred and fourty-nine thousand dollars.

Using place value to name whole numbers involves orderly naming the numbers from right to left from unit, tens, hundreds, thousands, ten thousands and so on.

Ultimately, the naming of the numbers is as done above.

brainly.com/question/18829057

8 0

3 years ago

2÷8-x=24 how do I find answer

Law Incorporation [45]

Hello !

You have to do as follow :

$2\div8-x=24\\0.25-x=24\\-x=24-0.25\\-x=23.75\\x=-23.75$

4 0

3 years ago

Read 2 more answers

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

4 years ago

Evaluate the expression.

Katarina [22]

Answer:

Step-by-step explanation:

The lines on the outside simply means "absolute value". This just takes any negative number and makes it positive. In this case, 15-4 is already positive so the answer is just positive 11.

4 0

3 years ago