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4 years ago

What are the coordinates of the vertices of the triangle under the translation (x, y) —> (x + 2, y + 3)?

Mathematics

2 answers:

tamaranim1 [39]4 years ago

8 0

For each vertex just take the x and y coordinate and apply the translation. so for the point (-3,-2) make them (-3+2, -2+3)=(-1,1) and do the same for the other two points (0,2) and (-7,3)

kotykmax [81]4 years ago

3 0

Answer:

A. $(-5,6),(2,5),(-1,1)$

Step-by-step explanation:

We have been given an image of a triangle on coordinate plane. We are asked to find the coordinates of vertices of the triangle under the translation (x, y) —> (x + 2, y + 3).

The given translation rule tells us to add 2 to x-coordinates and 3 to y-coordinates of each vertices of the given triangle.

The coordinates of vertices of the triangle are $(-7,3)$ , $(0,2)$ and $(-3,-2)$ .

After adding 2 to x-coordinates and 3 to y-coordinates the new coordinates would be:

$(-7,3)\rightarrow (-7+2,3+3)=(-5,6)$ ,

$(0,2)\rightarrow (0+2,2+3)=(2,5)$

$(-3,-2)\rightarrow (-3+2,-2+3)=(-1,1)$

Therefore option A is the correct choice.

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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

Y=-x-3

nadya68 [22]

Answer: Heyaa! :)

1. y=-x-3 = -1

Slope: −1

y-intercept: (0,−3)

2. y=4x-5 = 4

Slope: 4

y-intercept: (0,−5)

3. 2x-y=-2 = 2

Slope: 2

y-intercept: (0,2)

4. x+y=4 = 1

Slope: −1

y-intercept: (0,4)

5. 3x+4y=-12 = - 3/4

Slope: −3/4

y-intercept:

(0,−3)

Hopefully this helps you!

- Matthew

4 0

2 years ago

Daredevil Danny was cliff jumping . He jumped off a cliff that was 14.2 meters above the surface . He jumped 2.3 meters below wa

Novay_Z [31]

Answer:

that he is trying to die

Step-by-step explanation:

i don't know just stating the obvious.

6 0

3 years ago

Read 2 more answers

The value of the square root of -4 is not -2 because?

Anarel [89]

A) (-2)² ≠ -4 is your answer

Explanation:

(-2)² = (-2)(-2)

(-2) x (-2) = 4

∴ A) (-2)² ≠ -4

hope this helps

7 0

3 years ago

Rodney bought a 50 pound bag of dog food. HIS dog ate 2/5 of the food in the first mon th and 2/10 of the food in the second mon

NeTakaya

Answer:

20 lbs

Step-by-step explanation:

2/5ths of the food would be 20 pounds because:

2/5 * 50 = 20

2/10ths of the food would be 10 pounds because:

2/10 * 50 = 10

If we add those two together, we would get the total amount that the dog ate, which would be 30 pounds. SInce the dog ate 30 pounds of food out of the 50 pounds, there would be 20 pounds left in the bag at the end of two months:

50- ( 20+ 10) = 20

4 0

4 years ago