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3 years ago

An isometry preserves what

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

Answer:

Q: What does an isometry preserve?

A: An isometry is a transformation that preserves distance.

Step-by-step explanation:

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Use the Parabola tool to graph the quadratic function. f(x)=2x^2−12x+19 Graph the parabola by first plotting its vertex and then

Debora [2.8K]

To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form $f(x)=x^2+bx+c$ it vertex $(h,k)$ is given by $h= \frac{-b}{2a}$ , $k=f(h)$ .
We can infet from our parabola that $a=2$ and $b=-12$ . So lets replace those values in our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-12)}{2(2)}$
$h= \frac{12}{4}$
$h=3$
$k=f(h)=2(3)^2-12(3)+19$
$k=2(9)-36+19$
$k=18-17$
$k=1$
The vertex $(h,k)$ of our parabola is $(3,1)$

Now to find our second point, we are going to evaluate our parabola at $x=0$
$f(0)=2(0)^2-12(0)+19$
$f(0)=0+0+19$
$f(0)=19$
Our second point is $(0,19)$

We can conclude that we can graph the parabola $f(x)=2x^2-12x+19$ using its vertex $(3,1)$ and the point $(0,19)$ as follows:

7 0

3 years ago

If 5 potatoes together have a mass of 1 kilogram and 8 pears together have a mass of 1200 grams, which has the greater mass, a p

lord [1]

The Potato has more mass

7 0

3 years ago

Show you work! Giving lots of points for great explained answer!

Alja [10]

Answer:

If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.

Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of flour.

1 3/4 can be rewritten as an improper fraction- 7/4.

3 1/2 can also be rewritten as an improper fraction- 7/2.

Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.

This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs a lot more than that.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Describe using words in a sentence the transformations that must be applied to the graph of f to obtain thegraph of g(x) = -2 f(

grin007 [14]

we have

f(x)

and

g(x)=-2f(x)+5

step 1

First transformation

Reflection about the x-axis

f(x) -----> -f(x)

step 2

Second transformation

A vertical dilation with a scale factor of 2

-f(x) ------> -2f(x)

step 3

Third transformation

A translation of 5 units up

-2f(x) -------> -2f(x)+5

5 0

1 year ago

The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters.

Tcecarenko [31]

Answer:

its A

Step-by-step explanation:

Hope it helps

6 0

3 years ago