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Law Incorporation [45]

2 years ago

14

What is scale factor of the dilation?

2 answers:

Goshia [24]2 years ago

5 0

Hi hi lol hi hi hi hi hi lol hi hi hi

zvonat [6]2 years ago

3 0

1) How much larger or smaller the image will be depends on the scale factor in a mathematical object's dilatation (compared to the original object). When the scaling factor's absolute value exceeds 1, an expansion takes place.

2) No. scale factors can’t be rational numbers. Scaling up always involves a scale factor larger than 1. Let's put this in the formula, which makes it: 15 5 = 3, for instance, if the larger figure's dimension is 15 and the smaller one's is 5. As a result, it is clear that the scale factor is higher than 1.

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

You fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?

larisa [96]

Answer:

38.5cm³

Step-by-step explanation:

1ml = 1cm³

38.5ml = 38.5cm³

7 0

3 years ago

The comma after "however" should be removed

Nadya [2.5K]

Answer:

No it shouldent

Step-by-step explanation:

Because it needs a comma

Example...

Howether, jhon had 5

8 0

3 years ago

Tell whether the equation has one solution, infinite many solutions, or no solutions. -2k + 7 = 4k - 6k + 7

sattari [20]

Answer:

Infinite many solutions

Step-by-step explanation:

All real numbers

4 0

3 years ago

What is the result when 2a-5 is subtracted from 3a+3

sleet_krkn [62]

Answer:

-a - 8

Step-by-step explanation:

2a - 5 - (3a + 3)

2a - 5 - 3a - 3

-a - 8

I hope this helps!

5 0

2 years ago

Read 2 more answers