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2 years ago

What is 12.8 rounded to the nearest hundred

Mathematics

1 answer:

irina [24]2 years ago

7 0

Answer:

13 will the answer of this qn

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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

Kara has four boy cousins and three girl cousins. Write a fraction to represent the part of her cousins that are girls.

earnstyle [38]

Answer:

it would be 3/7

Step-by-step explanation:

3+4=7 3 cousins out of the seven are girls

6 0

3 years ago

The exponent equivalent of 20 x 20 x 20 is

geniusboy [140]

Answer:

20 to the 5th power

Step-by-step explanation:

7 0

2 years ago

Plot and label all the points that are 4 units from point P AND that share the same x coordinate as point P. Write the coordinat

Lilit [14]

The answers should be: (-2,5), (-2,-2), (-6,-1), (2,1)

Hope this helped :)

7 0

2 years ago

1. f(x) = x2 - 21<br> f(5)

matrenka [14]

Answer:

x=13

Step-by-step explanation:

if you will substitute the value of f(x) with 5, you will get the following equation:

5=2x-21

2x=26/÷2

x=13

(I didn't know what you ment when you wrote x2, is it x square or 2X)

I really hope it was the second one, cause that's how I solved it.

8 0

2 years ago