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2 years ago

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What is the area of the combined rectangle

1 answer:

Art [367]2 years ago

3 0

Answer:Find The area of each rectangle is base × height.

Step-by-step explanation: Find the area of each rectangle by multiplying its base by its height. Add the areas of the rectangles together to get the total area. We split this composite shape into 2 rectangles.

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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

25 POINTS SOMEONE HELP ME OUT WITH THIS PLEASEEEE BRAINLIEST ANSWER

zloy xaker [14]

1. $y=7x-1$

2. $y=3x+b$
<u> </u><u>Sub (1, -5) into equation to find '</u><em><u>b'</u></em><u />
$-5=3(1)+b$
$-8=b$

$y=3x-8$

3. $x=-7$

4. $y=4$

3 0

3 years ago

What is the value of 9p5?

ICE Princess25 [194]

9.5 is correct (:(:(:

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3 years ago

What Is 7 Rounded To The Nearest Tenth?

AnnyKZ [126]

I think that it is 7.0

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3 years ago

What number represents the same amount as 2 hundreds ++plus 14 tens ++plus 3 ones?

Dennis_Churaev [7]

343 is the answer because 14 tens is 1 hundred and 4 tens

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3 years ago