3 years ago

What’s the are of the above figure which has sides of length 6 and 8

Mathematics

1 answer:

svlad2 [7]3 years ago

3 0

I think the area would be 48?

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Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

3 0

2 years ago

pls someone help i'm begging u this is so hard that like so many people failed to answer this.not lying actaully like 3 people t

Maurinko [17]

How don’t you understand that

8 0

2 years ago

How many real solutions does this system of equations have? x2 +3 = y<br> 3х — у+1 = 0

konstantin123 [22]

Answer:

Step-by-step explanation:

y = x²+3

y = 3x+1

x² + 3 = 3x +1

x² - 3x + 2 = 0

(x-2)(x-1) = 0

x = 2, 1

Two solutions

(2,7) and (1,4)

4 0

3 years ago

What is the vost of apple juice per ounce 16 ounces cost $3.20

Reil [10]

Cost/ ounce

16 ounce $1 16 ounce
_________ × _________ = __________ ≈ 19 ¢ per ounce
$ 3.20 100 ¢ 320

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2 years ago

Blake has a garden in his backyard. He picked 66 tomatoes from 6 tomato plants. What is the ratio of tomato plants to tomatoes p

Lerok [7]

66/6=10

10 tomatoes to every 1 plant

10/1

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3 years ago