3 years ago

What is the area of rectangle ABCD

Mathematics

1 answer:

Leviafan [203]3 years ago

6 0

Answer:

1,840 units squared

Step-by-step explanation:

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Odysseus found that his troubles varied directly as his distance from his home island of Ithaca. If he had 20 troubles when he w

Vitek1552 [10]

Lol

trouble varies directly as distance
lets say t=trouble and d=distance
t=kd
k is constant

given
when t=20, and d=400
find k
20=400k
divide by 400 both sides
1/20=k

t=(1/20)d

given, d=60
find t

t=(1/20)60
t=60/20
t=3

3 troubles

5 0

3 years ago

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$