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3 years ago

I don't know this questions so pls help

Mathematics

1 answer:

Ket [755]3 years ago

8 0

Answer:

The distance between the two points is 6.3 units

Step-by-step explanation:

Here, we want to find the distance between the two points

We have the equation to find this as follows;

D = √((x2-x1)^2 + (y2-y1)^2

where (x1,y1) = (-4,2) and (x2,y2) = ((2,4)

so we have the length calculated as follows;

D = √(2-(-4))^2 + (4-2)^2

D = √6^2 + 2^2

D = √36 + 4

D = √40

D = 6.3 units

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3 years ago

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3 years ago

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Strike441 [17]

Answer:

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Step-by-step explanation:

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First, find f(x):

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

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3 years ago