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3 years ago

Solve the distance from point A to point B. Round you answer to the nearest tenth. A(5,4) and B(-4,-3)

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

Answer:

Step-by-step explanation:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-5)^2+(-3-4)^2}=\sqrt{(-9)^2+(-7)^2}=\sqrt{81+49}=\sqrt{130}\\\\d=11.4017...\approx11.4$

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3 years ago

To prove :One plus cot square theta into tan theta by sec square theta = cot theta

pickupchik [31]

we are given

$\frac{(1+cot^2(\theta))*tan(\theta)}{sec^2(\theta)} =cot(\theta)$

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Left side:

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we can use trigonometric identity

$1+cot^2(\theta)=csc^2(\theta)$

we can replace it

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we know that

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so, we can replace it

and we get

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now, we know that

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we can simplify it

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we can also write it as

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we can see that

left side = right side

so,

$\frac{(1+cot^2(\theta))*tan(\theta)}{sec^2(\theta)} =cot(\theta)$ ......Answer

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