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3 years ago

BRAINLIEST AND 30 POINTS!!! HURRY!!

Mathematics

2 answers:

Gekata [30.6K]3 years ago

8 0

Answer:

C. 72

Step-by-step explanation:

the answer is C because if you divide 84 by 7 you get 12 so you then multiply 6 by 12 and get 72. the answer could not be negative 72 because that would then make the equation positive.

PIT_PIT [208]3 years ago

4 0

Answer:

C) 72

Step-by-step explanation:

-6/7 = -x/84

6/7 = x/84

x = 84 × 6/7

x = 72

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torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

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$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

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Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

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