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2 years ago

What is the consequence of L'hopital's Rule?

Mathematics

1 answer:

arlik [135]2 years ago

8 0

Answer:

So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. (Brainliest? :3)

Step-by-step explanation:

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

$x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8$

The area of a triangle is= $\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]$

= $|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|$

= $|-54|$ = 54 square units

The length of AC = $\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}$

= $\sqrt{(2-12)^{2} +(1-8)^2}$

= $\sqrt{149}$ units

Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

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2 years ago

Find the new amount of the original amount is 45 grams and the percent of decrease is 36%.

Semenov [28]

Answer:

28.8

Step-by-step explanation:

the original is 45=100%

it reduced by 36% meaning;100%-36%=64%

if45=100%

? =64%

45*64=2880/100=28.8

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2 years ago

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2 years ago

31,680 ft = mi<br> A. 6 <br> B. 18 <br> C. 60 <br> D. 2,640

Vlad1618 [11]

5280 feet = 1 mile
31,680 feet = x miles

31,680/5,280 = 6

31,680 feet = 6 miles.

Your answer is A. 6.

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2 years ago

She uses a scale of 1 centimeter to 6 inches<br> the scale drawing of the front face is

Anastasy [175]

Answer:

change inches into centimeter and then divide it

hope this help

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2 years ago

What is the consequence of L'hopital's Rule?​

What is the consequence of L'hopital's Rule?