I need help with this, I am confused so please explain to me.

Mathematics

1 answer:

AnnyKZ [126]2 years ago

7 0

Absolute values are more simple than you may think. Absolute values are just the distance that number is from zero. This means that your answer will always be positive.

So for - | - 7 3/5 |, your answer is - 7 3/5 because | - 7 3/5 | is just 7 3/5. But there is a negative on the outside which basically tells you to multiply whatever your answer is by - 1.

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m

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Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, $A= \frac{1}{2}bh$

When $A=190 cm^2, h=10cm$

$190= \frac{1}{2}*b*10\\b=38cm$

$\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,$

$2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min$