Please help and work please

Mathematics

1 answer:

navik [9.2K]3 years ago

3 0

84-60=24
210-24=186
h=186

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At noon, you are running to get to class and notice a friend 100 feet west of you, also running to class. If you are running sou

Virty [35]

Answer:

Step-by-step explanation:

Velocity of first Person $v_1=450 ft/min$

Velocity of second Person $v_2=350 ft/min$

Distance between them P=100 ft

Let x be the distance moved by 1 st and y be the distance moved by second person by the time 12:02 PM

In Triangle ABC

$BC=350 t+450 t$

$BC=800 t$

using Pythagoras

$AC^2=AB^2+BC^2$

$AC^2=100^2+(800t)^2$

differentiating with respect to time

$2\times AC\times \frac{\mathrm{d} AC}{\mathrm{d} t}=2\times (800t)\times 800$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{800^2\times t}{AC}$

AC after 2 minute

$AC=1603.121 ft$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{800^2\times 2}{1603.121}$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{64\times 10^4\times 2}{1603.121}$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=798.44 ft/min$

4 0

3 years ago

8i-(12-4i)+7√-9<br><br> show work please

Tanya [424]

Answer:

33i - 12

Step-by-step explanation:

$8i - (12 - 4i) + 7 \sqrt{ - 9} \\ = 8i - 12 + 4i + 7 \sqrt{9 \times ( - 1)} \\ = 12i - 12 + 7 \times 3 \sqrt{ - 1} \\ = 12i - 12 + 21i \: \: ( \because \sqrt{ - 1} = i)\\ = 12i + 21i - 12 \\ \therefore \red{ \bold{8i - (12 - 4i) + 7 \sqrt{ - 9} }= \purple{ \bold{33i - 12}}}$