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2 years ago

What number must i add to complete the square x^2+8x=-3

Mathematics

1 answer:

Sonja [21]2 years ago

7 0

Answer:

Step-by-step explanation:

(b/2)^2

(8/2)^2 = (4)^2 = 16

(x^2+8x+16) = -3+16

(x+4)^2 = 13

so on so forth, but basically you add 16 which completes the square

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A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

3 years ago

How should I tell my crush I like her? She's my friend and I asked her if she liked me yesterday and she said no but I think she

Helen [10]

Answer:

U just have to make her feel comfortable to trust u that she can tell u that she actually likes u....dont push anything just make her feel appreciated ok?

Step-by-step explanation:

that's all

4 0

3 years ago

Work out the size of angle x.<br> 38°<br> х<br> 101

KIM [24]

Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

5 0

2 years ago

Determine the missing length using the Pythagorean theorem. Round the answer to the nearest tenth.

Daniel [21]

The answer is the first one which is 6 feet

5 0

3 years ago

Hi again for the millionth time, please help on this, Select each correct answer.

marysya [2.9K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers