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user100 [1]
3 years ago
8

What is the midpoint of a segment whose endpoints are (3, 7) and (7, 3)?

Mathematics
2 answers:
WARRIOR [948]3 years ago
7 0
Midpoint of a segment whose endpoints are (x₁,y₁) and (x₂,y₂)
M((x₁+x₂)/2  ,  (y₁+y₂)/2)
1)
(3,7)
(7,3)

M( (3+7) /2  ,  (7+3)/2 )
M(10/2 , 10/2)
M(5,5)

B(5,5).

2)
Distance between the points (x₁,y₁) and (x₂,y₂)

Distance=√[(x₂-x₁)²+(y₂-y₁)₂]
(6,32)
(-8,-16)
distance=√[(-8-6)²+(-16-32)²]
d=√[(-14)²+(-48)²]
d=√(196+2304)
d=√2500
d=50

D. 50

(2,3)
(7,4)
d=√[(7-2)²+(4-3)²]
d=√(5²+1²)
d=√(25+1)
d=√26≈5.1

d≈5.1
Ivan3 years ago
3 0

Answer:

The answer to the third question is 10..

Step-by-step explanation:

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48÷6=8
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Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv
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Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

   = (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = \dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}

Let dD/dT = 0 to find the critical value we will get

\dfrac{70000000\left(291T^2-24298T+91800\right)}  = 0

Using formula of quadratic, we get the roots:

T =  79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8)    a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

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3 years ago
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Answer:

( a ) Trinomial, the degree of the polynomial = 3

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( c ) Binomial, the degree of the polynomial = 2

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