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3 years ago

The midpoint of a segment is (2,-5), and one of the endpoints is (3,6). where is the other endpoint?

1 answer:

4 0

(2, -5) is the mid point

(3, 6) is (2+1, -5+11) is an end point

therefor the other end point should be (2-1, -5-11) = (1, -16)

You could visualise this better if you draw it

Hope this helps, I don't really know a better way to explain it, sorry =P

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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

Ira Lisetskai [31]

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

3 0

3 years ago

A family spends 1⁄10 of its annual income for housing, 1⁄4 for food and clothing, 1⁄5 for general expenses, and 2⁄15 for enterta

tankabanditka [31]

In order to make the whole problem easier, you would have to get all the numbers to have the same denominator which would be 60.

1/10 * 6 = 6/60
1/4 * 15 = 15/60
1/5 * 12 = 12/60
2/15 * 4 = 8/60

Now that all the numbers have the same denominator, you would add them to get 41/60.
In conclusion, the answer would be D.

5 0

3 years ago

Translate the following word phrases to an algebraic expression and simplify: “8 times the difference of 6 times a number and 3”

Ostrovityanka [42]

SOLUTION:

Step 1:

In this question, we are meant to:

Translate the following word phrases to an algebraic expression and simplify:

“8 times the difference of 6 times a number and 3”

Step 2:

Assuming the unknown number be y, we have that:

$\begin{gathered} 8\text{ ( 6y - 3 )} \\ =\text{ 48 y - 24} \end{gathered}$

CONCLUSION:

The final answer is:

$48y\text{ - 24}$

3 0

1 year ago

0.05 is 10 times what number

Alinara [238K]

Answer

0.5

Step-by-step explanation:

5 0

2 years ago

The least common multiple of 2 numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?

Jlenok [28]

blah blah blah blah
17.14

3 0

3 years ago