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3 years ago

10

Indicate the equation of the given line in standard form. The line through the midpoint of and perpendicular to the segment join

ing points (1, 0) and (5, -2).

1 answer:

lianna [129]3 years ago

5 0

The midpoint is (3,-1)

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webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

3 0

3 years ago

If a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?

lions [1.4K]

Answer:

B. ab+ac=d

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Apply the distributive property to create an equivalent expression.<br> 5v+110

madam [21]

Answer: 5(v + 22).

Step-by-step explanation: The distributive property is a property of mathematics that says that multiplying the sum of two or more terms by another term will give the same result as multiplying each term individually by the other term and then adding the products together. Thus, we can factor the given equation and get 5(v + 22).

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3 years ago

The total mass of two packets of fruit is 10.5 kg. One packet of fruit is 3 kg lighter than the other. Find the mass of the heav

Ainat [17]

(3+x)+x=10.5

Simplify

2x = 7.5

x = 3.75

Plug in for x

(3 + 3.75) + 3.75 = 10.5

6.75 + 3.75 = 10.5

The heavier packet of fruit is 6.75 kg.

4 0

3 years ago

Mr. Jones has all the students in his class line up. The 9th student in line ends up being exactly at the middle of the line. Ho

kifflom [539]

The 9th student is in the middle.
⇒ There are 8 students before him
⇒ There are 8 students behind him

Total number of students = 8 + 1 + 8 = 17

Answer: 17

6 0

3 years ago