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3 years ago

Hong purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Hong paid.

Mathematics

1 answer:

klio [65]3 years ago

4 0

Answer:

5n=c

Step-by-step explanation:

the equation 5n=c can represent the total cost Hong would have paid for the notebooks because given that each notebook costs $5, you would multiply 5 by the number of notebooks (n) that Hong would be purchasing, which would bring you to the cost (c) of the notebooks all together

sorry for the delay. hope this helps

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Find an equation of the set of all points equidistant from the points A(−3, 6, 3) and B(4, 1, −1). Describe the set.

valentinak56 [21]

Answer:

See below

Step-by-step explanation:

I will describe this set in R³. Let P=(x,y,z) be a point equidistant to A and B, that is, the distance from P to A is equal to the distance from P to B.

First, using the usual distance formula, the distance from P to A is equal to $d(P,A)=\sqrt{(x-(-3))^2+(y-6)^2+(z-3)^2}=\sqrt{(x+3)^2+(y-6)^2+(z-3)^2}$

On the other hand, the distance form P to B is equal to $d(P,B)=\sqrt{(x-4)^2+(y-1)^2+(z-(-1))^2}=\sqrt{(x-4)^2+(y-1)^2+(z+1)^2}$

P is equidistant from A and B if and only if P satisfies the equation d(P,A)=d(P,B), that is,

$\sqrt{(x+3)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-4)^2+(y-1)^2+(z+-1)^2}$

Take the square in both sides of this equation to get

$(x+3)^2+(y-6)^2+(z-3)^2=(x-4)^2+(y-1)^2+(z+1)^2$

$(x+3)^2-(x-4)^2+(y-6)^2-(y-1)^2+(z-3)^2-(z+1)^2=0$

You can simplify using difference of squares and multiplying like this:

$(7)(2x-1)+(-5)(2y-7)+(-4)(2z-2)=0$

$14x-10y-8z+36=0$

which is the equation of a plane.

4 0

4 years ago

Christopher measured in line to be 7.2 inches long if the actual length of the line is 7.1 inches then what is the percent error

e-lub [12.9K]

Answer:

The percent error in his measurement was 1.41%

Step-by-step explanation:

In order to compute the percentage error we first need to know the absolute error of his measurement. This error is given by what Christopher measured sutracted by the actual length, wich is:

absolute error = 7.2 - 7.1 = 0.1 inches

To know this value in percentage we need to know how many percentage 0.1 inches is from 7.1 inches. So we can use a rule of three such as 7.1 inches relates to 100% as 0.1 inches relates to x%. We have:

7.1 inches -> 100%

0.1 inches -> x

x = (100*0.1)/7.1 = 1.41 %

The percent error in his measurement was 1.41%

4 0

4 years ago

Read 2 more answers

What is the slope of the line represented by the equation y = 4/5 x -3? A-1 B-4/5 C4/5 D3

Cerrena [4.2K]

Option C

<u>ANSWER: </u>

For the given equation slope is $\frac{4}{5}$ so the correct option is c.