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3 years ago

To find the distance between (17,3) and (17,−5), Marcia used the following equation. Is Marcia correct? Explain. D=|3−(−5)|=8

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

Answer:

Step-by-step explanation:

The formula for finding the distance between two points is expressed as shown

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;

D = √(17-17)²+(-5-3)²

D = √0²+(-8)²

D = √64

D = 8

According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.

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The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

2 years ago

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The annual membership fee at a local club is $100. After each year of membership, the fee is lowered by $8 a year. The

Mila [183]

Answer:

y = 100 - 8(n - 1)

Step-by-step explanation:

I. if n = 1 or 1st year = 100 - 8(1-1) is 100

if n = 2 or 2nd year = 100 - 8(2-1) is 92

if n = 3 or 3rd year = 100 -8(3-1) is 84

Hope it'll help.

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3 years ago

What is the slope of the line that passes through the points (2, 3) and (8, 6)

nadezda [96]

Answer:

The slope of the line that passes through the points (2, 3) and (8, 6) is $\frac{1}{2}$ .

Step-by-step explanation:

To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is $\frac{3}{6}$ or $\frac{1}{2}$ .

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A 9-yard roll of string costs $1.53. What is the unit price?

leonid [27]

$0.17 for every yard of string

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2 years ago

How do you simplify -5×16×4

Alika [10]

Well I would say multiply 16*4 to get 64 so unless you want to answer it, the answer is (-5*64) is your simplified equation. ()- is just to separate from the words

* - is multiply symbol. This is much more useful when using variables so your X variable don't get mixed up.

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3 years ago

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