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2 years ago

Clare knows that Priya has a bunch of nickels and dimes in her pocket and 2 points

Mathematics

1 answer:

Maurinko [17]2 years ago

4 0

Answer:

5x + 10y = 125

Step-by-step explanation:

Let :

Number of nickel = x

Number of dime = y

Nickel = 5 cent

Dime = 10 cent

Total value = $1.25

Total value should be converted to cent since both dime and nickel are both in cent

= $1.25 * 100 = 125 cents

Therefore,

5x + 10y = 125 cents

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Step-by-step explanation:

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2 years ago

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If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find

Evgesh-ka [11]

Answer:

The equation of the circle is $(x+3)^2+(y-5)^2 = 17$

Step-by-step explanation:

The complete question is

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be found. First, find the midpoint of the diameter, which is the center of the circle. Then find the radius, which is the distance from the center to either endpoint of the diameter. Finally use the center-radius form to find the equation.

Find the center-radius form of the circle having the points (1,4) and (-7,6) as the endpoints of a diameter.

Consider that, if both points are the endpoints of a diameter, the center of the circle is the point that is exactly in the middle of the two points (that is, the point whose distance to each point is equal). Given points (a,b) and (c,d), by using the distance formula, you can check that the middle point is the average of the coordinates. Hence, the center of the circle is given by

$(\frac{1-7}{2}, \frac{4+6}{2}) = (-3,5)$ .

We will find the radius. Recall that the radius of the circle is the distance from one point of the circle to the center. Recall that the distance between points (a,b) and (c,d) is given by $\sqrt[]{(a-c)^2+(b-d)^2}$ . So, let us use (1,4) to calculate the radius.

$r = \sqrt[]{(1-(-3))^2+(4-5)^2} = \sqrt[]{17}$ .

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$(x-x_0)^2+(y-y_0)^2 = r^2$

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$(x-(-3))^2+(y-5)^2 = (x+3)^2+(y-5)^2 = 17$

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3 years ago

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Art [367]

Answer:

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Step-by-step explanation:

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3 years ago

If R= {(1,2), (3,4), (5,6), (8,9)} find the domain and range of R a. Find value of X and Y.

podryga [215]

<h2>The Domain and Range of a Set of Ordered Pairs</h2><h3>Answer:</h3>

Domain: $x \in \{ 1, 3, 5, 8 \}$

Range: $y \in \{ 2, 4, 6, 9 \}$

<h3>Step-by-step explanation:</h3>

We are given the set of ordered pairs: $R$ . The Domain is just the set containing all the $x$ values of each ordered pair of $R$ . Recall that in the ordered pair $(a,b)$ , $a$ is the $x$ value. In set $R$ , we can see that the $x$ values are $\{ 1, 3, 5, 8 \}$ .

For the Range, it is just the set containing all the $y$ values of each ordered pair of $R$ . Recall that in the ordered pair $(a,b)$ , $b$ is the $y$ value. In set $R$ , we can see that the $y$ values are $\{ 2, 4, 6, 9 \}$ .