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3 years ago

write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)

Mathematics

1 answer:

dmitriy555 [2]3 years ago

4 0

Answer:

Step-by-step explanation:

radius=4 as it is tangent to x-axis.

y co-ordinate of center is 4 so radius=4

eq. of circle is (x-2)²+(y-4)²=4²

or x²-4x+4+y²-8y+16=16

or x²+y²-4x-8y+4=0

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The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?

Bess [88]

Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14. But this does not tell us how many dimes nor how many quarters we have. Instead, it's a ratio. Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes 2n

----------------------------- = -----

Number of quarters 14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes). Notice how the total of 42 and 6 is 48.

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3 years ago

What is the minimum number of points that could be moved to make the parallelogram a<br> rectangle?

scoray [572]

Answer:

Step-by-step explanation:

If we have the length and the breadth of a rectangle then we can draw a unique rectangle because we know already that all the vertex angles are equal to 90 degrees. Hence, only two measurements are required.

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2 years ago

What will it cost to tile a rectangular floor measuring 280 feet by 27 feet if the tile costs $11 per square foot. Round to the

lawyer [7]

Answer:

687

Step-by-step explanation:

First, we want to find the area of the rectangle.

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3 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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2 years ago

Need help on this question

Vedmedyk [2.9K]

Answer:

angle 4

Step-by-step explanation:

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3 years ago

write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)​

write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)