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3 years ago

Does the point (273, 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Explain?

Mathematics

1 answer:

valina [46]3 years ago

7 0

Answer:

No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)

Step-by-step explanation:

The circle centered at the origin that contains the point (0,-4) has equation:

${x}^{2} + {y}^{2} = 16$

If the point (273,2) lies on this circle , then it must satisfy this equation:

${273}^{2} + {2}^{2} = 74533$

Since

$16 \ne74533$

The point does not lie on this circle.

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How do I subtract fractions

sesenic [268]

To perform the correct operation as to subtract numbers, make sure the denominators are the same, and then one can then subtract and remove a smaller number from the larger one.

This same method also holds true for adding fractions together as well.

Another way to subtract fractions is to convert them from fraction form to decimal form and then align the decimal points and subtract the values.

3 0

3 years ago

Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt

slava [35]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x-4y$ ----> inequality A

solve for y

$-4y$

$4y>x-4$

$y> (x/4)-1$

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point $(0,-1)$

The x-intercept is the point $(4,0)$

$y< x+1$ ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point $(0,1)$

The x-intercept is the point $(-1,0)$

Using a graphing tool

The solution of the system of inequalities in the attached figure

7 0

3 years ago

A train ticket from San Francisco to Las Vegas is fives times more expensive thana bus ticket. A train tickets costs $130. How m

alexira [117]

train tickets costs: $130 (t)

Bus ticket cost: ? (b)

$\frac{t}{5}=b$ $\frac{130}{5}=b$ $26=b$

the bus ticket cost $26

3 0

1 year ago

Can you help me in my math work

Ket [755]

The LCM of 18 and 24 using the prime-factorization method is 72.

The LCM of 27, 81, and 54, using the division method is 162.

In the first question, we are asked to find the LCM of the given numbers using the prime factorization method.

(i) 18, 24.

Prime factorization gives:

18 = 2*3², and 24 = 2³*3.

The LCM is the product of the highest power of each prime factor.

Thus, LCM = 2³*3² = 8*9 = 72.

Thus, the LCM of 18 and 24 using the prime-factorization method is 72.

Doing similarly for other sub-parts, The LCM of:

(ii) 16, 40 is 80.

(iii) 30, 36 is 180.

(iv) 28, 44 is 308.

(v) 20, 32 is 160.

(vi) 20, 135 is 540.

(vii) 45, 75 is 225.

(viii) 36, 84 is 252.

(ix) 12, 18, 24 is 72.

(x) 25, 35, 45 is 1575.

(xi) 9, 15, 21 is 315.

(xii) 25, 50, 75 is 150.

In the second question, we are asked to find the LCM of the given numbers, using the division method.

(i) 27, 81, 54.

The division method gives:

$\underline{2|27,81,54}\\\underline{3|27,81,27}\\\underline{3|9,27,9}\\\underline {3|3,9,3}\\\underline{3|1,3,1}\\{1|1,1,1}$

The LCM is the product of all the numbers used for division.

LCM = 2*3*3*3*3*1 = 162.

Thus, the LCM of 27, 81, and 54, using the division method is 162.

Doing similarly for other sub-parts, The LCM of:

(ii) 18, 45, 63 is 630.

(iii) 35, 55, 100 is 7700.

(iv) 210, 140, 315 is 1260.

(v) 112, 120, 150 is 8400.

(vi) 144, 180, 300 is 3600.

Learn more about LCM at

brainly.com/question/420337

#SPJ1

7 0

2 years ago

Jeremy madures his baseball bat to be about 34 inches . Luke baseball bat is 3 inches shorter than jeremy .Pat baseball bat is 2

Natalija [7]

Answer:

33 inches

Step-by-step explanation:

5 0

3 years ago