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2 years ago

I️ have travelled around 75% of the edge of a circular path for 10 miles. What is the diameter of the circular path

1 answer:

5 0

The circumference of a circle is equal to pi * diameter

So 10 miles = 0.75 * pi * d

10/(0.75*pi) = d

d = <span>4.244 miles</span>

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What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

$\rm y^2 + x^2 = 53 \\\\y -x = 5$

From equation 1

$\rm y -x=5\\\\y = 5+x$

Substitute the value of y in equation 1

$\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0 \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2$

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

$\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2$

Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

brainly.com/question/1495351

6 0

2 years ago

If f(x)=2x-7, then find f(8)

Artyom0805 [142]

It should be 9. I hope this helps. If it's not 9 then can u please give me a list of your answers to choose from.

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3 years ago

A pair of jeans sells for $49.99. The sales tax rate is 6.5%. What is the total cost for the jeans including sales tax? Please

sergij07 [2.7K]

Answer: Total cost would be $53. 24 including tax which is $3.25

Step-by-step explanation:

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2 years ago

Write a equation for y=|x| if the graph is translated right by 3 units and down by 1 unit

Leni [432]

Answer:

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Step-by-step explanation:

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3 years ago

3x2=7 5x4=23 7x6=47 9x8=79 10x9=?

Mashcka [7]

$(a\times b) = (a\times b) +(b -1) = c \\ \\ 3 \times 2 = (3\times 2) +(2-1) = 6 +1=7 \\ \\ 5 \times 4 = (5\times 4) +(4-1) = 20 +3=23 \\ \\ 7 \times 6 = (7\times 6) +(6-1) = 42 +5=47 \\ \\ 9 \times 8= (9\times 8) +(8-1) = 72 +7=79 \\ \\ \\ \\ 10 \times 9 = (10\times 9) +(9-1) = 90 +8=\boxed {\bf{98}}\\\sf {10\times 9 = \boxed{\bf {98}}}$

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2 years ago