2 years ago

Find the perimeter of the

Mathematics

1 answer:

spayn [35]2 years ago

8 0

D is the right answer

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The difference of x and 5 is less than 21. Translate the sentence into an inequality.

Ad libitum [116K]

Answer:

x-5<21

Step-by-step explanation:

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2 years ago

the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i

Marrrta [24]

Answer: $(x+10)^2+(y+6)^2=121$

Step-by-step explanation:

The equation of a circle in the general form is:

$ax^{2}+by^2+cx+dy+e=0$

The equaton of a circle in standard form is:

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

Where the center is at (h, k) and r is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

$x^{2}+y^2+20x+12y+15=0$

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

$(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121$

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3 years ago

What is the length of the arc on a circle with radius 20 in. intercepted by a 15° angle?

AnnyKZ [126]

Length of arc = (15/360) * 2*3.14*20 = 5.23 ins

circumference of the circle = 2*3.14*24 = 150.72

angle at center from 10 ft arc = (10/150.72) * 360 = 23.89 degrees

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2 years ago

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What are the x-intercept and the y-intercept of this function? f(x) = 4x + 12

KonstantinChe [14]

Answer:

x=3 y=0

Step-by-step explanation:

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2 years ago

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After the expression x^10 ^3/5 is simplified as much as possible, x is raised to what exponent?