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3 years ago

A circle has its center at (1, 4) and a radius of 2 units. Find the equation of the circle using the Pythagorean Theorem.

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

(x-1)^2+(y-4)=4 is the answer but the pyth theorem is for triangles

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5 divided by 9.75, 0.5 divided by 4.25, 38.5 divided by 0.5.

melamori03 [73]

Answer:

0.5128

0.1176

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of

Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

$5c+7s+12a=2808$

We also know that the children attendance doubles the adult attendance:

$c=2a$

The third equation is the seating capacity, which we assume is full:

$c+s+a=387$

We start by replacing variables in two of the equations:

$c=2a\\\\s=387-c-a=387-2a-a=387-3a$

Then, we solve the remaining equation for a:

$5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99$

Then, we solve for the other two equations:

$c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90$

The attendance was 198 children, 90 students and 99 adults.

8 0

3 years ago

Find all the powers of 4 in the range 4 through 1,000.

alina1380 [7]

4 to the 1st is 4
4 to the 2nd is 16
4 to the 3rd is 64
<span>4 to the 4th is 256

hope that helps</span>

6 0

3 years ago

What is 2x – 3 < 7 and 5 – x ≤ 8?

iren2701 [21]

Answer:

$\begin{bmatrix}x$

Step-by-step explanation:

$2x -3 < 7 \\ 5 - x \leq 8\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:2x-3$

7 0

3 years ago

Read 2 more answers

What is the best description for the lines

jeyben [28]

Answer:

Lines are described as connecting curve joining two points.

Step-by-step explanation:

In coordinate geometry, graph theory, we have points which do not occupy any space.

Any two points can be connected by a curve or a straight line. If two points are joined by a straight line, then we have the slope of the line i.e. the tangent of angle of the line with x axis is constant.

Straight lines would be of the form ax+by+c=0

Hence in equation form, lines would have equations in linear form of both x and y.

Lines have constant slope throughout the region.

Lines can be extended from -infinity to +infinity

Any two distinct points can make a line, but 3 points need not lie on the same line.

7 0

3 years ago