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inna [77]
2 years ago
5

The diameter of Circle terminates on the circumference of the circle at​ (3,0) and (3,−7).. Write the equation of the circle in

standard form. Show all of your work for full credit.
Mathematics
1 answer:
Verdich [7]2 years ago
7 0

Step-by-step explanation:

that means the center of the circle is exactly in the middle between the 2 points.

and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5

so, the coordinates of the center are (3, -3.5).

and that makes the standard circle equation

(x - h)² + (y - k)² = r²

to

(x - 3)² + (y + 3.5)² = 3.5² = 12.25

as h, k are the coordinates of the center, and r is the radius (half the diameter).

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The product of two positive consecutive odd integers is 2703. What are the positive numbers?
liberstina [14]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

x^2+2x-2703=0

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

7 0
2 years ago
Find the slope of the line that would be parallel to the given original line 3x+y=10
Arturiano [62]
The answer is 3. If the lines are parallel then they would have the same slope. :)
7 0
3 years ago
Write an expression for the calculation subtract 10 divided into fifths from 20 diveded in half
vredina [299]
20/2-10/5. You divide 20 by 2 and subtract that from 10 divided by 5
5 0
3 years ago
Give an example with an expression showing the associative property of multiplication
gizmo_the_mogwai [7]

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

7 0
2 years ago
Solve the inequality <br> 3x/2- 2 &gt; 7
In-s [12.5K]

Answer:

<h3>NO SOLUTIONS</h3>

Step-by-step explanation:

To solve this problem, first, you have to isolate x on one side of the equation.

3x/2-2>7

3x/2-2-7>7-7 (First, subtract 7 from both sides.)

7-7 (Solve.)

7-7=0

3x/2-2-7>0

3x/2-2*0-7*0>0*0 (Then, multiply 0 from both sides.)

0*0 (Solve & simplify.)

0*0=0 (undefined & no solutions)

In conclusion, there are no solutions.

4 0
3 years ago
Read 2 more answers
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