$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}
\end{array}\\\\
-------------------------------\\\\
x^2+y^2=25\implies (x-0)^2+(y-0)^2=5^2$

so notice above, the circle is centered at h,k or 0,0, the origin, and has a ratio of 5.

and y = 2, is just a horizontal line, check the picture below.

7 0

3 years ago

Solve the absolute value inequality. |2x - 3| > 7

s344n2d4d5 [400]

Hi!

NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.

|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

2x > 10

x > 5

Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

2x - 3 < -7

2x < -4

x < -2

Now, as stated above, since it's a greater than symbol it means OR.

x > 5 OR x < -2

For more information on solving absolute value inequalities:

brainly.com/question/14473339

6 0

2 years ago

Find the diameter of the circle with a circumference of 27 centimeters. Use 3.14 for π. Round to the nearest tenth.

Luden [163]

Answer:

Step-by-step explanation:

Circumference= πd = 27 cm

d = 27/π = 8.6 cm

3 0

2 years ago

Pls Help I’m stuckThere are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice t

Rasek [7]

Answer:

Step-by-step explanation:

5 more than 2 times the girls

89=5+2x

x=42

4 0

2 years ago

The more you take the more you leve behind​

The more you take the more you leve behind