Answer:
|x-3|+4 = 12
|x-3| = 12-4
|x-3| = 8
now solve for both positive and negative values
x - 3 = 8 | x - 3 = -8
x = 8 + 3 | x = - 8 + 3
x = 11 | x = -5
solution set : { 11, -5 }
Step-by-step explanation:
What is the 9th term of the geometric sequence 4, -20, 100, ...
<span>First term, a = 4 </span>
<span>common ratio, r = –20 / 4 = –5 </span>
<span>..... ..... ..... ..... = 100 / –20 = –5 </span>
<span>9th term = 4 ( –5 ) ^ ( 9 - 1 ) </span>
<span>..... ...... = 4 ( –5 ) ^ 8 </span>
<span>..... ...... = 4 ( 390,625 ) </span>
<span>..... ...... = 1,562,500 </span>
Combine like terms in each member of an equation.
Using the addition or subtraction property, write the equation with all terms containing the unknown in one member and all terms not containing the unknown in the other.
Combine like terms in each member.
Use the multiplication property to remove fractions.
Answer:
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.
Answer:
<h3>The answer is option B</h3>
Step-by-step explanation:
Equation of a circle is given by
( x - h)² + ( y - k)² = r²
where r is the radius and
( h , k) is the center of the circle
From the question the radius R = 1/3
the center ( h ,k ) = (4/3 , -8/3)
Substituting the values into the above equation
We have

We have the final answer as

Hope this helps you