Answer:
b = 24/5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
12 = 5/2b
<u>Step 2: Solve for </u><em><u>b</u></em>
- Rewrite: 5/2b = 12
- Divide both sides by 5/2: b = 24/5
<u>Step 3: Check</u>
<em>Plug in b to verify it's a solution.</em>
- Substitute: 12 = 5/2(24/5)
- Multiply: 12 = 12
(8.4, 8.4) or 
Explanation:
Given points are A(2, 6) and B(18, 12).
Let P(x, y) partitions the line segment in the ratio 2 : 3.
That is AP : PB = 2 : 3.
A(2, 6) can be taken as 
B(18, 12) can be taken as 
AP : PB can be taken as m : n = 2 : 3.
The coordinate of point P(x, y) divides line segment joining
and
in ratio m : n is

Here,
and m = 2, n = 3.
Substitute these in the above formula, we get



= (8.4, 8.4)
Hence, the point partitions the line segment is (8.4, 8.4) or
.
Answer:
$72 would be the retail price
Step-by-step explanation:
Answer:
point-slope
slope-intercept
and standard
Step-by-step explanation:
<h2>Steps:</h2>
So firstly, we need to factor out the GCF. Since all the terms share a GCF of x, factor that out as such:

Next, I will be factoring by grouping. For this, factor x²y² + y³ and -x⁴ - yx². Make sure that they have the same quantity on the inside:

Now rewrite the expression as:

However, we can factor this expression further. Next, we will be applying the difference of squares rule, which is
. In this case:

<h2>Answer:</h2>
In short, the factored form of this expression is:
