As with any "solve for ..." problem, you start by looking at the operations performed on the variable of interest. Here, when you evaluate this expression according to the order of operations, you
- add b1
- multiply by (h/2)
When you want to solve for b2, you undo these operations in reverse order. To undo multiplication by a fraction, you multiply by the inverse (reciprocal) of the fraction. To undo addition, you add the opposite.
Whatever you do must be done to both sides of the equation.
Here we go ...
... (2/h)A = b1 + b2 . . . . . we undid the multiply by h/2, by multiplying by 2/h
... (2/h)A - b1 = b2 . . . . . we undid the addition of b1 by adding the opposite of b1
Then your solution is
... b2 = 2A/h - b1
If you want to, you can combine these terms over a single denominator to get
... b2 = (2A -h·b1)/h
Answer:
x is all real numbers
Step-by-step explanation:
6 + 5|2x -3| ≥ 4
The first step is to subtract 6 from each side
6 -6+ 5|2x -3| ≥ 4-6
5|2x -3| ≥ -2
Now divide each side by 5
5/5|2x -3| ≥ -2/5
|2x -3| ≥ -2/5
Absolute values are always positive. Our absolute value is greater than a negative number. It is always true. X can be any number and our absolute value will still be greater than -2/5.
x is all real numbers
Area of the sector is 981.3 cm²
Step-by-step explanation:
- Step 1: Find the area of the sector where radius = 50 cm and central angle = 45°
Area of the sector = πr² (C/360), where r is radius and C is the central angle
⇒ Area = 3.14 × 50² × (45/360)
= 3.14 × 2500 × 1/8
= 7850/8 = 981.3 cm²
Step-by-step explanation:
we can find the length of other side by hypotenuse formula,
which is h² = a² + b²
so,
a = 157
b = 168
now after inserting the values we got,
→ h² = (157)² + (168)²
→ h = 24649 + 28224
→ h = 52,873
→ h² = √52873 = 229.94
so, length of other side is 229.94
<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>!</em><em> </em><em>take </em><em>care</em><em> </em><em>and </em><em>may</em><em> u</em><em> have</em><em> a</em><em> great</em><em> day</em><em> </em><em>ahead!</em>
Answer:
±5sqrt(6)/6 = m
Step-by-step explanation:
4/9 = m^2-1/54
Add 1/54 to both sides
4/9+ 1/54 = m^2-1/54 +1/54
4/9+ 1/54 = m^2
Get a common denominator of 54
4/9 *6/6 + 1/54 = m^2
24/54 + 1/54 = m^2
25/54 = m^2
Take the square root of each side
±sqrt(25/54) = sqrt(m^2)
±sqrt(25/54) = m
±sqrt(25)/sqrt(54) = m
±sqrt(25)/sqrt(9)sqrt(6) = m
±5/3sqrt(6) = m
±5/3sqrt(6) *sqrt(6)/sqrt(6) = m
±5sqrt(6)/3*6 = m
±5sqrt(6)/6 = m
