The given expression can be simplified in many ways by grouping like terms. The simplest form is obtained by factoring out a²b which gives us the following expression.
a²b(7 + 10b +14b²)
I see the solution in three steps.
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS<span>≅RS | Reflexive Property
3.) </span><span>△RST ≅ △RSQ | AAS Triangle Congruence Property</span>
<h2>-2+5i and 2+5i</h2>
Step-by-step explanation:
Let the complex numbers be 
.
Given, sum is 
, difference is 
and product is 
.
⇒ 
⇒ 
Hence, all three equations are consistent yielding the complex numbers 
.
So what I did was as $32.50 twice and got $65.00 and subtracted it with $212.50 and got $152.50. Hope i was helpful!
First, you need to determine the resultant force and its angle. This one is real easy, since you only have one (x) and one (y) component. X = 300 and Y = 480
<span>1) sqrt (300^2 + 480^2) = ? (round your answer) </span>
<span>2) tanθ = y/x Solving for θ: θ = tan^-1(y/x): θ = ? (round your answer) </span>
<span>Now, you should have a resultant force value and its angle, from zero, in the first quadrant and between the Y and N axes. Draw yourself a diagram showing all of the axes, the resultant and the angles. You're going to have to do some very easy math to determine the angles between the Y and N axes and the resultant. Call these new angles α and β. α is the angle between N and the resultant and β is the angle between T and the resultant. Hint: one of them is 28 deg. </span>
<span>Once you've gotten those figured, the Y and N axes become your new axis, ignore the X and Y. Find the X and Y components of the resultant (again). ? * cos(α) = 500 and ? * sin(β) = 266 (round your answers)</span>
