Answer:
-56/9
Step-by-step explanation:
By Vieta's formulas,
$r + s = -\frac{4}{3}$ and $rs = \frac{12}{3} = 4.$ Squaring the equation $r + s = -\frac{4}{3},$ we get
$r^2 + 2rs + s^2 = \frac{16}{9}.$ Therefore,
$r^2 + s^2 = \frac{16}{9} - 2rs = \frac{16}{9} - 2 \cdot 4 = -\frac{56}{9}}$
Answer:
Step-by-step explanation:
3x^2 + 2x^2 - 5x + 7x + 6 - 9
5x^2 + 2x - 3
Answer:
60 tiles.
Step-by-step explanation:
$15.00 per tile plus a flat fee of $378.00 that charges Tile All.
Therefore, for x number of tiles, the total cost of installation will be
C = 378 + 15x ........... (1)
Again, $14.50 per tiles plus a flat fee of $550.00 that charges Kitchen Plus. Amanda has at Kitchen Plus, a 10% discount coupon.
Therefore, for x tiles installation the charges will be
.......... (2) (Answer)
Now, if for x number of tiles both the company charges the same, then
378 + 15x = 495 + 13.05x (From equations (1) and (2)}
⇒ 1.95x = 117
⇒ x = 60 tiles. (Answer)
Step-by-step explanation:
<em>Given</em>
<em>radius </em><em>(</em><em>r) </em><em> </em><em>=</em><em> </em><em>9</em><em> </em><em>cm</em>
<em>Area </em><em>of </em><em>the </em><em>circle </em><em>(</em><em>A) </em><em> </em>
<em>=</em><em> </em><em>π</em><em>r²</em>
<em>=</em><em> </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>*</em><em> </em><em>9</em><em>²</em>
<em>=</em><em> </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>*</em><em> </em><em>8</em><em>1</em>
<em>=</em><em> </em><em>2</em><em>5</em><em>4</em><em>.</em><em>3</em><em>4</em><em> </em><em>cm²</em>
Step-by-step explanation:
Please refer to the attachment
