<em>given,</em>
<em>measure of sides of the</em><em> </em><em>square = 12 cm</em>
<em>we know,</em><em> </em><em>diagonal</em>
<em>d = a√2</em>
<em>now,</em>
<em>d = 12√2</em>
<em>d </em><em>=</em><em> </em><em>1</em><em>6</em><em>.</em><em>9</em><em>7</em><em>0</em><em> </em>
<em>a/</em><em>q </em><em>we </em><em>have </em><em>to </em><em>round</em><em> </em><em>the </em><em>answer </em><em>to </em><em>the </em><em>nearest</em><em> </em><em>centimetres</em>
<em>so,</em><em> </em>
<em>it </em><em>is </em><em>1</em><em>7</em><em> </em><em>cm</em>
<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>
Answer:
Step-by-step explanation:
Given
Required
Factor
Factor out 
<em>The expression cannot be further factored</em>
Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
Answer:
Step-by-step explanation:12
(5x⁴ - 3x³ + 6x) - (3x³ + 11x² - 8x)<span>
</span>Expand the second bracket by multiplying throughout by -1
5x⁴ - 3x³ + 6x - <span>3x³ - 11x² + 8x
</span>
Group like terms and simplify
5x⁴ - 3x³ - 3x³ - 11x² + 6x <span>+ 8x
</span>5x⁴ <span>- 6x</span>³ - <span>11x² + 14x</span>
