Answer:
5(c) - 6 = 4 - 3(c) is wrong
Step-by-step explanation:
The other problems are correct and equal. This one is wrong because when you do the equations you get 19 = -11 which is clearly not equal. You would need to change the equation to make it equal. So it would be:
5(c) - 6 = 4 - -3(c) so now it is 19 = 19.
So you would change 5(c) - 6 = 4 - 3(c) into 5(c) - 6 = 4 - -3(c)
<em>I hope this helps :)</em>
Answer:
AC = 13 units
Step-by-step explanation:
A(0 , -4) ; c(5 , 8)
Distance = 
![= \sqrt{(5-0)^{2}+(8-[-4] )^{2}} \\\\\\= \sqrt{5^{2}+(8+4)^{2}} \\\\\\=\sqrt{5^{2}+12^{2}}\\\\= \sqrt{25 + 144}\\\\= \sqrt{169} = 13 \\\\\\](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%285-0%29%5E%7B2%7D%2B%288-%5B-4%5D%20%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%20%5Csqrt%7B5%5E%7B2%7D%2B%288%2B4%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%5Csqrt%7B5%5E%7B2%7D%2B12%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B25%20%2B%20144%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B169%7D%20%3D%2013%20%20%20%5C%5C%5C%5C%5C%5C)
Answer:
There are two possible values for r (area): r =-7 or r=3
Step-by-step explanation:
Given the rectangular rug area is:
We have to convert the above equation into factored form.
So two numbers whose product is -21r² and sum is -4r
<=>
= 
= r (r -7) + 3(r -7)
= (r-7)(r+3)
We set
= 0
<=> (r-7)(r+3) = 0
<=> (r-7) = 0 or (r+3) = 0
<=> r =-7 or r=3
So, there are two possible values for r (area): r =-7 or r=3