Step-by-step explanation:
x^2 -2kx +7k -12 = 0
two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0
so k =3 and k =4
What is the last one number 12
I'm not quite sure these are right. You might wanna check with a classmate or something first.
Step-by-step explanation:
(6x + 10) + (x + 17) + (4x - 34) = 180
11x - 7 = 180
11x = 173
x = 15.73 (answer had repeating decimal so i rounded up in the hundredths place)
(6x + 10)
6 (15.73) + 10
94.38 + 10
104.38
(x + 17)
(15.73) + 17
32.73
(4x - 34)
4(15.73) - 34
62.92 - 34
28.92
Let's take a look at each term separately.
15a^2b^2:
15 has factors 1, 3, 5, 15
a x a
b x b
-24ab
-24 has factors 1, 2, 3, 4, 6, 8, 12, 24
a
b
Now, we can see what each of these terms has in common. Both have a 3 in their factor lists, as well as one a and one b.
Therefore, the greatest common factor is 3ab.
Hope this helps!! :)
