To factor out you have to think what multiples to AC and adds to B.
Ax^2+Bx+C
So... for this problem AxC=1x-24 or -24
B is -2.
So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.
Out of these, which adds to -2: -6+4=-2.
So the factors are (d-6)(d+4)
OR the longer way, which you really only use if A is not equal to 1.
Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24
Group the terms by using addition: (d^2+4d)+(6d-24)
Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.
For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)
If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.
The two terms outside the parenthesis: d, -6 group together and become (d-6)
The inside terms stay the same: (d+4)
(d-6)(d+4)
Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.
Answer:
3 hours and 51 minutes
Step-by-step explanation:
Take the ending time and subtract the start time
3:13pm - 11:22am
Remember that pm means aft 12 o'clock in the after noon so add 12 hours
12+3:13 - 11:22
15:13 - 11:22
We are subtracting more minutes than we have so we have to borrow from the hours
1 hour = 60 minutes
14 : 60+13 - 11:22
14:73 - 11:22
3: 51
3 hours and 51 minutes
The answer is B.12 because if she make 3 in 5 hours that means that in twenty hours should make 12 because it's like this 3 x 4 = 12 and 5 x 4 = 20 so when you add the hours up you'll get the answer
We have:
So: w = 15 is not a solution of the inequality.
Ok done. Thank to me :>
Answer:
SEE BELOW
Step-by-step explanation:
Since, △ABC is a right angled triangle. We can apply Pythagoras' Theorem to find the length of AB.
According to Pythagoras’ theorem, “In a right angled triangle: The square of the hypotenuse is equal to the sum of the squares of the other two sides.”
Applying Pythagoras’ theorem in △ABC, we get
AB2=AC2+BC2
⇒AB2=52+122
⇒AB2=25+144
⇒AB2=169
⇒AB=169−−−√
⇒AB=13 cm
