Answer:
The Answer to this problem is 150
Step-by-step explanation:
Ok so basically, when you say multiply A by C, that is simplifying.
And in this case, you are factorising in this question. You turn back into brackets basically.
We have:
72x^2 - 32
x^2 = x squared
factorising means finding the factor of.
(Forget the x squared for the moment to make life easier)
Factors of 72:
1 and 72
2 and 36
3 and 24
4 and 18
6 and 12
8 and 9
(9 and 8 = it repeats so we stop there)
And then factors of 32:
1 and 32
2 and 16
4 and 8
(8 and 4 = repeats so we stop there)
Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!
This is what we would have:
8(9-4)
BUT, that is not the answer!
Keep in mind we have the x squared too
But, 32 doesn’t have it?!!
It would be:
8(9x^2 - 4)
Do you get it??
Try to simplify it! Does it equal to 72x^2 - 32?
(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)
Answer:
No, 2.171m.
Step-by-step explanation:
Add all of measurements. 3.52+17.3+27.009=47.829
Compare 2 numbers.
47.829<50
So she needs more ribbon,because the length she has is less the requirement, 50m.
Find the difference(the length she needs).
50-47.829=2.171
Answer:
x=10
Step-by-step explanation:
h(x)=-5(x-4)^2+180
Set y = 0 to find when it hits the ground
0 = -5(x-4)^2+180
Subtract 180 from each side
-180 =-5(x-4)^2+180-180
-180 =-5(x-4)^2
Divide by -5
-180/-5 =-5/-5(x-4)^2
36 = (x-4)^2
Take the square root of each side
±sqrt(36) = sqrt( (x-4)^2)
±6 = (x-4)
Add 4 to each side
4±6 = (x-4)+4
4±6=x
x = 10 or -2
But time cannot be negative so x=10
