Answer:
9 inches
Step-by-step explanation:
A^2+b^2=c^2 so
40^2+b^2=41^2
1600+b^2=1681
so b^2=81
so b=9
We can tell that this absolute value function opens up, so the vertex will be at the x value where the output is the lowest. The lowest you can make |x+5| go is 0, because everything else will be a positive number is greater. The one x value that does that is -5. Plug in -5, and you will get |-5+5|-1=-1. So, the ordered pair for the vertex will be (-5,-1)
I am not really sure about this answer, but it is 4308.08in
Hope this helps!
Answer:
X = -8 and X = 2
Step-by-step explanation:
X^2 + 6X - 6 = 10
Bring the 10 over:
X^2 + 6x - 16 = 0
From here, either use the quadratic formula or
manual factorization by finding its roots:
Manually:
(X + 8)(X - 2) = 0
Equate each factor to 0 you will get:
X + 8 = 0 and X - 2 = 0
Solutions are -8 and 2 respectively.
First you need to convert the mixed numerals to improper fractions , for example 1 1/3 = 1/3 + 3/3 = 4/3. Then you multiple across the numerators, the top number, and then the denominator, the bottom number. Simplify the answer if necessary.
1 1/3 x 5/6
4/3 x 5/6 = 20/18 Divide numerator and denominator by 2
10/9 write as a mixed number 1 1/9
