Answer:
100
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is always larger than either of the legs by a factor of
. x is therefore:

Hope this helps!
If i'm correct you should add 0.5 mL to your 1 gallon tank, and I would say about 1.25 mL to your 2.5 gallon. It will not be extreme if you end up putting a little more in than you are supposed to. I'm not 100% because i haven't slept so my brain is being slow.
Answer:
15 miles
Step-by-step explanation:
the 2 mph is a red herring. If there is a rate of 10 mph, and the trip took 1.5 hours, the 1 hour=10 miles, and the .5=5 miles, add em up and its 15 miles
Answer: The Expression is Equivalent, However, NOT completely factored.
Step-by-step explanation:
3x^2 - 12
Following:
3 ( x^2 - 4 )
Factor:
3x^2 - 12
Factor Out Common Term 3:
3 ( x^2 - 4 ) = 3 (x^2 - 4 )
Factor:
x^2 - 4
( x + 2 ) ( x - 2 )
Answer:
3 ( x + 2) ( x - 2)
Hence, The Expression is Equivalent, However, Wasn't Completely Factored.
Hope that helps!
Answer:
Step-by-step explanation:
3. slope of CB = rise/run = 5/12 BF = 5 CF = 12
BF ⊥ DF
DB (seg of two farthest points) = √BF²+DF² = √5²+32² = √1049 = 32.4
4. f(x) = 2x² - 5x -3 vertex : A (h,k) for f(x) = ax² + bx +c
h = - b/2a = - (-5 / 4) = 5/4
f = f(h) = 2*(5/4)² - 5*(5/4) - 3 =25/8 - 25/4 -3 = -49/8
A (5/4 , - 49/8) i.e. (1.25 , - 6.13)
negative root: 2x² - 5x -3 = (2x+1) (x- 3) x = - 1/2 y = 0
B (- 1/2 , 0)
x coordinate of AB: 1/2 (1.25 + -0.5) = 0.375