9514 1404 393
Answer:
C. 3√2 units
Step-by-step explanation:
The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.
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If you like, you can see this using the Pythagorean theorem.
d² = s² + s² . . . . . where d is the diagonal, and s is the side
d² = 2s²
d = √(2s²) = s√2
For s=3, ...
d = 3√2
Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
Free points for youngk the goat
Hello,
f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)
lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11
Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11
at point(1,-7)
Answer:
Step-by-step explanation:
3rd one