<h3>
Answer: y - 1 = 3(x - 2)</h3>
Explanation:
The point-slope form is this general template
y - y1 = m(x - x1)
We replace m with the given slope 3, so we get to this
y - y1 = 3(x - x1)
Then replace the given point (x1, y1) with (2, 1) to end up with
y - 1 = 3(x - 2)
Combine like terms
2x^2 + -7x^2 = -5x^2
-9x + 4x = -5x
3 + -2 = 1
put back together
-5x^2 - 5x +1
Answer:
D. 6 feet.
Step-by-step explanation:
The third longest side of ABCD is 12 feet long and the third longest side of EFGH is 18 feet long.
As they are similar the corresponding sides are in the same ratio so
12/18 = x/9 where x is the 4th side of ABCD.
2/3 = x/9
3x = 18
x = 6 feet.
The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).
Answer:
B. 4√3
Step-by-step explanation:
