Answer:
x=5
Step-by-step explanation:
2(5x-1)=3(x+11)
10x-2=3x+33
10x-3x=33+2
7x=35
x=5
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3 ×( 13 × 42 ) = (3 × 13)×42. ASSOCIATIVE PROPERTY OF MULT.
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Answer
False
Step-by-step explanation:
You can find the X value of the vertex by the formula: b/(-2a)
In order to understand who is 'b' and 'a', you have to think about the generic quadratic function:
f(x)=ax^2 +bx+c
So, in our case, b=+2 and a=-5
b/(-2a)= 2/(-1)(-10)=1/5
Than, the first derivate of f(x) gives you the value of a stationary point. It could be a maximum or a minimum
f'(x)= -10x +2
f'(x)=0 when x=1/5
So the X coordinate is the same.
But you have to verify if it is (or not) a minimum.
f'(x) is positive for x<1/5 and negative for x>1/5
Thus, f(x) is growing for x<1/5 and it is decreasing for x>1/5
x=1/5 is the vertex, but it isn't a minimum
Answer:
Center = (1,3)
Radius = 6
Step-by-step explanation:
(-2/2)^2 = 1
(-6/2)^2 = 9
x^2 -2x + 1 + y^2 -6y + 9 = 26 + 1 + 9
(x-1)^2 + (y-3)^2 =36
6^2 = 36
Center= (1,3)
Radius= 6
