Answer:
Therefore x=9
Step-by-step explanation:
Give that,
log x+ log (x-3) = log 54
log x(x-3) =log 54 [ 
]
x(x-3) = 54
Now expand the above equation to get a quadratic equation
x²-3x=54
⇒x²-9x+6x-54=0
⇒x(x-9)+6(x-9)=0
⇒(x-9)(x+6)=0
⇒x-9=0 or, x+6=0
⇒x=9,-6
Now putting x= -6 in the given expression,
log(-6)+log(-6-9)=log 54.
Since log (-6) does not exist.
Therefore x=9
Answer:
One tenth
Step-by-step explanation:
You state the number on top as is.
Numerator:
1 - one
2- two
and so on.
over the denominator
which you state as an ordinal number
2 = halves
3 = thirds
4 = fourths
5 = fifths
etc.
so 1/10 would be one over tenths but you say one tenth.
Answer:
A
Step-by-step explanation:
Just like the last time that you asked this question, when you multiply the x^2 part of the parabolic function by a certain coefficient, the graph is stretched by that amount. When you add a certain amount, the graph is shifted up that much. Hope this helps!
Answer:
x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)
Step-by-step explanation:
APRB form a cyclic trapezoid
∠APO = x° (Base angle of an isosceles triangle)
∠OPR = ∠ORP (Base angle of an isosceles triangle)
∠ORB = ∠OBR (Base angle of an isosceles triangle)
∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)
Similarly;
∠ORB + ∠ORP + x° = 180°
Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR = ∠ORP we put
We also have;
∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)
Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR
Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.
Primary effects are the direct result of the natural disaster, such as collapsed buildings and water damage. Secondary effects are the result of primary effects. ... Tertiary effects are the long term effects of natural disasters.
