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:
-7/45
Step-by-step explanation:
First, find the lowest common denominator for 9 and 15. It's 45. Make both fractions over 45 by multiplying the top and bottom by the same number.

Since 15*3=45, multiply the top by 3 also. Since 9*5=45, multiply the top by 5 also.

Combine the fractions
Answer in lowest terms
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- given
- given;
as vertical angles.
So,
by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).
Congruent triangles have congruent corresponding parts, hence,

Answer:
write a story or description in your society caused by extremity
Answer: 5
The Distance between the coordinates of two points is measured by distance formula.
Step-by-step explanation:
The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by
Distance PQ=
(x2-x1)²+(y2-y1)²
So, the distance between (-1,4 ) and (2,0) can be calculated by
Distance=
(2-(-1))²+(0-4)²
=
(3)²+(-4)²
=
9+16 =
25 as
25 = 5
Distance = 5
So the distance between the two coordinates is 5.