log₉(<em>x</em> - 7) + log₉(<em>x</em> - 7) = 1
2 log₉(<em>x</em> - 7) = 1
log₉(<em>x</em> - 7) = 1/2
Take the base-9 antilogarithm of both sides; in other words, make both sides powers of 9:
can also be written as √9 = 3, and , so the equation reduces to
<em>x</em> - 7 = 3
Solve for <em>x</em> :
<em>x</em> = 10
For the given triangle, the tan of angle A equals C.
Step-by-step explanation:
Step 1:
For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.
So we need to calculate the value of BC for the given triangle
Step 2:
In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.
To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.
sin A = .
Step 3;
The length of the opposite side = a,
The length of the hypotenuse side = 400 units.
. So
= 169.04 feet.
So the change in elevation is 169.04 feet.
You are given an expression for y, so put that expression where y is in the first equation.
... 12x -5(x+4) = -20 . . . . . x+4 substituted for y
... 12x -5x -20 = -20 . . . . eliminate parentheses
... 7x = 0 . . . . . . . . . . . . . . collect terms, add 20
... x = 0 . . . . . . . . . . . . . . divide by 7
... y = x +4 = 0 +4 = 4 . . . put the value of x into the expression for y
The solution is x=0, y=4.