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Hey!
So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:
-3y + 4x = 9
-3y = -4x + 9
y = (4/3)x - 3
Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:
6 = (4/3)(-12) + b
6 = -16 + b
22 = b
Now that we know b, we have both the y-intercept and the slope so our equation would be:
y = (4/3)x + 22
The exponential form of this equation is "0.8⁴ = 0.4096 ".
Now, in this logarithm equation the base of the log is 0.8.
when we convert this equation to exponential form 0.8 will go to left side, 4 moved up and became the exponent of 0.8 and thus it makes the exponential equation;
4=log₀.₈ 0.4096 <span>logarithmic equation
0.8</span>⁴ = 0.4096 exponential form
<span>The sum of the
angle of a triangle is 180 degrees. It is mentioned that Hannah drew a pattern
of equilateral triangles. Equilateral triangle has three equal sides. Also, its
angles are the same, having 60 degrees at each corner of the triangle. The answer
is a. Letter b does not qualify to be an equilateral triangle because 120
degrees times 3 is greater than 180 degrees. Letter c and d exceeds the total
number of angles at 180 degrees.</span>
