For this case we have the following equation:
The steps used by Viktoriya to solve are:
Step 1:
Distributive property:
Step 2:
Combine similar terms:
Step 3:
Simplify:
Viktoriya's error is in the conclusion of the problem.
The equation has no solution, because:
<em>Left side ≠ right side
</em>
Answer:
Viktoriya's error is: the equation has infinitely many solutions.
Answer:
The radius of the circle is 4.7 in
Step-by-step explanation:
To solve this problem we have to use the circumference formula
c = circumference = 29.5in
r radius
π = 3.14
c = π * 2r
we replace with the known values
29.5 in= 3.14 * 2 * r
29.5 in / (3.14 * 2)
29.5 in / (6.28)
4.69745 in
round to the nearest tenth
4.69745 in = 4.7 in
The radius of the circle is 4.7 in
Answer:
decreased by 39%
Step-by-step explanation:
deacreased by
42.5-26= 16.5
16.5÷42.5=38.82352941
rounded to 39%
Answer: Graph D (bottom right corner)
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Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
