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.
Answer:
3/2y -5
Step-by-step explanation:
− 1/2 (−3y+10)
Distribute
-1/2 * -3y + -1/2(10)
3/2y -5
The given sequence is a geometric sequence. The property of geometric sequence is that each term is multiplied by a specific number known as "common ratio" to get the next term. In this case the common ratio is 1/2.
2 x 1/2 = 1
1 x 1/2 = 1/2
1/2 x 1/2 = 1/4
and so on..
Answer:
Option (3)
Step-by-step explanation:
Perimeter of a regular hexagon = 30 units
Length of one side = 
= 5 units
Interior angle of hexagon = 
= 
= 120°
BC is an bisector of the angle measuring 120°.
m∠ABC = 60°
Similarly, m∠BCA ≅ ∠CAB ≅ 60°
Therefore, ΔABC is an equilateral triangle.
By the property of equilateral triangle, all sides of the triangle will be equal in measure.
AB ≅ BC ≅ AC ≅ 5 units
Perimeter of triangle ABC = AB + BC + AC
= 5 + 5 + 5
= 15 units
Option (3) will be the answer.
