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.
#7 is the easiest one.
a + bi = -9 + 4i
see the expression on either side matches up so..
a = -9 and b = 4
Answer:
A) x^2-10x+25 B)X^3-15x^2+75x-125
Step-by-step explanation:
H^2=(x-5)(x-5)=x^2-10x+25
H^3=(x-5)(x-5)(x-5)=X^3-15x^2+75x-125
Answer:
3
Step-by-step explanation:
A ( 2, 2 )
( x1, y1 ) = ( 2, 2 )
Here,
x1 = y1 = 2
B ( - 2, - 2 )
( x2, y2 ) = ( - 2, - 2 )
Here,
x2 = y2 = - 2
Distance formula : -
d = √ ( x2 - x1 )² + ( y2 - y1 )²
AB = √ ( - 2 - 2 )² + ( - 2 - 2 )²
= √ ( - 2 )² + ( - 2 )²
= √ 4 + 4
AB = √8
The value of √8 is 2.828.
Roundoff to nearest 10 is 3.
