Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
If a line passes through two points 
and 
, then the equation of line is
From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is
All area above the solid line is shaded. It means the sign of inequality is ≥.
From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is
All area below the dashed line is shaded. It means the sign of inequality is <.
System of inequality is
Therefore, the correct option is D.
Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
- y - (-8) = 3(x - (-2))
- y + 8 = 3(x + 2)
- y + 8 = 3x + 6
- y = 3x - 2
The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
Answer:
- Collect like terms and simplify
- Subtract 7 from both sides
Step-by-step explanation:
METHOD 1
METHOD 2
Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
Answer:
Step-by-step explanation:
The conjugate of a radical expression is obtained by changing the sign of the middle term.
The conjugate of 
is simply 
Therefore, to obtain the conjugate of the given expression we simply shall be changing the negative sign to positive;
The conjugate of 
is simply;
