Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
First, you multiply 2/5 by -5 to get -2. Then, you multiply -2 by -2/3 (-4/6's simplified form) to get 1 1/3 as your answer.
Answer:
x<4
Step-by-step explanation:
-2x+20<2x+4
−2x+20−2x<2x+4−2x
−4x+20<4
−4x+20−20<4−20
−4x<−16
−4x/-4<-16/-4
x<4 its a open circle
Answer:
17
Step-by-step explanation:
2c + d^3 - 3e +4f
=2(3) + (5^2) - 3(6) + 4(1)
=6+25-18+4
=17
Answer:
4. C. x = 4 or -4
Step-by-step explanation:
since both terms are perfect squares, factor using the difference of squares formula, a² - b² = ( a + b ) ( 
- b ) where
