Answer: 2y + 3x - 16 = 0
Step-by-step explanation:
Equation of the line is y = 2x/3 - 5
From the equation , the slope m₁ = 2/3. therefore recall, from condition for perpendicularity, m₁m₂ = -1
The product of their gradient must be (-1).
Now since m₁ = 2/3 and m₁m₂ =-1
2m₂/3 = -1
Therefore , m₂ = -3/2.
Since the equation passes through the coordinate of (6,-1)
we now substitute for x and y in the equation of a line to get the y intercept (c)
y = mx + c
-1 = -3x/2 +c
-1 = -3/2 x 6 + c
-1 = -9 + c
-1 + 9 = c
Therefore c = 8
Now to get the equation of line that is perpendicular to y = 2x/3 - 5
y = -3x/2 + 8
making it a linear equation,
2y = -3x + 16
2y +3x - 16 = 0
5,000,000 + 2000 + 100 + 90
Like that
Answer:
t = -1, 2
Step-by-step explanation:
Step 1: Define
h(t) = -5t² + 5t + 10
Step 2: Factor
h(t) = -5(t² - t - 2)
h(t) = -5(t - 2)(t + 1)
Step 3: Find roots
0 = -5(t - 2)(t + 1)
0 = (t - 2)(t + 1)
t - 2 = 0
t = 2
t + 1 = 0
t = -1
Answer: d) x+y =40
x=2y -11
Step-by-step explanation:
Answer:
0.3
Step-by-step explanation:
30/(30+20+50) = 30/100 = 0.3
