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
Answer:
1/6
Step-by-step explanation:
3/18 divided by 3
42 - 47
Polygons are
triangle, trapezoid, triangle, parallelogram, rectangle and parallelogram
The area of triangles = 1/2 * base * haight.
Area of the parallelograms = height * base.
Area of rectangle= width * length
Area of trapezoid = 1/2 * (a + b) * height where a and b are the opposite parallel sides
The perimeters = sum of the sides of the polygons.
1st slope is -1/3. 2nd slope is 6
slope is same in parallel lines so not parallel
slopes are negative reciprocals in perpendicular lines so they aren't perpendicular
they are called oblique
Find the ratio of the given one: 20/200 = 0.1
this means the sugar (y) is 0.1 amount of soda (x)
Multiply the amount of soda by 0.1:
Formula is y = 0.1x
