Although the graph is not given in the option, so I would consider it from a different graph with the same question. The graph that represents the area of each rectangle in terms of the change in the length and width is the one with coordinate points located on the grid. The coordinate points on the form of (x,y) are represented as:
1. (0,40)
2. (1,45)
3. (2,47)
4. (8,25)
Hence,The graph with these coordinate points will be representing the situation.
b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
Answer:
x = 25
Step-by-step explanation:
The sum of the angles in a triangle are equal to 180 degrees. Since we know the value of one angle is 90 degrees, subtract 90 from 180 to get 90. Now we know the sum of the other two angles must equal 90 degrees. If we add the x and 2x + 15 together, we get 3x + 15 = 90. Subtract 15 from both sides to get 3x = 75. Divide both sides by 3 to get x = 25.
X=2 y= 12+6x, xeR
hope that helps
