Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Answer:
14 x 7 = 98 divided by 3= 32.6
Step-by-step explanation:
Are you trying to find the length of x?
i dont know if this is the right answer
Answer:
89
Step-by-step explanation:
7^2=49
49+4=53
6^2=36
53+36=89
31x^2 + 53x - 8
Use the FOIL method to find the area of the large rectangle. (7x - 2)(9 + 5x)
First term in each binomial: 7x * 9 = 63x
Outside terms: 7x * 5x = 35x^2
Inside terms: -2 * 9 = -18
Last term in each binomial: -2 * 5x = -10x
Now, just add them all up.
63x + 35x^2 - 8 - 10x
35x^2 + 53x - 8
Now find the area of the square.
2x * 2x = 4x^2
Now, subtract the areas.
31x^2 + 53x - 8
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