Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
Answer:
4
Step-by-step explanation:
Answer:
A≈153.94cm²
Step-by-step explanation:
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·142≈153.93804cm²
Answer:

Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
In this problem we have


substitute and solve for b



The equation of the line is equal to

Answer:
The roots are
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Step-by-step explanation:
9x² + 54x + 82 = 0
Using the quadratic formula
That's
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From the question
a = 9 , b = 54 , c = 82
Substitute the values into the above formula and solve
That's
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Separate the real and imaginary parts
That's
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We have the final answer as
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Hope this helps you