Answer:
−1 + i times the square root of 3
is the answer.
Step-by-step explanation:
Given is a quadratic equation in x
using completion of squares method
Equate to 0
Take square root
Subtract one from both sides
x = [/tex]-1±i\sqrt{3}[/tex]
The last option namely
−1 + i times the square root of 3 only matches with our answre
Hence last option is right.
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
So first turn it into an improper fraction, so it would be 7/5×2/1. So once multiplied, your answer will be 14/5. then to express as a decimal, you do 14÷5, which would be 2.8
Answer:
B, 36 cubic feet
Step-by-step explanation:
The volume of a rectangular prism can be found by multiplying together all of the side lengths. 6*2*3=36 cubic feet, or option B. Hope this helps!