Given pair of lines are x² + 4xy + y² = 0
⇒ (y/x) ² + 4 y/x + 1 = 0
⇒ y/x = -4±2√3/2 = -2±√3,
∴ The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle
Clearly the pair of lines x² + 4xy +y² = 0 intersect at origin,
The perpendicular distance form origin to x - y = 4 is the height of the
h = 2 √ 2
∵ Area of triangle = h²/√3 = 8/√3
Answer:
3:6, 18:4 keep exploring man!
Step-by-step explanation:
think of numbers to make them both true like ex 3 for a and 6 for b so in this case you could do 3:6
Answer:
Using the Pythagorean Theorem:
distance^2 = 72^2 + 65^2
distance^2 = 5,184 + 4,225
distance^2 = 9,409
distance = 97 yards
"round-trip" distance = 97 * 2 = 194 yards
Step-by-step explanation:
Answer:
A is correct
Step-by-step explanation:
A has no solution because since the slopes are the same, setting both equations equal to each other will cancel out the slopes and result in 8=16, meaning no solution will make both sides equal to each other.
B does have a solution because of different slopes
C does have a solution because of different slopes
D does have a solution because of different slopes
Answer:
155 + 
+ 14
Step-by-step explanation:
The variable x would represent the number/value we don't know, and in this case, we don't know what number is raised to the third power. This being said, x would represent that number.
The question, although worded a bit confusingly, asks to add 155, the number (x) to the exponent of 3, and 14. Mathematically, this would be 155 + + 14.
