This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
Hello :
the line has an undefined slope if paralel a axis- y : equation x = 1 (<span>passes through the point (1, 3))</span>
Answer:
18 kmh
Step-by-step explanation:
Given: Speed of cyclist is 9 km/h more than skater´s speed.
Distance covered at the given time by cyclist is 45 km and by skater is 30 km.
Let´s assume the speed of skater be "x"
∴ Speed of cyclist will be 
Remember; time= 
We know the time taken by both cyclist and skater are same.
∴ we can form an equation to find the speed of skater.
Time taken by cyclist= time taken by skater
⇒ 
Multiplying both side by 
⇒ 
Using distributive property of multiplication
⇒
Subtracting both side by 30x
⇒
Dividing both side by 15
⇒
∴
Hence, speed of the skater is 18 kmh
2/7x-1/7x=100
subtract the 2/7x and the 1/7x
so it would be
1/7x=100
multiply 1/7 on both sides
so
x=100 times 1/7
solve
x=100/7
x=14 2/7
If by standard form, you mean ax+by= c, here is how to solve.
To write the equation in standard form, move each variable term to the left side of the equation and simplify.
y+2=3/5(x + 5)
y+2= (3/5*x) + (3/5*5)
y+2= 3/5x + (3*5)/5
y+2= 3/5x +15/5
y+2= 3/5x + 3
subtract 3/5x by both sides
-3/5x+y+2= 3
subtract both sides by 2
-3/5x+y=1
multiply by 5 to eliminate fraction
-3x + 5y= 5
ANSWER: -3x + 5y= 5
Hope this helps! :)
