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).
<h2>
Answer: 31 & 32</h2>
Step-by-step explanation:
So we first need to assign letters to represent the numbers.
Let 'a' be the larger number and 'b' the smaller.
Now we can use this to write equations that we can solve simultaneously to find both 'a' and 'b'.
according to the question:
a + 4b = 156 [1]
a - b = 1 [2] (this is because the integers are consecutive
We can rearrange [2] to make 'a' the subject: a = b + 1 [3]
We can then substitute [3] into [1] and solve for b
(b + 1) + 4b = 156
5b = 155
b = 31
Now we can find 'a' using [3]
a = 31 + 1
a = 32
Answer:
The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii.
Step-by-step explanation:
Radius of first circle 
= 9 inches
Area of first circle = 
Area of first circle = 9 × 9 × π = 81 π
Now, since the radius is multiplied by 2/3 for from a new circle.
∴ Radius of the second circle = 
Area of second circle = 
Area of second circle = 6 × 6 × π = 36 π
Now,
∵ = 9 inches and 
= 6 inches
The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii. i.e., 
Answer: let get started
Step-by-step explanation: the sum of two-thirds of a number and eight is equal to the difference of seven-thirds of the same number and two
Answer:
<u>The original price of the car was 11198.75</u>
Step-by-step explanation:
Hope it helps!
