X^2 + 9x^2
----------- = 16
(x + 3)^2
multiply each term by (x + 3)^2:-
x^2(x + 3)^2 + 9x^2 = 16(x + 3)^2
x^2( x^2 + 6x + 9) + 9x^2 = 16x^2 + 96x + 144
x^4 + 6x^3 + 18x^2 = 16x^2 + 96x + 144
x^4 + 6x^3 + 2x^2 - 96x - 144 = 0
This is difficult to solve algebraically so I drew a graph There are 2 real roots
x = -1.65 and x = 3.65 to nearest hundredth
Answer:
y = -x + 6
Step-by-step explanation:
Here we use the slope intercept form y = mx + b, substituting 2 for x, 4 for y and -1 for m:
4 = -1(2) + b, or
4 = -2 + b, or b = 6
Then the desired equation is
y = -x + 6
The claim made by Kyle is not entirely true and unjustifiable because for the figures or solids to be similar, not only the corresponding sides should have the finite ratio but also the corresponding angles should be equal. Although, the claim depends on the type of quadrilateral.
Since there are 50 stars, it would be 50 as 2500 divided by 50 is 50
Answer:
x² + y² - 6x - 16 = 0
Step-by-step explanation:
From the graph, the center point is (3, 0) and the radius is 5 so the standard equation is (x - 3)² + y² = 25. Let's turn this into general form now:
x² - 6x + 9 + y² = 25
x² + y² - 6x - 16 = 0