x = - 1
given = x + 3
square both sides
1 - 3x = (x + 3 )² ( expand right side using FOIL )
1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )
0 = x² + 9x + 8
0 = ( x + 1)(x + 8)
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = -1
x + 8 = 0 ⇒ x = - 8
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = - 1 : = 2 and - 1 + 3 = 2 ← true
x = - 8 : = 5 and - 8 + 3 = -5 ← false
thus the only solution is x = - 1
Answer:
25
Step-by-step explanation:
Answer:
Jim bought 3 burgers for $5.50 & 2 orders of fries for $3.00. Abby bought 2 burgers for $9.00 and 4 orders of fries for $5.00.
Step-by-step explanation:
Answer:
30% of them are sunglasses
Step-by-step explanation:
The equation of a circle centered at (h, k) and with radius r is
In this case, the center is point (2, 1), so h = 2, and k = 1.
We also need the radius. We are not given the radius, but we have the center and a point on the circle. The distance between the center and any point on the circle is the radius. We can use the distance formula to find the distance between points (2, 1) and (5, 2).
The radius is the distance between the points, so
Now we have all the information we need, so we can write the equation of the circle.
Answer: