Answer:
Option A. the solution a = -4 is an extraneous solution.
Step-by-step explanation:
Lets solve the radical equation to get the potential solutions.
√(a + 5) = (a + 3)
By squaring terms on both the sides
[√(a + 5)]² = (a +3)²
(a + 5) = (a + 3)²
(a + 5) = a² + 6a + 9
0 = a² + 6a + 9 - a - 5
a² + 5a + 4 = 0
a² + 4a + a + 4 + 0
a(a + 4) + 1(a + 4) = 0
(a + 1)(a + 4) = 0
a = -1 or a = -4
Now if we put the value of a = - 4 in the radical equation then we get
√(-4 + 5) = (-4 + 3)
√1 = -1
1 = -1 ( Therefore a = -4 is not the solution)
Now by putting a = -1
√(-1 +5) = -1 + 3
√4 = 2
2 = 2 which shows the equal relation.
Therefore a = -4 is an extraneous solution.
Option A. is the correct option.
Answer:
69,180
Step-by-step explanation:
Answer:
its clearly B because you change the first sign ( from - to +) so it ia 2 + then also change the next sign ( from - to +) so now it becomes 2 + 8.
Step-by-step explanation:
Answer:
2,3,4,5,6 is the domain
4,6,8,10,12 is the range
Step-by-step explanation:
An isosceles triangle is one in which 2 angles have similar
measure while the other one is different. In this case, the 2 vertex angles
have a measure of 42 degrees, therefore the third angle which is equal to (2x +
3) is:
(2x + 3) + 42 + 42 = 180
2x + 3 = 96
<span>x = 46.5°</span>