Answer:
There are no extraneous solutions
Reasoning:
An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.
first we want to isolate z:
1+sqrt(z)=sqrt(z+5)
^2 all ^2 all
(1+sqrt(z))(1+sqrt(z))=z+5
expand
1+2sqrt(z)+z=z+5
-1 -z -z -1
2sqrt(z)=4
/2 /2
sqrt(z)=2
^2 all ^2 all
z=4
Since there is one solution and it is a real number, there are no extraneous solutions.
Answer:
The measure of angle B is 33 Degrees.
Step-by-step explanation:
The triangles are said to be similar. then their corresponding angles are equals.



Then from the given data,


Now according to the triangle sum property,





Answer:
Distance between points (5, -3) and (0, 2) is √50 or 7.07
Step-by-step explanation:
We need to find distance between two points (5,-3) and (0,2)
The distance formula used is:

here
x₁= 5, y₁=-3, x₂=0 and y₂=2
Putting values in the formula:

So, distance between points (5, -3) and (0, 2) is √50 or 7.07
Answer:
x = -36
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
f(x) = 2x^2 + 1
Let x= 3
f(3) = 2 * (3)^2 +1
Exponents first
= 2 * 9+1
Then multiply
= 18+1
Add
= 19