Yeah sure! Just make sure to post them haha :)
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Step-by-step explanation:
Our roots are 3, and i so our roots form
will be
Since i is one root, it conjugate, must be the other.
so we have
Simplify
So the function is
Answer:
d. 13.5, 20.25
Step-by-step explanation:
An exponential function is monotonic and does not change sign. On this basis alone, the first three choices can be eliminated.
The common ratio is 6/4 = 3/2.
The term in the sequence after 9 is 9·(3/2) = 27/2 = 13.5.
The term in the sequence after 27/2 is (27/2)·(3/2) = 81/4 = 20.25.
Answer:
One
Step-by-step explanation:
6z - 3z - 7 = -2 + 3
Combine like terms
3z-7 = 1
Add 7 to each side
3z-7+7 = 1+7
3z=8
Divide each side by 3
3z/3 = 8/3
z = 8/3
There is one solution
