Answer:

Step-by-step explanation:
Given
, start by squaring both sides to work towards isolating
:

Recall
and
:

Isolate the radical:

Square both sides:

Expand using FOIL and
:

Move everything to one side to get a quadratic:

Solving using the quadratic formula:
A quadratic in
has real solutions
. In
, assign values:

Solving yields:

Only
works when plugged in the original equation. Therefore,
is extraneous and the only solution is 
Answer:
Number of cats is (5/9)(63) = 35, and number of dogs is (4/9)(63) = 28
Step-by-step explanation:
The given ratio is 5 to 4. Sum these up, obtaining 9. Then (5/9) of the whole represents the number of cats, and (4/9) of the whole represents the number of dogs.
Number of cats is (5/9)(63) = 35, and
number of dogs is (4/9)(63) = 28
As a check: 35 + 28 = 63.
Step-by-step explanation:
given
3x + y = 9
Writing In slope intercept form , y = mx + c
y = -3x + 9
comparing the given equation with y = mx + c
slope (m) = - 3
y-intercept (c) = 9
Hope it will help :)
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1/3
d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6
Substitute the values into the above formula
That's
<h3>

</h3>
So the nth term of the sequence is
<h3>

</h3>
For a50 since we are finding the 50th term
n = 50
So we have
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you