Answer:
30 inches
Step-by-step explanation:
1 ft= 12 inches
12×2= 24
1/2 of 12 is 6
24+6=30
30 inches
Answer:
Austen's share of the business was $364000.
Step-by-step explanation:
Austen owns 
of a jewelry store.
Now, it is given that the total investment for the store was $832000.
If we consider the share of Austen in the business is of $x, then we can write that
⇒ x = $364000
Therefore, Austen's share in the business is of $364000 value. (Answer)
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
So the word 'of' can be intrerprited as multiply so
1/8 of 3/4=(1*3)/(8*4)=3/32
if you multiply 3/32 by 8 you will get 24/32 or3/4
so the answer is 3/32
Answer:
x=16
Step-by-step explanation:
We are given that
we have to solve this equation for x
in order to do that we need to isolate x first
hence
subtracting 11 from both sides we get
Now we square on both sides we get
hence x =16
