There are 42 cats, and 49 dogs at animal shelters because I know that 6:7 will have total 13 parts, and I just need to take 91 divided for 13 to get 7 for each part, and to find how many cats are there; I just need to take 7 times 6 to get 42 cats, and take 91 subtract for 42 to get 49 dogs. Hope it help!
Answer:
y=3
(bc it is the same length as its perpendicular counterpart.
x= 9 (same with Z)
(From pythagorean theorem)
6^2+3^2= (root of) 45
and square root 45
and it is the same as its counterpart (which is z)
Step-by-step explanation:
as I explained on the answer(it doesnt let this part be unwritten)
Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:

Where a is the leading coefficient.
We are given the following function:

To find the vertex, we need to complete squares. First, factor -2 on the first two terms:

The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:

Taking out the -1:

Factoring the trinomial and operating:

Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
Answer:
a triangular prism
Step-by-step explanation:
the 2 triangles
Answer:
x > 30
Step-by-step explanation:
x + 2 > 32
Subtract 2 from each side
x + 2-2 > 32-2
x > 30