Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = 
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = 
a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = (
) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
Answer:
5x + 10y = 90
Step-by-step explanation:
X is the number of times she takes the 5 mile, so the total distance would be 5x. Y is the number of times she takes the 10 mile, so the total distance would be 10y. And together they equal 90 miles, so 5x + 10y =90. Hope this helps.
Answer:
17/3 = 5 2/3
Step-by-step explanation:
3 goes into 17 5 times, the remaining numbers are 2.
Answer:
the side of a square is 45 m
Step-by-step explanation:
The computation of the side of the square field that contains the similar area as compared with rhombus is given below:
As we know that
Area of rhombus = Base × Altitude
= 81 × 25
= 2025
And, area of Square = Side × side
2025 = side^2
side = √2025
= 45m
Hence, the side of a square is 45 m
