Answer:
It would take 1 more mile if he took route Street A and then Street B rather than just Street C.
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We use the Pythagorean Theorem to find the length of Street C:
2² + 1.5² = c²
c = √6.25
c = 2.5
Now we find how much longer route A and B is compared to C:
3.5 - (2 + 1.5) = 3.5 - 2.5 = 1
Answer:
x=4
Step-by-step explanation:
2x=8
÷2
x=4
if you want a fraction then 4/1 which is the same thing as saying 4
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P
1 + 
=> A = 100 x ( 1 +
)^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)
The vertex-form of the equation of a parabola is

,
where (h, k) is the vertex point.
We are given that 9 is the maximum point, and that the axis of symmetry is the line x=-5.
The axis of symmetry passes through the vertex, so the x-coordinate of the vertex is -5. The maximum height is 9 means that the y-coordinate of the vertex is 9.
So: (h, k)=(-5, 9).
Substituting in the vertex-form, now we have:

.
We also know that (-7, 1) is a point of the parabola, so this point is an (x, y) which satisfies the equation. That is:

Now we have all the constants h, k and a, so we are able to write the equation:

.
Answer:

.