Answer:
The length of side AC is 5 units.
The areas of triangle ABC is 10 square units.
Step-by-step explanation:
From point A (1,3) to point C (1,-2) is 5 units
To check this:
3 - (-2) = 3 + 2 =5
We're subtracting since the point went down (from positive 3 to negative 2)
Now for the area:
Area formula for a triangle: 
bh = ⋅b⋅h
We already found the height (length) : 5
The base is from point C (1,-2) to point B (5,-2), which is 4 units
To check this:
5 - 1 = 4
Now that we have found the base and height, Let's solve:
⋅4⋅5 = ⋅20 = 10
Our area is 10 square units.
Hope that helps :)
Given that the subway stations are 930 m apart, the train have to be accerelated for half the distance and then decerelated for the rest of the distance.
Recall that the distance travelled by an object with an initial velocity, u, for a period of time, t, at an accereration, a, is given by
But, we assume that the train accelerates from rest, thus
The maximum speed is attained at half the center of the distance between subway stations (i.e. at distance = 465 m).
Thus, maximum speed = distance / time = 465 / 23.12 = 20.11 m/s.
I think it’s v=-20 i showed you my work if that helps :)
Answer:
An origination fee is typically 0.5% to 1% of the loan amount and is charged by a lender as compensation for processing a loan application. Origination fees are sometimes negotiable, but reducing them or avoiding them usually means paying a higher interest rate over the life of the loan
Step-by-step explanation:
Answer: y= 5/2(x-2)^2 - 1
Step-by-step explanation:
y=a(x-2)^2 - 5
5=a(0-2)^2 - 5
10=a(-2)^2
10=a4
a=10/4 or 5/2
