Answer:
32.7
Step-by-step explanation:
Using the Pythagorean theorem, we can set an equation to 5^2+c^2=14^2,
which is equal to 196-25 = c^2, which is equal to c^2=171, therefore, c=
5*/2=32.69, rounded will equal to 32.7
We are given with the data of a parabola with vertex at (2, 2) and directrix at <span>y = 2.5. the formua should be ax^2 + b x + c = y because of the directrix.
(x-h)^2 = 4a (y-k)
(x-2)^2 =4a (y-2)
a is the equidistant distance from focus to vertex and from vertex to directrix that is equal to -0.5
then the answer is
</span>(x-2)^2 =-0.5*4 (y-2)
<span>x2 - 4x + 4 = -2y +4
x2-4x+2y = 0
answer is C
</span>
Answer:
A.
Step-by-step explanation:
Get two points:
(0, 3) and (-6, 0)
Slope = 0.5
y = 0.5x + 3
Answer: 1 van can hold 18 people, and 1 bus can hold 53 people.
What we know: Class A rented 2 filled vans and 7 buses with 407 students.
Class B rented and filled 1 van and 7 buses with 389 students.
What we need to know: How many students can a van carry? How many students can a bus carry?
Equation A: 2v + 7b = 407
Equation B: 1v + 7b = 389
Variables used: v = amount of people that can fill a van and b = amount of people that can fill a bus
This is quite a simple equation, because we know that class A used 1 more van than Class B, and the question says that each vehicle was full. So, all you have to do it subtract 389 from 407 to get 18. That means that 1 can can hold 18 people.
Now you just plug it in to find the value for b, 1(18) + 7b = 389
7b = 371
b = 53
So the amount of people that can fit on a van is 18, and the amount of people that can ft on a bus is 53.
Answer:
155.25 grams
Step-by-step explanation:
40 = X(½^(9/4.6))
X = 40 ÷ (½^(9/4.6))
X = 155.25 grams
