Carla and Jonah are working together to determine if quadrilateral CDEF with coordinates C(2, 3), D(1, 2), E(4, 1), and F(5, 3)
has a right angle.
Carla sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment DE equals 1 minus 2 all over 4 minus 1
Jonah sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment EF equals 3 minus 1 all over 5 minus 4 Who is on track to get the correct answer and why?
A.)Carla is on the right track because she is finding the slopes of the opposite sides to check for right angles.
B.)Carla is on the right track because she is finding the slopes of consecutive sides to check for right angles.
C.)Jonah is on the right track because he is finding the slopes of the opposite sides to check for right angles.
D.)Jonah is on the right track because he is finding the slopes of consecutive sides to check for right angles.
Carla sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment DE equals 1 minus 2 all over 4 minus 1
Jonah sets up the following equations: slope of segment CD equals 2 minus 3 all over 1 minus 2 slope of segment EF equals 3 minus 1 all over 5 minus 4 Who is on track to get the correct answer and why?
A.)Carla is on the right track because she is finding the slopes of the opposite sides to check for right angles.
B.)Carla is on the right track because she is finding the slopes of consecutive sides to check for right angles.
C.)Jonah is on the right track because he is finding the slopes of the opposite sides to check for right angles.
D.)Jonah is on the right track because he is finding the slopes of consecutive sides to check for right angles.
2 answers:
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Just use the Pythagorean theorem and then multiply by 2 to find answer. See picture to see how I did it.
Just use the Pythagorean theorem and then multiply by 2 to find answer. See picture to see how I did it.
The rule of reflection over y-axis
(x,y) ⇒⇒⇒ (-x,y)
Note point T will not change
the solution is as shown in attached figure
(x,y) ⇒⇒⇒ (-x,y)
Note point T will not change
the solution is as shown in attached figure
Answer:
Step-by-step explanation:
The formula you will want to use for this is one that allows a certain number of compoundings of the interest per year. This is a specific one for compounding continuously, and there is one for finding simple interest. Here is the one we want:
where A(t) is the amount in the account after the compounding occurs over the number of years specified, P is the initial amount in the account, r is the interest rate in decimal form, n is the number of times per year the compounding occurs, and t is the amount of time the money is in the account in years. For us:
P = 300,
r = .04,
n = 4 (quarterly means 4 times), and
t = 10
Filling in:
and
and
and
A(t) = 300(1.488863734) so
A(t) = $446.66 or $447