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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Step-by-step explanation:
a. Area of a circle = πr², where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = diameter.
Step 2: substitute radius into the formula.
Area of a circle = π(d)²
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
Area of a circle = 3.14(d)²
Step 4: substitute d into the formula, then we can solve its area.
b. a. Circumference of a circle = 2πr, where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = diameter.
Step 2: substitute radius into the formula.
C = 2π(d)
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
C = 2(3.14)(d)
Step 4: substitute d into the formula, then we can solve its circumference.