<u>Answer:</u>
The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5
<u>Solution:</u>
Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.
Answering 15 questions correctly will give you a grade of 75 what is the.
We have to find what is the Constant of variation.
Now, according to the given information, grade number of correct answer
Then, grade = c x number of correct answers, where c is constant of variation.
Now, substitute grade = 75 and number of correct answers = 15
Hence, the constant of variation is 5
Step 1: Simplify both sides of the equation.
2
−
3
(
2
x
−
1
)
=
−
6
x
+
5
2
+
(
−
3
)
(
2
x
)
+
(
−
3
)
(
−
1
)
=
−
6
x
+
5
(Distribute)
2
+
−
6
x
+
3
=
−
6
x
+
5
(
−
6
x
)
+
(
2
+
3
)
=
−
6
x
+
5
(Combine Like Terms)
−
6
x
+
5
=
−
6
x
+
5
−
6
x
+
5
=
−
6
x
+
5
Step 2: Add 6x to both sides.
−
6
x
+
5
+
6
x
=
−
6
x
+
5
+
6
x
5
=
5
Step 3: Subtract 5 from both sides.
5
−
5
=
5
−
5
0
=
0
<h3>
Answer: D) Cannot be determined</h3>
Explanation:
Choice A isn't the answer because we don't know anything about the angles, so we can't use the AA (angle angle) Similarity theorem.
Choice B isn't the answer because we don't have info about all three pairs of sides (we only have two pairs of sides).
Choice C isn't the answer in a similar way choice A isn't either. We don't know anything about the angles, so we can't use the "A" in "SAS".
Choice D is the only thing left. It turns out we don't have enough info to be able to determine if the triangles are similar or not.
The answer is b because the slope is rise over run it goes up 2 times and right 4 times which are both positive so the answer is 2/4 or 1/2
