Answer:
Property : a^-b = 1/a^b
Using this property, we can rewrite the expression using positive exponents :
What is 3x-4y=10 on a graph
1 answer:
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Answer:
- 3. line y=x
- 4. 10 units to the right and 4 units up
Step-by-step explanation:
In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.
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You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.
After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.
we have
To find the roots of g(x)
Find the roots of the first term and then find the roots of the second term
Step 1
Find the roots of the first term
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Square root both sides
so the factored form of the first term is
Step 2
Find the roots of the second term
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Remember that
Square root both sides
so the factored form of the second term is
Step 3
Substitute the factored form of the first and second term in g(x)
therefore
the answer is
the roots are