Please help with problem and show work
1 answer:
Answer:
x = 7
Step-by-step explanation:
The image below shows the relationship between secants chords and tangents.
Imagine that the letters in the image represent the numbers in the actually problem
E would equal 9
C would equal 12
and A would equal x
We would then use the same formula C² = E * ( E + A ) to solve for x , but once again instead of using letters we use the numbers in the problem
We would have 12² = 9( 9 + x )
we now solve for x
Step 1 simplify and distribute
12²=144
9 * 9 = 81
9 * x = 9x
we would then have 144 = 81 + 9x
step 2 subtract 81 from each side
144 - 81 = 63
81 - 81 cancels out
we now have 63 = 9x
step 3 divide each side by 9
63 / 9 = 7
9x / 9 = x
we're left with x = 7
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<u>Answer:</u>
D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11
<u>Step-by-step explanation:</u>
We are given the following two expressions:
and
Now if we look at the option D) and
, we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.
and the later part is already the same.
Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11.