Hi, you've asked an incomplete question. I attached the missing caption that completes the question.
Explanation:
By looking closely at the caption we notice there are measuring coordinates along the margin of the caption. To find the middle of the chairs, take note of the total coordinate distances between points C and D;
- For the vertical axis, the distance is 4
- For the horizontal axis, the distance is 2
Substracting both differences in distances we get 2 (4-2) so at point (10, 7) we find the middle or halfway between the chairs at points C and D.
Answer:
B. The limits Lim x-->7 (x²-9x+14)/x-7 and lim x--> 7 (x-2) equals the same number when evaluated using direct substitution. The limit of both functions is 5
Step-by-step explanation:
Find the complete question in the attachment.
Given the limit of the functions
Lim x-->7 (x²-9x+14)/x-7
To solve this, we will need to factorize the quadratic function at the numerator first.
x²-9x+14
= x²-2x-7x+14
= x(x-2)-7(x-2)
= (x-7)(x-2)
The expression therefore becomes:
= lim x-->7 (x-7)(x-2)/x-7
= lim x-->7 (x-2)
Now substitute the value of x into the simplified function
lim x-->7 (x-2) = 7-2
lim x-->7 (x-2) = 5
Hence Lim x-->7 (x²-9x+14)/x-7 = 5
From the calculation above, it can be seen that Lim x-->7 (x²-9x+14)/x-7 = lim x--> 7 (x-2) = 5
Hence the correct answer based on the explanation above is B.
The limits Lim x-->7 (x²-9x+14)/x-7 and lim x--> 7 (x-2) equals the same number when evaluated using direct substitution.
Answer:
5. x = 17
7. x = 2
Step-by-step explanation:
The applicable relation is, "the product of the near distance to the circle and the far distance to the circle is the same for each secant." Distance is measured from the point where the secants intersect.
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<h3>5.</h3>
Using the rule, we have ...
7(7+x) = 8(8+13)
7+x = 24 . . . . . . . . . divide by 7
x = 17 . . . . . . . . . . subtract 7
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<h3>7.</h3>
The same rule applies.
7(7 +6x -1) = 9(9 +x +3)
42x +42 = 9x +108 . . . . . . simplify
33x = 66 . . . . . . . . . . . . . subtract 9x+42
x = 2 . . . . . . . . . . . . . . divide by 33
I'm pretty sure the answer is D. 6x + 5. I hope this helps.
