Answer:
<h2>-22 and -20</h2>Step-by-step explanation:
Slope of line -3,7 3,15
1 answer:
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For this case we must solve the following inequality:
Adding 4 in the parts of the inequality we have:
Dividing between 2 each part of the inequality:
Answer:
<u>Given</u>:
The lengths PQ = 4x + 2, QR = 7x – 19, and QU = 34
We need to determine the value of ST.
<u>Value of x:</u>
By two tangent theorem, we have;
PQ = QR
Substituting the values, we get;
Thus, the value of x is 7.
<u>Length of PQ and QR:</u>
Substituting x = 7 in the expressions of PQ and QR, we get the lengths.
Length of PQ =
Length of QR =
<u>Radius of the circle:</u>
The radius of the circle PU can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we get;
Thus, the radius of the circle is 16.
<u>Length of ST:</u>
The length of ST is
Substituting SU = UT = 16 because the radius of the circle is 16.
Thus, we have;
Thus, the length of ST is 32.