23.
1 answer:
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Answer:
Let us consider the expression:
(1)
Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign
And adding if powers are with opposite sign.
We will solve equation (1) by this quotient of power rule.
So, it can be rewritten as:
.
<u>Given</u>:
The given circle with center at C. The lines AB and AD are tangents to the circle C.
The length of AB is (3x + 10)
The length of AD is (7x - 6)
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".
We shall determine the value of x using the above property.
Thus, we have;
AB = AD
Substituting the values, we get;
Subtracting both sides of the equation by 7x, we get;
Subtracting both sides of the equation by 10, we get;
Dividing both sides of the equation by -4, we get;
Thus, the value of x is 4.