For this case, we can use the Intersecting Chord Theorem.
The theorem states that QA * AS is always equal to TA * AR.
Therefore we can write it as:
9 * 4x = 12 * (x + 2)
Performing the operations:
36x = 12x + 24
24x = 24
x=1
Calculating the length of chords QS and TR:
QS = 9 + 4x = 9 + 4 = 13
TR = 12 + (x+2) = 12 + 3 = 15
Therefore the length of the shorter chord is 13.
Answer:
y = (3/5)x + 3
Step-by-step explanation:
You can see immediately that the y-intercept is (0, 3).
As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Starting with the generic y = mx + b, we get y = (3/5)x + 3.
Answer: 15x+2 ice cream cones
Step-by-step explanation: Separate out all of the parts of the polynomials. Add 9x and 6x (9x+6x=15x). Add 14 and -12 (14+-12=14-12=2). Add both of these back together to get 15x+2.
Another example you can use is P:trees provide air, Q: 7 is an odd number. Write pq as a sentence. Then construct a truth table for this conditional. Solution: The conditional pq represents " If trees provide air, then 7 is an odd number." Trees provide air is the hypothesis, and 7 is an odd number is the conclusion. Note that the logical meaning of this conditional statement is not the same as its intuitive meaning. In logic, the conditional is defined to be true unless a true hypothesis leads to a false conclusion.
The implication of pq is that: since trees provide air, this makes 7 an odd number. However, intuitively, we know that this is false because the trees and the number 7have nothing to do with one another! Therefore, the logical conditional allows implications to be true even when the hypothesis and the conclusion have no logical connection
Given that the set of numbers 26, 54, 33, 12, 74, 8, 63
We need to determine the median of the set of numbers.
<u>Median:</u>
The median is the middle value from the set of given numbers.
The median can be determined by arranging the numbers in ascending order and then finding the middle number from the set of numbers.
Let us arrange the set of numbers in ascending order.
Thus, we have;
8, 12, 26, 33, 54, 63, 74
The middle number is 33.
Hence, the median of the set of numbers is 33.
Thus, Option A is the correct answer.
