1 answer:
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Answer:
T = (3,16)
Step-by-step explanation:
The midpoint formula is just another version of the pythagorean theorem, and it states that the midpoint between (x1,y1) and (x2,y2) is
Substituting what we know:
endpoint S is (3,2) and endpoint T is (x2,y2)
Midpoint Z is (3,9). We will apply the formula -- backwards.
, solving with algebra we get x2 = 3
So the x-coordinate of endpoint T is 3.
, solving with algebra, we get y2 = 16.
So the y-coordinate of endpoint T is 16.
So the location of endpoint T is (3,16)
Answer:
The student made a mistake in step 4
The length of the radius should be 6 cm
Step-by-step explanation:
Let us write each step to find the radius of a circle from its circumference
Step 1:
∵ C = 2πr
∵ C = 12π
Step 2:
Equate 12π by 2πr
∴ 12π = 2πr
Step 3:
Divide both sides by 2π
∵
Step 4:
∴ 6 = r
∴ The radius of the circle is 6 cm
The student mad a mistake he divided the left hand side by 2π and the right hand side by 2 only he left π with r
Step 4:
∴ 6 = πr
So he divided both sides again by π
Step 5:
∵
Step 7:
∴ = r
The student made a mistake in step 4
The length of the radius should be 6 cm