Find the distance between (16, 0) and (0, 12)
1 answer:
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Answer:
Step-by-step explanation:
First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:
-y₁ + y₂\-x₁ + x₂ = m
Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:
y - y₁ = m(x - x₁)
y - 9 = -8(x + 6)
y - 9 = -8x - 48
+ 9 + 9
______________
y = -8x - 39
__________________________________________________________
y + 7 = -8(x + 4)
y + 7 = -8x - 32
- 7 - 7
______________
y = -8x - 39
** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Answer:
AB = 12 cm
Step-by-step explanation:
We can reduce this problem to the solution of a right angle triangle using the Pythagoras Theorem.
First, draw a line parallel to side AB, and that intersects the radius QB at point "C" (see attached image). Notice that by construction, we have created a right angle triangle PCQ (with right angle at vertex C). This triangle has the legs: PC (which is equal in length to AB), and CQ (of length 7 cm - 2 cm = 5cm). The hypotenuse is PQ which we know by the information they provide is of length 1 cm more than AB: "AB+1".
Now, with this info we write the Pythagorean theorem ( hypotenuse squared = leg1 squared + leg2 squared) and solve for the unknown AB:
Therefore, side AB is 12 cm long
This might help, I hope the work is enough.
