Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:


Where,



Plug in the necessary values to find the coordinates of K:










The coordinates of K = (8, 4)
Answer:
you simply think of a number that when multiplied by itself it will give you that whole number
Step-by-step explanation:
let's take for instance the number 4 it's a whole number and still a perfect square because when you think of a number from 1to 10, which number when you multiply by itself will give you four apart from 2
Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
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<h3>setup</h3>
The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
<h3>solution</h3>
Multiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.
If the slope is 6/11 then, in y=mx+b form, m will be 6/11. When you multiply 6/11 and -1 you get -6/11. To get the y (-6), you have to add -60/11. So in, y=mx+b form the equation is y=6/11x+(-60/11). To make it standard form, you add negative 6/11x to both sides and then multiply by 11 to get rid of the fractions. So therefore the equation would be:
-6x + 11y = - 60