Answer:
#7 is congruent
#8 is not congruent
Step-by-step explanation:
#7 is congruent because of the angle angle side triangle congruency theorem.
#8 is not congruent because it’s properties don’t match with any of the triangle congruency theorems.
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
Take some you time to focus on yourself, do calming activities wether it’s a walk, puzzle, or anything along those lines
Answer:
Mr Ronaldo paid $4,932 in income tax
Step-by-step explanation:
In this question, we are asked to calculate the amount Mr Ronaldo pays in income tax
To calculate this, we need to calculate 9% of his annual earnings
His income tax = 9/100 * 54,800
Income tax = $4,932
Answer:m=p/x - n, n=p/x-m
Step-by-step explanation: I hope this is what you are looking for.
