Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Answer:
3/4
Step-by-step explanation:
sin = opposite/hypotenuse
one side is 3, hypotenuse side is 5.
using the pythagorean theorem, we know that the third side is 4.
tan = opposite/adjacent
tanθ = 3/4
<span>of the task , we know that :
</span>
profit netto = $ 6100
<span>influenza students = 7
</span>hourly rate for one lesson of the French language = $45
<span>we do not know about
</span>
profit brutto = ? <span>denoted as x
</span><span>the amount collected lessons
for one student = ? denoted as y
x = $6100 + $200
</span>
<span>
</span>
<span>
2 away
</span>
<span>
</span>
Remark
Set up the equation from the word problem.
Equation
7*x - x = -48 Combine like terms
6x = - 48 Divide by 6
x = - 48 / 6
x = - 8 <<<<< Answer