(3x+5)-(5x-7)=-2x-2 (the second expression)
See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
Answer:
The answer to your question is y = -11/2x - 19
Step-by-step explanation:
Data
Point (-4, 3)
⊥ to the line x- intercept of 22 and y-intercept of -4.
Process
1.- Find the equation of the perpendicular line
This line has passes through the points (22, 0) and (0, -4)
Slope = 
2.- Find the slope of the new equation
Slope =
because the lines are perpendicular
3.- Find the equation of the new line
y - 3 = -11/2 (x + 4)
y - 3 = -11/2x - 44/2
y - 3 = -11/2 x - 22
y = -11/2 x - 22 + 3
y = -11/2x - 19
See the graph below
240+140+168+96
380+264
644 cm^2
Answer:
The answer is: "Key in hand" or "Turnkey contract".
Step-by-step explanation:
These are the names that receive the type of projects in which the builder assumes the execution of the work as a whole, from the phase of basic engineering, detail, management of purchases and subcontracts, purchase of materials and equipment to the supervision of the Work and setup. The client receives the facility ready to be used, just as when you buy a new car and you receive the key to take it out from the dealership.