Answer:
k = -4
Step-by-step explanation:
Given system of equations are,
-3x-3y = h
-4x + ky = 10
We have to find the values of h and k such that system of equations has no solution.
The standard form of system of equation in two variables can be given by,
And condition for the system of equations has no solution is given by,
So, by comparing the standard form of equations with given equations, the condition such that system has no solution can be written as,
=> k = -4
and
So, the value of h and k for above given system of equations is
and k = -4.
Let the number of watts =w ‘no more than’ means less than or equal to, thus we will use that sign. The inequality can be written as: w<75
The distance of the ship from the point of the origin can be determined through the trigonometric functions derived from the given distances and the angle.
If we are to draw the ship with the distances traveled in the Cartesian plane, the abscissa (x-coordinate) and the ordinate (y-coordinate) can be determined as follow:
In the second part of the journey, the angle between the x-axis and the ship should be 90-25° = 65°
x-coordinate = y(cos 65°) = 0.4226y
2nd part of y-coordinate = y(sin 65°) = 0.906y
The first part of the y-coordinate is given to be x.
Thus, the expression that can be used to determine the ship's distance from the original point is,
<em> d = sqrt ((0.4226y)² + (x+0.906y)²)</em>
Answer: Actual answer is 10x sq root 30
Step-by-step explanation: Factor 4 out of 12 first. sq root 5 (2 sq root 3x) sq root 50
Rewrite using commutative property
2 times sq root 5x sq root 3x sq root 50
use power rule a^ma^n=a^m+n to combine