We have that
<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57
using a graph tool
see the attached figure
the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2
the answer is the option <span>
b. (square root of 2)/2</span>
Range: the set of all y-values of a graph or equation.
Y-intercept: the y-value where the graph intersects the y-axis.
Domain: the set of all x-values of a graph or equation.
X-intercept: the x-values where the graph intersects the x-axis.
Hope this helps! :)
Answer:
Step-by-step explanation:
5(x-3y)+2(4x+y)-(x+y)
5x-15y+8x+2y-x-y
5x+8x-x-15y+2y-y
13x-x-13y-y
12x-12y
<span>
<u><em>Answer:</em></u>either y = 4.5
or y = -4.5
<u><em>Explanation:</em></u>To get the solution, we will need to isolate the y on one side of the equation.
<u>This can be done as follows:</u>
4y</span>²<span> = 81
</span>

<span>
y</span>²<span> = 20.25
y = +/- </span>√(20.25)<span>
either y = +</span>√<span>(20.25) = 4.5
or y = -</span>√<span>(20.25) = -4.5
Since there are no restrictions on the value of y, therefore, both answers would be accepted
Hope this helps :)</span>