The solution of a system, in graphic terms, is where the lines intersect. Ordered pairs follow this form (x,y). Note that all x values are on the horizontal line (think of running when you think of x) and all y values are on the vertical line (think of jumping when you think of y).
According to the graph, y is 0 since the inserect is directly on the x-axis. So (-,0). Cross out A and C because these answer choices do not have '0' as their y-value. This leaves (1/2,0) or (1/3,0). The answer that seems most likely is D. 0.5 (1/2) is closer to 1, and can rounded to 1, opposed to 0.3 (rounded 1/3) The point of solution seems close to one.
Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
<h3>Pythagorean relation</h3>
The relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
<h3>Application</h3>
For the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
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<em>Additional comment</em>
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.
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To answer the above question, if the store donates 24 soccer balls the number of basketballs does the store donate is <span>28 basketballs</span>
Area of rectangle = length x width (product of the two adjacent sides)
Length of wx = sqrt((3 - 0)^2 + (4 - 1)^2) = sqrt(3^2 + 3^2) = sqrt(18) = 4.24
Length of xy = sqrt((-1 - 3)^2 + (8 - 4)^2) = sqrt((-4)^2 + 4^2) = sqrt(32) = 5.66
Area = 4.24 x 5.66 = 24 square units.