Kuta Software - Infinite Algebra 2 Name Systems of Two Equations Date Solve each system by graphing. 1) y=-3x + 4 y= 3x - 2 2) y
2 answers:
Answer:
Solution of the system of equations: (1, 1)
x = 1, y = 1
Explanation:
Given the below system of equations;
Note that the slope-intercept form of the equation of a line is given as;
where m = slope of the line
b = y-intercept of the line
Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.
Knowing the above information, let's go ahead and graph the system of equations;
From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.
Answer:
1 - (1,1)
2 - (-35,-33)
View the attached for the graphs from Desmos.
Step-by-step explanation:
Finding the system of equations means finding the point where they intersect. Use a graphing calculator such as Desmos to find the system of equations.
Problem 1
y=-3x+4: Slope is -3 and y-intercept is 4.
y=3x-2: Slope is -3 and y-intercept is 4.
(1,1)
Problem 2.
y=x+2: Slope is 1 and y-intercept is 2.
x=-35: Slope is undefined and x-intercept is -35.
(-35,-33)
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Given:
A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.
The distance between plan and mountain is 10 km.
A short time later, the bearing to the mountain becomes 45°.
Here NM is the distance between the plane from the mountain when the second bearing is taken.
We need to find the measure of NM.
The sum of the supplementary angles is 180 degrees.
We know that the sum of all three angles of the triangle is 180 degrees.
Consider the sine law.
Take the equation to find the measure of NM.
Hence the measure of NM is 8.1 km.
The plane is 8.1 km far from the mountain when the second bearing is taken.
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at brainly.com/question/13205719
