Answer:
148 meters
Step-by-step explanation:
Ally rolls an octahedron-shaped (8-sided) die with the number 1, 2, 3, 4, 5, 6, 7, or 8 on each face. What is the probability of
1 answer:
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Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
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<h3>slope</h3>The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
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<h3>equation</h3>The slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
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<em>Additional comment</em>
When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:
We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.
Therefore, our system now becomes:
Now, we can add these two equations together and solve for y.
Now, we can substitute our value for y into one of the equations and solve for x.
Therefore, our final solution is (-4, 4).