Answer:
one point
Step-by-step explanation:
A system of two linear equations will have one point in the solution set if the slopes of the lines are different.
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When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.
- ratio for first equation: 1/1 = 1
- ratio for second equation: 1/-1 = -1
These lines have <em>different slopes</em>, so there is one solution to the system of equations.
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<em>Additional comment</em>
When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.
y = mx +b . . . . . slope = m
When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.
ax +by = c . . . . . slope = -a/b
As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.
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If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.
Answer:
p >5 or p <-8
Step-by-step explanation:
-6+|2p+3|>7
Add 6 to each side
-6+6+|2p+3|>7+6
|2p+3|>13
We get a positive and negative solution
2p +3 > 13 and 2p +3 < -13
Subtract 3 from each side
2p +3 -3> 13-3 or 2p +3-3 < -13-3
2p > 10 2p < -16
Divide by 2
2p/2 > 10/2 2p/2 <-16/2
p >5 or p <-8
The Answer is 2x + Y - 6 =0
Because the triangles are similar the ratio of all the sides would be the same. So you need to find the ratio of the common sides and then use that ratio to find the unkown side.
In this picture sides FG = 52, FV would be the same side and is 24.
Dividing 24/52 = 0.461, so the unkown side WV would be 0.444 of it's common side HG.
HG = 39
39 * 0.461= 18.
The answer is C. 18
