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:
y = -2x+5
Step-by-step explanation:
y = -2x+1 is in the form y= mx+b where m is the slope and b is the y intercept
-2 is the slope
Parallel lines have the same slope so our new line will have the same slope
y = -2x+b
The point given is the y intercept (value when x is zero)
b = 5
y = -2x+5
Answer:it is 14 hun.
Step-by-step explanation:
Answer:
x = −3 and x = −2
Step-by-step explanation:
x^2 + 5x = −6
Add 6 to each side
x^2 + 5x+6 = −6+6
x^2 +5x+6 =0
Factor
What 2 number multiply to 6 and add to 5
3*2 =6
3+2 =5
(x+3)(x+2) =0
Using the zero product property
x+3 =0 x+2 =0
x+3-3=0-3 x+2-2=0-2
x=-3 x=-2
Answer:
The answer to your question is letter B
Step-by-step explanation:
Data
length = 12 in
width = 8 in
height = 16 in
surface area = ?
Formula
Surface area = 2( length x width) + 2(length x height) + 2((width x height)
Substitution
Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)
Simplification
Surface area = 256 + 384 + 102
Result
Surface area = 832 in²
