Equation 1) y = -2x - 6
Equation 2) y = x + 9
Move equations around, by moving the (x)s to the left side of the equation so that x and y are on the same side.
To do so, add 2x to both sides in equation 1, and subtract x from both sides in equation 2.
1) 2x + y = 6
2) -x + y = 9
Subtract equations from each other.
3x = -3
Divide both sides by 3.
x = -1
Plug in -1 for x in first equation.
y = -2x - 6
y = -2(-1) - 6
Simplify.
y = 2 - 6
y = -4
(-1, -4) ==> x = -1, y = -4
~Hope I helped!~
Answer:
Answer B
Step-by-step explanation:
Since you're <em>dividing</em> -0.3 by -2.5, you are using the division property of equality.
Answer:
C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97
Step-by-step explanation:
The given data is
x` Std. Dev
R. disagrees 4.16 0.854
P. disagrees 3.82 0.967
From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854
while
the P. disagrees has a mean of 3.82 and standard deviation of 0.967.
Same figures are given only in option C because
Rounding 0.854 gives 0.85
Rounding 0.967 gives 0.97
So only option C is the best choice.
C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97
Answer:
a) Parallel when a = -2/3
b) Perpendicular when a = 6
Explanation:
a) For two parallel lines slopes are equal.
So, 6y=−2x+4 and 2y=ax−5 parallel if they are slopes equal.
Slope of 6y=−2x+4, comparing with y = mx + c
So, m = -2/6 = =-1/3
For 6y=−2x+4 and 2y=ax−5 to b parallel we have slope of 2y=ax−5 equal to -1/3
Slope of 2y=ax−5
m = a/2
We have a/2 = -1/3
a = -2/3
b) For perpendicular lines product of slope is -1.
So we have
