So first we solve and simplify
pemdas
first parenthasees
9-4(x-y)=-6x+6
distribute using distributeive property of multiplication which is a(b+c)=(ab)+(ac)
so -4(x-y)=-4x+4y
9-4x+4y=-6x+6
add 6x to both sides
9+2x+4y=6
subtract 9 from both sides
2x+4y=-3
only B matches this
B is the correct answer
(I don't know what standard form is but I know what simplified is)
Answer:Hope This Helps ☺️
Step-by-step explanation:
She is not correct because she did not substitute the same number in both expressions in Step 1
Step-by-step explanation:
CASE 1: substitute 1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3
R.H.S
-2x - 5
-2(1) - 5 = -2-5 = -7
Hence for x= 1
-(4x-5)+2(x-3) ≠ -2x -5
Because -3 ≠ -7
CASE 2: substitute -1 for x to both sides of the equations
L.H.S
-(4x-5)+2(x-3)
-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1
R.H.S
-2x - 5
-2(-1) - 5 = 2-5 = -3
Hence for x= -1
-(4x-5)+2(x-3) ≠ -2x -5
Because 1 ≠ -3
Answer:
She is not correct because she did not substitute the same number in both expressions in Step 1
Answer:
-120-x
Step-by-step explanation:
Given:
This is the same as previous one. Recall modulus property:
Keep in mind that |x+a| and |a+x| are equal via addition property.
Since the question gives interval of x < -120:
Therefore, the expression is -120-x
We conclude that the linear equation perpendicular to y = x/4 - 1 and that passes through (-4, 5) is y = -4*x - 11
<h3>How to find the perpendicular line?</h3>
A general linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two lines are perpendicular if the slope of one line is equal to the inverse of the opposite of the other slope.
So, if we have:
y = x/4 - 1
The slope is a = (1/4)
The inverse of the opposite is:
a' = -4
Then the perpendicular line is of the form:
y = -4*x + c
Now we want this to pass through the point (-4, 5), then we must have:
5 = -4*-4 + c
5 = 16 + c
5 - 16 = c = -11
We conclude that the linear equation perpendicular to y = x/4 - 1 and that passes through (-4, 5) is y = -4*x - 11
If you want to learn more about linear equations:
brainly.com/question/1884491
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