The answer to the problem is 21x^2
The equation of a line that passes through the point (-1,-4) and has a gradient of 2 is y = 2x - 2
<h3>How to find equation of a line?</h3>
The equation of a line can be represented as follows:
y = mx + b
where
- m = slope or gradient
- b = y-intercept
Therefore,
m = 2
y = 2x + b
-4 = 2(-1) + b
-4 + 2 = b
b = - 2
Therefore,
y = 2x - 2
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(1) 3x+2y=12
(2) -4x+6y=24
Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2
Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24
Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
-13x+36=24
-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13
Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13
x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13
Answer: The value of -x+2y is 108/13
Answer:
90°
Step-by-step explanation:
Since, all sides of the given quadrilateral are equal. Therefore it is rhombus.
Diagonals of a rhombus bisects at right angles.
So, x = 90°
Answer:
Y=2x-3/4
Step-by-step explanation:
1) put all the information you have in Y=mx+b form
2) y=2x-3/4
2 is the slope and -3/4 is the y intercept