Answer:
x = -4
Step-by-step explanation:
The solution to a "sum and difference" system of equations can be found by adding the equations together.
(x +y) +(x -y) = (-10) +(2)
2x = -8 . . . . . . simplify
x = -4 . . . . . . . divide by 2
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Additional comment
y = -6, though this question did not ask that value.
The coordinate set (0, 0), (2, 1), (4, 2), (6, 3) represents a straight line. Since the first point is (0, 0) the y-intercept is 0. Now, lets solve for the slope (we can use any of the four points to solve).
Slope formula: y2-y1/x2-x1
= 2-1/4-1
= 1/2
Now that we know what the slope is, we can write the equation of the line.
Slope intercept form: y = mx + b (m = slope and b = y-intercept)
y = 1/2x
Lets find the exponential equation for the line.
y = ab²
1 = ab²
1/a = ab²/a
1/a = b²
√1/a = √b²
√1/a = b
<em>A graph of the coordinates will be below.</em>
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Best of Luck!
It would be c. 12 inches
H = V/lw
The Length * Width = 450
and the volume is 5400
So 5400/450 = 12
Hope that helps!
Answer:
Step-by-step explanation:
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
