Let <em>a</em> and <em>b</em> be the two numbers. Then
<em>a</em> + <em>b</em> = -4
<em>a b</em> = -2
Solve the second equation for <em>b</em> :
<em>b</em> = -2/<em>a</em>
Substitute this into the first equation:
<em>a</em> - 2/<em>a</em> = -4
Multiply both sides by <em>a</em> :
<em>a</em>² - 2 = -4<em>a</em>
Move 4<em>a</em> to the left side:
<em>a</em>² + 4<em>a</em> - 2 = 0
Use the quadratic formula to solve for <em>a</em> :
<em>a</em> = (-4 ± √(4² - 4(-2))) / 2
<em>a</em> = -2 ± √6
If <em>a</em> = -2 + √6, then
-2 + √6 + <em>b</em> = -4
<em>b</em> = -2 - √6
In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.
Answer:
slope = 2
Step-by-step explanation:
To find the slope, we need to read 2 points off the graph.
Where the line crosses the y-axis, the point is (0, 2.5).
The next point up on the line looks like (1, 4.5).
slope = m = (difference in y)/(difference in x)
To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.
difference in y = 4.5 - 2.5 = 2
difference in x = 1 - 0
slope = m = (difference in y)/(difference in x) = 2/1 = 2
Answer:
Step-by-step explanation:
i think last and first one..
From the figure. a and b are equal because the lines are parallel. The jargon is alternate interior angles are equal.
The two remote interior angles are equal to the exterior angle. That interprets to
b + 2a = 84o But b = a
a + 2a = 84o
3a = 84
a = 84/3
a = 28 <<<< answer
b = 28 <<<< answer
2a = 56 <<<< answer.
