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.
Problem 9.
Using the Angle Addition Postulate,
m<QRS + m<SRT = m<QRT
Now we replace the measures of the three angles above with the value or expressions we are given, and we solve for x.
2x + 8 + 3x + 14 = 82
5x + 22 = 82
5x = 60
x = 12
m<QRS = 2x + 8 = 2(12) + 8 = 24 + 8 = 32
Answer: 32 degrees
Problem 10.
Using the Angle Addition Postulate,
m<ABC + m<CBD = m<ABD
Now we replace the measures of the two angles above with the values we are given, and solve for the unknown angle.
115 + m<CBD = 180
m<CBD = 180 - 115
m<CBD = 65
Answer: m<CBD = 65 degrees
Answer:
y=x-5 slope=1 y-intercept=-5
Step-by-step explanation:
Answer:
the difference of this math problem is 21,040
Answer:
Your answer is D.
36x2-25 is equivalent to (6x)2-(5)2
Step-by-step explanation:
Simple solution: Put each equation into a graphing calculator and look at the tables, they are exactly the same.