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:
See below
Step-by-step explanation:
<u>Taking the readings from the graph</u>
- <u>x .... y</u>
- 0 .... 2
- 2 .... 6
- 4 .... 10
- 6 .... 14
<u>Rate of change for the given line is:</u>
- (6 - 2)/2 = 4/2 = 2
- y- intercept is 2
<u>Equation for the line is:</u>
<u>For the point (40, 76) we can verify with the equation:</u>
The point (40, 76) is close the line but the line doesn't pass through it.
Answer:
Step-by-step explanation:
- 4*3=12
- 12-1=11
- so 4*3 remander 1= 11r
Since the perimeter of said hexagon is 120√3, we simply multiply this number by 10 and divide it by 2.
1200√3/2 = 600√3
<h3>
Answer: Choice A) 29.5 </h3>
This value is approximate.
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Work Shown:
First we need to find angle C
A+B+C = 180
46+73+C = 180
119+C = 180
C = 180 - 119
C = 61
This is not the final answer, so answer choice B is likely a trick/trap answer.
We'll use this angle value to help find side c. Use the law of sines
c/sin(C) = b/sin(B)
c/sin(61) = (32.3)/sin(73)
c = sin(61)*(32.3)/sin(73)
c = 29.5410185554849 which is approximate
c = 29.5 which points us to choice A as the final answer.
