(Taken from a source)
<span>Simplifying
3z + 9 = 0
Reorder the terms:
9 + 3z = 0
Solving
9 + 3z = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 3z = 0 + -9
Combine like terms: 9 + -9 = 0
0 + 3z = 0 + -9
3z = 0 + -9
Combine like terms: 0 + -9 = -9
3z = -9
Divide each side by '3'.
z = -3
Simplifying
z = -3
Hope this helped!
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Step-by-step explanation:
Let x=reams
128+20x=258
Subtract 128 from both sides.
20x=130
Now divide by 20 on both sides to get x alone.
130/20=6.5
So your answer is B! $6.50
Answer:
(a) (–4, –2) U (2, 4)
Step-by-step explanation:
A graph is concave down where its second derivative is negative. That will be where the slope of the first derivative is negative.
Your graph shows the first derivative has negative slope at the left and right ends. The function f(x) will be concave downward on those intervals:
(–4, –2) U (2, 4)
In a coincidental system both equations are the same. I try to transform one equation into the other:
2 x + 3 y = -17 /*6
12 x + 18 y = -102
18 y = -12 x - 102
The radius of the circle with arc length 40cm and central angle is 60 degree is 38.24 cm.
According to the given question.
Arc length of the circle = 40cm
Central angle, θ = 60 degrees
As, we know that the arc length of the circle, s with the radius r and central angle θ by using the formula
s = θ × (π/180)r
Therefore, the radius r of the circle with arc length 40cm and central angle 60 degrees is given by
40 = 60 × (3.14/180) r
⇒ 40/60 = 0.01744r
⇒ 0.66 = 0.01744r
⇒ r = 0.66/0.01744
⇒ r = 38.240
⇒ r = 38.24 cm
Hence, the radius of the circle with arc length 40cm and central angle is 60 degree is 38.24 cm.
Find out more information about arc length and radius of the circle here:
brainly.com/question/1577784
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