Write an equation that would have the restriction x ≠ -3.
1 answer:
Answer:
Here, the condition is x ≠ -3
Therefore, we'll compute an equation under which x being 3 will not possible in order to evaluate the equation.
One of such equation is :
With the condition that x ≠ -3, because then the denominator will become ∞ and hence we won't be able to evaluate the equation.
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Answer:
Option: D is the correct answer.
D) –2x + y ≥ 4
x + y < 2
Step-by-step explanation:
We are asked to find the linear inequality that represents the following graph.
Clearly from the graph we could observe that one line is dotted and the other is solid line.
i.e. one inequality is strict while the other is a inequality with equality sign.
<u>Dashed line:</u>
It passes through (0,2) and (2,0).
Hence, the equation of line is:
As the shaded region is towards the origin.
Hence, the inequality will be:
x+y<2.
<u>Solid line:</u>
The line passes through (-2,0) and (0,4).
hence equation of line is:
i.e
Now, as the shaded region is away from the origin hence the inequality which will be used is:
Hence, option: D is the correct answer.
D. –2x + y ≥ 4
x + y < 2
Answer:
Diameter: 10.8 cm
Circumference (in terms of π): 10.8π cm
Circumference (approximate): 33.91 cm
Step-by-step explanation:
Hi there!
<u>We're given:</u>
- The radius (5.4 cm)
<u>1) Determine the diameter</u>
Multiply the radius 5.4 cm by 2
5.4 × 2 = 10.8
Therefore, the diameter of the circle is 10.8 cm.
<u>2) Determine the circumference of the circle</u>
Plug in the diameter 10.8
Therefore, the circumference of the circle in terms of π is 10.8π cm.
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<u>3) Determine the approximate circumference of the circle </u>
Therefore, the approximate circumference of the circle is 33.91 cm.
I hope this helps!