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tekilochka [14]
3 years ago
13

Which number is closest to √(80)?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

9

Step-by-step explanation:

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Which graph represents the solution set of the system of inequalities? {x+y<12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

===========================================

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
3 years ago
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Give the value of x .<br><br> A. 60 degrees<br> B. 180 degrees<br> C. 120 degrees<br> D. 45 degrees
Harrizon [31]

Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

\alpha

60 + 60 +  \alpha  = 180 \\  \alpha  = 180 - 60 - 60 \\  \alpha  = 60 \\

\alpha  + x = 180 \\ x = 180 -  \alpha  \\ x = 180 - 60 \\ x = 120

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2 years ago
A yo-yo rotates 12 times every
kumpel [21]

Answer:

Step-by-step explanation:

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Travka [436]

Answer:

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Step-by-step explanation:

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3 years ago
Error 404.<br> Error 404.
Kitty [74]

Answer:

Error 404

Error 404

Error 404

Step-by-step explanation:

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