Answer:
Answer A represents this
x <= -3 ; x > 9
Step-by-step explanation:
Isolate x on each of the inequalities:
4 x + 4 <= - 8
subtract 4 from both sides
4 x <= - 12
divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)
x <= -3
This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.
The other inequality:
11 x - 11 > 88
add 11 to both sides
11 x > 99
divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)
x > 9
This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.
X=4
Y=-0.5
Do you need an explanation?
Answer:
B. 31.62
Step-by-step explanation:
First, find the distance of the line using the distance formula, 
. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.
Answer:
<h3>B. The number of people who attended the mathematics conference was more than 225.</h3>
Step-by-step explanation:
Given the inequality m > 225, the inequality means that m is greater than 225. Since the inequality sign does not include equal to sign, then the value of m cannot be less than and equal to 225. The situation that best fits the expression based on the explanation above is "The number of people who attended the mathematics conference was more than 225"
Emphasis should be on 'WAS MORE THAN' according to the statement. The greater sign means that the number of people will always be greater than or more than 225 representing the variable <em>m as the number of people.</em>
68= 4x-2+30 (notice they are vertical angles)
68= 4x+28
40=4x
10=x
68+y= 180 (forms a straight angle)
y=112
Final answer: x=10, y=112
