Answer:
First option:
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can observe that:
1. Both lines have the same y-intercept:
2. The lines are solid, then the symbol of the inequality must be or .
3. Since both shaded regions are below the solid lines, the symbol is:
Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:
9. Area of a triangle is proportional to height. If the height increases by a factor of 4, then ...
The area will increase by a factor of 4. . . . . (2nd selection)
10. The base lengths and height are needed:
• 5 mm
• 8 mm
• 10 mm
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571