Answer:
- 2((4a +1) +8) cm
- 8a +18 cm
- 8a +18 = 42
Step-by-step explanation:
For the first line, you are copying the dimensions from the figure to the blanks. The dimensions on the figure are (4a +1), and (8), both in centimeters. When you have filled in that line, it will read ...
2((4a +1) +8) cm
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For the second line, you must collect terms and use the distributive property to eliminate parentheses from the above expression.
2((4a +1) +8) cm = 2(4a +9) cm = 2(4a) +2(9) cm
= 8a +18 cm
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The third line simply sets this expression equal to the given perimeter, 42:
8a +18 = 42
_____
<em>Additional comment</em>
To solve this equation, you can subtract 18 from both sides:
8a +18 -18 = 42 -18
8a = 24 . . . . . . . . . . . simplify
Then divide both sides by 8.
8a/8 = 24/8
a = 3
Finally, the length of the rectangle is ...
4a +1 = 4(3) +1 = 12 +1 = 13
The rectangle is 13 cm long and 8 cm high. Its perimeter is ...
2(13 +8) = 2(21) = 42 . . . cm
Answer:
<em>The south celestial pole is the point in the sky directly above Earth's southern axis. It's the point around which the entire southern sky appears to turn. The height of the south celestial pole in your sky depends on your latitude.</em>
Step-by-step explanation:
The equation y = x + 8 uses the slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case
y = 1x + 8
m = 1
y = x + 8
b = 8 OR y-intercept of this line is (0, 8)
You can plot the point (0, 8) on a graph. Then to find the next point you will rise up 1 and over right 1 (this is the slope). You can find another point after that by going down one and left one from the point (0, 8)
The graph should look like the one in the image below
Hope this helped! Let me know if you have any further questions
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
Independent Variable (IV): Special college preparation program
How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.
Dependent variables (DV): Math placement scores of college applicants
How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.
Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).
Hypothesis:
If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.
