Answer:
5
Step-by-step explanation:
Answer: it is a reflection across the x-axis sorry if I responded late
Answer:
Hope this helps
Step-by-step explanation:
a) x^2 + 3x = x(x+3)
b) 2x^2 - 8x = 2x(x - 4)
c) 6x + 9x^3 = 3x(2 + 3x^2)
d) 12x^3 - 4x^2 = 4x^2(3x - 1)
Answer:
x = 10
Step-by-step explanation:
To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.
Thus:
(x + 5)×12 = x × 18
Solve for x
12x + 60 = 18x
Subtract 12x from each side
12x + 60 - 12x = 18x - 12x
60 = 6x
Divide both sides by 6
60/6 = 6x/6
10 = x
x = 10
<h3>
Answer: 414 square yards</h3>
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Explanation:
Surround the entire figure in a bounding rectangle as shown below.
This surrounding rectangle is 23 by 27. It's total area is 23*27 = 621 square yards.
For a moment, let's ignore the 3x3 section marked in the dashed lines. The empty space in the bottom left corner is 15+3 = 18 by 9+3 = 12. Its area is 18*12 = 216 square yards. Accounting for the dash line 3x3 section means we subtract 9 from the 216 to get 216-9 = 207. The empty space takes up 207 square yards.
So the purple region must take up 621-207 = 414 square yards