Small is the blank which is th answer
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Answer:
42 cm²
Step-by-step explanation:
The attachment shows a couple of ways the figure can be considered.
a) Left and Right rectangles that are 5 cm high and 3 cm wide, together with a central rectangle that is 3 cm high and 4 cm wide. Then the total area is ...
5×3 + 3×4 + 5×3 = 15 + 12 + 15 = 42 . . . . cm²
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b) An enclosing rectangle that is 5 cm high and 10 cm wide with a cut-out that is 2 cm high and 4 cm wide. Then the total area is ...
5×10 -2×4 = 50 -8 = 42 . . . . cm²
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The area of the irregular figure is 42 cm².
Answer:439.2$
Step-by-step explanation:
So first there are 52 people who use the cleaning service right? therefore lets do 52 people times the amount paid each month 12.20$ = 634.4$
16 members in the first week times 12.20 = 195.2$
so then subtract 634.4-195.2= your answer of 439.2 $ were collected the second week
Answer:
7 = 49 ÷ r
Step-by-step explanation:
To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...
Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:
7 = 49 ÷ r
To prove this, input r = 7 into each of the equations:
6 = 30 ÷ r
⇒ 6 = 30 ÷ 7
⇒ 6 ≠ 4.285... ← incorrect!
7 = 54 ÷ r
⇒ 7 = 54 ÷ 7
⇒ 7 ≠ 7.714... ← incorrect!
7 = 49 ÷ r
⇒ 7 = 49 ÷ 7
⇒ 7 = 7 ← correct!
9 = 72 ÷ r
⇒ 9 = 72 ÷ 7
⇒ 9 ≠ 10.285... ← incorrect!
Answer:
1) The parabola equation faces up
2) The y-intercept = a·b
3) The zeros are x = a and x = b
Step-by-step explanation:
1) The given information are;
f(x) = (x - a)·(x - b) which gives;
f(x) = x² - (b+a)·x + a·b
For an equation of the form a·x² - b·x + c, if a is positive, then the parabola faces up, therefore, the parabola equation, x² - (b+a)·x + ab where a is equivalent to +1 faces up
2) The y-intercept is given at x = 0, which gives;
f(0) = 0² - (b+a)·0 + a·b
The y-intercept = a·b
3) From f(x) = (x - a)·(x - b), when f(x) = 0, we have either;
(x - a) = 0 or (x - b) = 0
Therefore;
The zeros are x = a and x = b