Answer:
<h2>
x² + 9 + 6x </h2>
Step-by-step explanation:
expand and simplify (x+3)²
(x+3)² =
x² + 9 + 2 × x × 3 =
x² + 9 + 6x
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
Answer:
7.14 in. sq
Step-by-step explanation:
First find the area of the square; 2x2=4
Now find the area of the semi-circle; radius = 1.
1 squared= 1 Now multiply by 3.14 which equals 3.14
Now divide by 2 because it's a semi-circle, you get 1.57.
Multiply 1.57 by 2 because you have 2 semi-circles, the would equal 3.14
Add 4+3.14 and you get 7.14
The area of the composite figure is 7.14 in. sq
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