Answer:
x⁴ - 8x² + 9
Step-by-step explanation:
The Area of the smallest square is A1 = x . x = x²
The Area of the second square is A2 = ( x² - 3 )(x² - 3)
A2 = x⁴ - 3x² - 3x² + 9
A2 = x⁴ - 6x² + 9
The Area of the Shaded shape is A2 - A1
x⁴ - 6x² + 9 - x²
x⁴ - 8x² + 9
Let p and c be the pieces of pie and cake respectively.
We have p+ c= 100 (because the total number of pieces of pie and cake is 100).
On the other hand, we have $4p+ $5c= $473
or 4p+ 5c= 473
p+c=100
4p+5c=473
Solving the set of equations above, we have: p= 27, c=73.
They sold 27 pieces of pie~
Step-by-step explanation:
y = 4x + 3.
Therefore y = 7 + 3x
=> (4x + 3) = 7 + 3x
=> x = 4.
y = 4(4) + 3 = 19.
The solution pair is (4,19).
Step-by-step explanation:
angle b = 71°
so, x + b = 180° ( linear pair )
x + 71° = 180°
x = 180° - 71°
x = 109°
Now, a + y = 180° ( <em>linear</em><em> </em><em>pair </em><em>)</em>
93° + y = 180°
y = 180° - 93°
y = 87°
<em>Hence</em><em>,</em><em> </em><em>the </em><em>value</em><em> of</em><em> x</em><em> </em><em>is </em><em>1</em><em>0</em><em>9</em><em>°</em><em> </em><em>and </em><em>y </em><em>is </em><em>8</em><em>7</em><em>°</em><em>.</em>
