Answer:
Step-by-step explanation:
a) 4x¹⁰ = 2² * x¹⁰
64x² = 2⁶ *x²
GCF = 2² * x² = 4x²
b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)
=4x² *[ (x⁴)² - 4²]
= 4x² * (x⁴ + 4) (x⁴ - 4)
= 4x² * (x⁴ + 4)* [(x²)²- 2²]
=4x² * (x⁴ + 4) * (x² + 2)(x² - 2)
Answer:
3/4 inches
Step-by-step explanation:
Subtract Jimmys string length from Sam's string length
7 1/2 - 6 3/4
Get a common denominator of 4
7 1/2*2/2 - 6 3/4
7 2/4 - 6 3/4
Borrow 1 ( or 4/4) from the 7
6 4/4 + 2/4 - 6 3/4
6 6/4 - 6 3/4
3/4
The length of segments ab is 24
Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>