7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8
10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
(a+b)²=a²+2ab+b²
For (x+6)² =x²+2*x*6 +6²=x²+12x+36
Answer:
27.73 cm
1. Find the area of the rectangle: 8x7=56 cm
2. Find the area of the circle: pi x 3 squared= 28.2743338....cm
3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm
4. Round to the nearest hundredth: 27.73 cm
20 * 15 * 10 *10^-6
= 0.003
Answer:
a ratio is a comparison of two numbers or measurements
the objects being compared are called the terms of the ratio.
if the tow terms are different units this is called a rate.
example:
David covers 600 miles in 8 hours and John covers 380 miles in 5 hours. Who is driving faster ?
solution:
Distance covered by David in 1 hour is
= 600 / 8
= 75 miles per hour
Distance covered by John in 1 hour is
= 380 / 5
= 76 miles per hour
When we compare the above unit rates (Distance covered in 1 hour), John is driving faster than David.
