Find the slope: m=(19.00-13.60)/(2003-1998)=1.08
so we have y=1.08x +b
next, use the point (2003, 19.00) to find b:
19.00=1.08*2003 +b =>b=-2144.24
so the equation is y=1.08x-2144.24
Radius = Diameter ÷ 2
Radius = 6 ÷ 2 = 3cm
Surface area = 2πr² + 2πrh
Surface area = 2 π (3)² + 2 π (3) (11.5) = 272.32 cm² (nearest hundredth)
Answer: 272.32 cm²
Answer:
Prime: x^2 + 17x - 30.
Difference of 2 squares: 256x^4 - 49x^2.
GCF: 4x^2 - 24x + 144.
Perfect Square trinomial: 4a^6 - 28a^3 + 49
Factoring Trinomial: b^2 + 5b - 36.
Step-by-step explanation:
1. x^2 + 17x - 30 will not factor.
2. 256x^4 - 49x^2 = (16x^2 + 7x)(16x^2 - 7x)
3. 4x^2 - 24x + 144 = 4(x^2 - 6x + 36).
4. 4a^6 - 28a^3 + 49 = (2a^3 - 7)^2.
5. b^2 + 5b - 36 = (b + 9)(b - 4).
Answer:
Step-by-step explanation:
The length can be found by setting up a proportion. If the width is reduced by some ratio, then the length will share the same ratio.
3 / 8 = x / 10 Multiply both sides by 10.
3 * 10 / 8 = x Multiply first
30/8 = x Divide next. You don't need to do it in this order.
3 6/8 Simplify
3 3/4 Give another choice
3.75
The length = 3.75 inches
If none of these are correct, please leave a note with your choices.