Answer:
5. x = 5, y = 3
6. x = 0, y = 4
7. x = -1, y = 1
Step-by-step explanation:
5. substitute 3(value of y) into the equation y = x - 2:
=> 3 = x - 2
=> x = 5
6. substitute 0(value of x) into the equation y = x + 4:
=> y = 0 + 4
=> y = 4
7. substitute 1(value of y) into the equation y = 2x + 3:
=> 1 = 2x + 3
=> 2x = -2
=> x = -1
Answer:
Area: 201.06
Circumference:50.26
Step-by-step explanation:
Area of a circle: pi*r^2
8^2=8*8=64
64*pi=201.06193 Rounded to the neares hundredth=201.06
_________________________________________________
Circumference of a circle: 2pi * r
2*8=16
16*pi=50.2654825 Rounded to the nearest hundredth = 50.26
5x-2x=7x+2x-24
3x = 9x -24
3x - 9x = -24
-6x = -24
x = -24/-6
x = 4
Answer:
565.24
Step-by-step explanation:
1056.24-459-32=565.24
Answer:
50
Step-by-step explanation:
42/n³∑k²+12/n²∑k+30/n∑1
=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]
=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30
=7(n+1)(2n+1)/n²+6(n+1)/n+30
=[7(2n²+3n+1)+6(n²+n)+30n²]/n²
=[14n²+21n+7+6n²+6n+30n²]/n²
=[50n²+27n+7]/n²
=[50+27/n+7/n²]
→50 as n→∞
because 1/n,1/n²→0 as n→∞
