Answer:
the gas 4$
Step-by-step explanation:
5x=20
divide 5/5 to cancel the 5 then 20/5 and there you have it 4
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
1cm = 10mm
the 1st line segment is 35cm = 350mm
the 2nd line segment is 450mm = 45cm
Answer:
75%
Step-by-step explanation:
15+15+25+5=60
15/60=25%
100%-25% = 75%
Answer:
b1 = 22 ft
the length of the base next to the goal is 22 ft
Step-by-step explanation:
From the given formula;
Area A = 1/2×(b1 + b2)h ........1
Given;
Area A = 275ft^2
base b2 = 28 ft
base b1 = ?
height h = 11 ft
From equation 1;
Making b1 rhe subject of formula;
A = 1/2×(b1 + b2)h
Multiply through by 2;
2A = (b1+b2)h
b1+b2 = 2A/h
b1 = 2A/h - b2 ...... 2
Substituting the given values into equation 2;
b1 = 2(275)/11 - 28
b1 = 50 - 28
b1 = 22 ft
the length of the base next to the goal is 22 ft