I + 6 = r
4r = s
i + r + s = 126
4i + 24 = 4r
s= 4r
i = r-6
4i+24=i+6
-3i=18
i = 6
Solve the rest
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation:
It’s B
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2
Answer:
0.321233-cups, 0.321233-tablespoon, 0.321233-teaspoon
Step-by-step explanation:
the next 2 questions I can't convert because I don't have grams
