So basycilly slope intercept form is y=mx+b where m=slope and b=y intercept
slope=-1
subsiute
y=-1x+b
y=-x+b
so we are given the point (-3,2)
x=-3 and y=2 is one solution
subsitue and solve for b
2=-(-3)+b
2=3+b
subtract 3 from both sides
-1=b
the slopt inercept form is y=-x-1
1st drop : 48
1st bounce:24
2nd drop : 12
2nd bounce: 6 and so on and so forth:
This is a geometric progression with 1st term a = 48 and common ratio r= 1/2
The sum of all terms in a G.P is
S=a(1 - rⁿ⁻¹)/(1-r),
S = 48(1 - r⁴)/(1-r). Replace r by 1/2
S = 48[1-(1/2)⁴]/(1/2)
S = 90 ft
Start by writing your own expression.
x is the smaller number and x + 1 is the next number
x(x + 1) = 420
x^2 + x - 420 =0 ⇒ constant = -420
Count the squares
6 x 3.5
Area = 6 x 3.5
Area = 21
Perimeter = 6 + 6 + 3.5 + 3.5
Perimeter = 19
Proper fractions for 3(5/8) = 29/8.
<u>Step-by-step explanation:</u>
The given fraction can be converted into improper fraction as the numerator will be greater than the denominator.
3 is multiplied by 8 and then it is added to 5,
we will get 29,
and
3 (5/8) = ((3×8)+5)/8
= (24+5)/8
= 29/8
so finally 29/8 is the answer.