The number is x
it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero
x-7=0
x=7
this is not the answer because we were told the number was negative
x+4=0
x=-4
correct
the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check
the number is -4
Answer:
l = 2.25 cm
Step-by-step explanation:
given l is inversely proportional to w² then the equation relating them is
l =
← k is the constant of proportion
(i)
to find k use the condition w = 1.5 , l = 16 , then
16 =
=
( multiply both sides by 2.25 )
36 = k
l =
← equation of proportion
(ii)
when w = 4 , then
l =
=
= 2.25 cm
1 dimes are worth 10 cents.
Multiply.
6 * 10 = 60
Put in a fraction with the denominator given.
60/100
Reduce the fraction.
60/100
30/50
15/25
3/5
Best of Luck!
70 cm
ex:
100 cm in a meter
so you’d do 100-30 cm
and that equals 70 centimeters