Answer:
x>0
Step-by-step explanation:
- subtract 1 from both sides
- subtract x from both sides
- x>0
For rigt triangle with legs legnth a and b and hypotnuse legnth c
a^2+b^2=c^2
we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller
ok so
first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and
hypontuse is 6 more than shorter
c=6+b
sub 3+b for a and 6+b for c in oroiginal equation'
a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero
b-9=0
b=9
b+3=0
b=-3
fasle, legnths cannot be negative
answer is shorter side=9 cm
Answer:
12.5 cm
Step-by-step explanation:
0.625km=62500cm. The scale factor is 1:5000. So the distance on the map will be 62500/5000=12.5 cm
Answer:
Step-by-step explanation:
We can use the double angle identity for sine.
The given expresion is
We apply the identity to get:
We simplify to obtain;
This simplifies to:
The correct answer is D
Answer:
(y - 2) and (x + 3)
Step-by-step explanation:
(y - 2)(x + 3) is already in factored form; the factors are (y - 2) and (x + 3).
