24 pens divided by 2 boxes equals 12 pens per box.
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Answer:
2a + 8b
Step-by-step explanation:
Answer:
graph{3x [-10, 10, -5, 5]}
Explanation:
this function is in the form of
y
=
m
x
+
q
with
m
=
3
,
q
=
0
so it's an straight line: ascending [
m
>
0
], that touch the
y
axis in the point
(
0
,
0
)
[
q
=
0
]
