Answer:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
Step-by-step explanation:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
3.75 for 25 because its 6.66666 instead of 7.14
Answer:
y = 225
Step-by-step explanation:
since y and x are directly proportional the equation relating them is
y = kx ← k is the constant of proportionality
to find k use the given condition y = 288 when x = 32
k = = = 9
y = 9x ← is the equation of proportionality
when x = 25, then
y = 9 × 25 = 225
Answer:
the best thing to say was that the first one n the house of
Answer:
√2 is approximately 1.4.
Step-by-step explanation:
Part E:
1.3 squared is 1.69.
1.4 squared is 1.96.
1.5 squared is 2.25.
√2 is <em>not</em> between 1.3 and 1.4 because 1.4 squared only reaches up to 1.96 and not 2.
√2 <em>is</em> between 1.4 and 1.5 because 1.4 squared is 1.96 while 1.5 squared is 2.25. The √2 will be somewhere between 1.4 between 1.5.
2 is closer to 1.96 (0.04 units) than 2.25 (0.25 units). Thus, √2 is approximately 1.4.