Answer:
A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.
Step-by-step explanation:
If you have at least as many equations as your have unknown variables, the 'system' is solvable (unless the equations are copies of eachother).
In this case, isolate one letter and plug it in the other. I'm going for the 2a in the bottom one (it doesn't matter)
2a - 4b = 12 => (divide by two and move the b's to the other side)
a = 6 + 2b. (plug this one into the top equation)
4(6+2b) + 6b = 10 => 24+8b+6b = 10 => 24 + 14b = 10 => 14b = -14 => b=-1
a = 6 + -2 = 4.
So a=4 and b=-1.
Answer:
no the amount of Kidney beans is not proportional to the amount of black beans
Step-by-step explanation:
Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π
for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more
therefore answer is 36π = 113.1 inches
Answer:
Step-by-step explanation:
Given
Height H = 4 feet
Velocity = 14ft/s
Required
Time the pumpkin will hit the ground
Using the equation of mottion
H = ut + 1/2gt²
4 = 14t + 1/2(9.8)t²
4 = 14t + 4.9t²
4.9t²+14t-4 = 0
t = -14±√196+16(4.9)/2(4.9)
t = -14±√196+78.4/2(4.9)
t = -14±16.57/9.8
t = -14+16.57/9.8
t = 2.57/9.8
t = 0.2seconds
