Answer:
If I get 0=0 then it means:
- If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutions
- If the system of equations is 3 linear equations in 3 variables, there might be infinite number of solutions
Step-by-step explanation:
Linear equation systems can consist of two or three equations with two or three unknowns respectively.
A system of linear equations in two variables has infinite solutions when the lines made by them overlap each other and similarly a system with three variables has infinite solutions when two lines overlap each other and third plane is parallel to them
Hence,
If I get 0=0 then it means:
- If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutions
- If the system of equations is 3 linear equations in 3 variables, there might be infinite number of solutions
To subtract fractions, we need an lcd( lowest common denominator)
8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction
to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)
to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)
these two numbers now have the same denominator so we subtract them
24/42 - 21/42 = 3/42 which simplifies to 1/14
9. since these fractions already have a common denominator, we will make them mixed fractions
-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7
-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7
now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7
Answer:
112
Step-by-step explanation:
8 − 4 + 9 × 12
Using PEMDAS, we multiply first
8 − 4 + 108
Add and subtract from left to right
4+108
112
308.3 divided by 15 could be estimated by rounding 308.3 down to 300 and dividing that by 15:
300
----- = 20
15
Answer: t = 6 s
Step-by-step explanation:
When Rose hit the water, the height of the jump is 0, so: h(t) = 0.
Resolving it, we have:
-16t² + 16t + 480 = 0
To simplify the second degree equation, divided it by 16:
-t² + t + 30 = 0
Now, solve the equation using Bhaskara:
Δ = 1² - 4. (-1) . 30
Δ = 1 + 120
Δ = 121
t = 
t₁ = 
= - 5
t₂ = 
= 6
Since time can be negative, it took t = 6s for Rose to hit the water.
