Answer:
Infinitely many solutions
Step-by-step explanation:
If we have a system of equation like:
2x+y=4
6x+3y=12
If we make y the subject in the first equation and substitute into the second equation, we get:
6x+3(4-2x)=12
We expand to get:
6x+12-6x=12
6x-6x+12=12
Now the variable adds out to give:
12=12
This statement is true so the equation has infinitely many solution.
Answer:
The answer is 4 zeros
Step-by-step explanation:
(6×5)×10³
30×1000=30000
Therefore 4 zeros in 30000
Answer:
Step-by-step explanation:
Distance between two points and is given by the formula,
Distance =
a). A(-6, -4), B(-3, -1)
Distance between A and B =
=
= 3√2
= 4.2 units
b). C(3.5, 1), D(-4, 2.5)
Distance between C and D =
=
= 7.65
≈ 7.7 units
c). Distance between X(5, -5) and Y(-5, 5)
Distance =
=
= 10√2
= 14.14
≈ 14.1 units
Answer:
25%
Step-by-step explanation:
First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.
The probability of each number is 1/6, so:
P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2
Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.
As we have again 3 numbers, the probability P2 will also be 1/2
Then, the final probability is the product of both P1 and P2:
P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%