Answer:
(5, 4 )
Step-by-step explanation:
Given the 2 equations
3x - y = 11 → (1)
- 2x - 4y = - 26 → (2)
Multiplying (1) by - 4 and adding to (2) will eliminate the y- term
- 12x + 4y = - 44 → (3)
Add (2) and (3) term by term to eliminate y
- 14x + 0 = - 70
- 14x = - 70 ( divide both sides by - 14 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
3(5) - y = 11
15 - y = 11 ( subtract 15 from both sides )
- y = - 4 ( multiply both sides by - 1 )
y = 4
solution is (5, 4 )
The sum of n terms of a geometric series is given by
Substituting the given numbers, you have
There are 6 terms in the series.
Answer:
x=3
Step-by-step explanation:
3(2x+3)=27
2x+3=27/3=9
2x=9-3=6
x=6/2=3
Answer:
0.3cm and/or 3mm
Step-by-step explanation:
When converting 10cm to mm you get 100mm and when putting 100mm to 103mm its visible that the 103mm is larger, but by how much? The difference is 0.3cm and/or 3mm.
We now look at a right-angled triangle with sides a, b and c, as shown opposite. Pythagoras' Theorem states that, for any right-angled triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the two shorter sides.
