Answer:
(4, - 2 )
Step-by-step explanation:
Given the 2 equations
x + y = 2 → (1)
x - y = 6 → (2)
Adding the 2 equations term by term will eliminate the term in y, that is
(x + x) + (y - y) = (2 + 6)
2x = 8 ( divide both sides by 2 )
x = 4
Substitute x = 4 in either of the 2 equations and solve for y
Substituting in (1)
4 + y = 2 ( subtract 4 from both sides )
y = - 2
Solution is (4, - 2 )
Answer:
D
Step-by-step explanation:
Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.
We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.
We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.
From there subtracting 12100 from both sides gives b²=5626.2596.
Square rooting b isolates it, leaving b=75.0083969.
Since the value of the diagonal was approximate, this can be assumed the b is 75m.
**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!
9514 1404 393
Answer:
B, D
Step-by-step explanation:
The equation can be solved by multiplying by 36.
3/4 = a/36
a = 36(3/4) = 108/4 = 27
The listed values that make the equation true are 27 and 108/4.
