<span>√24-x
=</span><span>√24-6
</span>=<span>√18
=</span>√9 . <span>√2
= 3</span><span>√2</span>
Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
(Eq. 1)

From starting point to water station:
(Eq. 2)

The distance between the water station and the ending point is:
(Eq. 3)


Hence, Aidan is 2 miles far from the ending point when he reaches the water station.
Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
It’s the first option.
5.85/6.5= 0.90
I am certain it is
200g butter
300g flour
400g sugar