Hi there!
First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).
S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1
Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.
(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7
(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7
The two equations came out the same! Which is completely okay, and happens sometimes.
Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!
Answer:
0 cm³
Step-by-step explanation:
the lost of water =
(5×24)/12 x 1/10 × 18000
= 10/10 × 18000 = 18,000 cm³
so, the remaining water in the tub=
18,000 - 18,000 = 0 cm³
(the tub is empty)
Answer:
y = 5
Step-by-step explanation:
AB = | 8 - (- 4) | = | 12 |= 12
Divide 12 by the sum of the parts of the ratio, 1 + 3 = 4
12 ÷ 4 = 3
Thus
y = 8 - 3 = 5
When a jogger runs south and then turns west, we have right angle between segment 0.8 mi and segment to the west. So it is legs of the right triangle.
1.7 mi is hypotenuse.
hypotenuse² =(leg1)²+(leg2)²
1.7²=0.8² + (leg2)²
(leg2)²=1.7²-0.8² = 2.25 mi²
leg2=√(2.25 mi²)
leg2=1.5 mi
Answer is 1.5 mi.