14 miles Substitute AB = 3 and BC = 11 in above equation.
Answer:
![\sqrt{85}](https://tex.z-dn.net/?f=%5Csqrt%7B85%7D)
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = ![\sqrt{(6+1)^2+(-2-4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%286%2B1%29%5E2%2B%28-2-4%29%5E2%7D)
= ![\sqrt{7^2+(-6)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B7%5E2%2B%28-6%29%5E2%7D)
= ![\sqrt{49+36}](https://tex.z-dn.net/?f=%5Csqrt%7B49%2B36%7D)
=
← exact distance
12 problems = 30 minutes
24 problems = 60 minutes
36 problems= 90 minutes
48 problems = 120 minutes
60 problems = 150 minutes
Mary can respond 60 problems in 2 hours and 30 minutes/ 2 hours and half/ 150 minutes.
Hope this helps xx
Try this solution (analytic method):
1. if new line is parallel to the given one (y=3x+2) it means the new line has a form y=3x+b, where b - number.
2. In order to calculate 'b', it need to substitute the coordinates of point (6;1) into the equation of the new line:
1=3*6+b, ⇒ b=-17.
3. If to make up the equation of the new line:
y=3x-17
Answer: A
Answer:
486 mm
Step-by-step explanation:
solve each side on it's own first
First 2 rectangles: 288 mm all together
2 rectangle: 144 mm
Triangles: 54 mm
Then add rectangles and triangles:
288 mm + 144 mm + 54 mm = 486 mm