Caution: you need to use the same units of measurement throughout. If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.
We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.
Write the ratio
21.0 cm 135 newtons
------------- = --------------------
62.1 cm x
Solve this for x. This x value represents the mass of a fish that would stretch the spring by 62.1 cm. You can cancel "cm" in the equation above:
21.0 135 newtons
------ = --------------------
62.1 x
Then 21.0x = (62.1)(135 newtons). Divide both sides of this equation by 21.0 to solve it for x.
Answer:
Step-by-step explanation:
I think you meant y = -2x + 5.
x y = -2x + 5
0 5
1 -2(1) + 5 = 3
2 -2(2) + 5 = 1
Note that every time you increase x by 1, y decreases by 2.
Answer:
25. No slope
Step-by-step explanation:
25. Y2 - Y1 / X2 - X1
= -8 - (-3) / 9 - 9
= -5 / 0
= no slope; straight line
Use this formula (Y2 - Y1 / X2 - X1) for each ques.
Lateral faces are all the sides of the prisms EXCEPT the bases, which are the sides on the top and bottom. To find the area of the lateral faces we can use the formula: perimeter x height.
perimeter = 2 (6 + 8) = 2 x 14 = 28
height = 14
area of the lateral faces = perimeter x height = 28 x 14 = 392
Hope this helps!
