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Leni [432]
3 years ago
14

-18x-17=-53

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

-18x-17=-53 /add 17 to both sides

-18x-17+17=-53+17

-18x=-36

x=(-36)/(-18)

x=2

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Laura sees a horse pulling a buggy. She wonders how it can accelerate if the action of the horse pulling the cart would causes a
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Answer:

The net forces exerted on the horse and cart are not the same, so they are not balanced forces.

Step-by-step explanation:

Please see the Newton's 2nd Law which states  that an object accelerates if there is a net or unbalanced force on it. In this scenario there is just one force exerted on the wagon i.e: the force that the horse exerts on it. The wagon accelerates because the horse pulls on it. And the amount of acceleration equals the net force on the wagon divided by its mass.

As there are two forces the push and pull the horse; the wagon pulls the horse backwards, and the ground pushes the horse forward. The net force is determined by the relative sizes of these two forces.

If the ground pushes harder on the horse than the wagon pulls, there is a net force in the forward direction, and the horse accelerates forward, and if the wagon pulls harder on the horse than the ground pushes, there is a net force in the backward direction, and the horse accelerates backward.

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7 0
3 years ago
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Does the absolute value graph below flips or not flips? F(x)=2|x-9|+3
True [87]

Answer:

The absolute value graph below does not flip.

Step-by-step explanation:

New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.

The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.

"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and <u>flip across the x-axis if "a" is negative</u>.

"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and <u>flip across the y-axis if "k" is negative</u>.

"d" shows horizontal shifts left (positive number) or right (negative number).

"c" shows vertical shifts up (positive) or down (negative).

The function f(x)=2|x-9|+3 has these transformations from the parent graph:

a = 2; Vertical stretch by a factor of 2

k = 1; No change

d = 9; Horizontal shift right 9 units

c = 3; Vertical shift up 3 units

Since neither "a" nor "k" was negative, there were no flips, <u>also known as reflections</u>.

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Step-by-step explanation:

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3 years ago
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