Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1

Mathematics

1 answer:

Brut [27]4 years ago

6 0

Answer:

The vertex would be 1

Step-by-step explanation:

Desmos makes a horizontal line and that line is on the y axis at 1

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valkas [14]

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3 years ago

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liraira [26]

Answer:

C. The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.

Step-by-step explanation:

If t=3 or t=6 take the 3 and replace it for t. d(3)= 4.9(3)^2= 44.1 so with that answered you can now narrow the answer down to A. and C. so if we go back to the question the coin was dropped from the top of a building that then narrows it down to C.

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4 years ago

A box is being pulled by two people. The ropes make angles of 40Â° and 55Â° with the direction of motion of the box. If the resu

Andrew [12]

Answer:

575.6 N at 40°
451.7 N at 55°

Step-by-step explanation:

Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...

x·cos(40°) +y·cos(55°) = 700

In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.

x·sin(40°) - y·sin(55°) = 0

Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.

Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.