a ball is thrown from an initial height of 2 meters with an initial upward velocity of 11 m/s. the ball's height h (in meters) after t seconds is given by the following.

Step-by-step explanation:

There will be 2 values of t for which the height is 7 because, first and foremost, this is a quadratic...a second degree polynomial.  Also, we know that when we throw something up, that it reaches a max height, then comes back down, passing on the way down all the things it passed on the way up.  The left side of your function is h(t), which represents the height of the object depending upon how long it's been in motion.  If we are asked to solve for t when the height is 7, we replace h(t) with 7 and solve the quadratic by factoring.  First, get everything on one side of the equation and set it equal to 0:

becomes

Factor that whichever way you are most familiar with (the quadratic formula will ALWAYS work for quadratics!) and get the values of t:

t = .64 seconds and

t = 1.56 seconds

3.how is solving radical equations different than solving linear equations?

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.