Answer:
Hello again!
Original coordinates: 5, -2
New coordinates: 0, 4
Heres a picture demonstration to find the new coordinates. How I moved 5 left and 6 up
Hope that helps!
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
Answer:
area= 604 cm^2
perimeter=376 cm
Step-by-step explanation:
radius(r)=28/2
=14 cm
<em>area of the semicircle</em>=2r*theta /360
=2*22/7*14*180/360
=44cm^2
<em>area of the rectangle</em>=l*b
=28*20
=560 cm^2
<em>total area</em>=semicircle area+rectangle area
=560+44
=<u>604 cm^2</u>
<em>arc length</em>=*theta/360
=22/7*14*14*180/360
=308cm^2
<em>perimeter</em>=28+20+308+20
=<u>376 cm</u>
<u />
<em>Hope this helps you.</em>
Answer:
A. 6 dot 6 equals 36.
Step-by-step explanation:
Hope this helps :)