The given measurement of the Instagram photo is "4" by "4". And a poster enlargement is being printed with a scale factor of 8.5 .
So on using the scale factor of 8.5 , lengths of new sides are "8.5 *4" by "8.5 *4"
= " 34" by "34" .
So the new lengths of the enlarged pictures are of dimension "34" by "34" .
Hello there,
The <em>answer is </em>A' (-3,2).
<h3>Step-by-step explanation:-</h3>
From the image shown on the xy-plane, the coordinate of point A is at (3,-2).
The rule for rotation by 180° about the origin is (x,y)→(-x, -y), where (x,y) is the coordinate of image and (-x, -y) is the coordinate of the resulting pre-image.
Given the coordinate point A(3,-2), if this coordinate is rotated 180°, the resulting point A' will be located at (-3,-(-2)) = (-3,2).
Therefore, the answer will be <u>A'(-3,2)</u>
✍️ <em>by </em><em>Benjemin</em> ☺️
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
Answer:
if x is positive, the answer is positive. If x is negative, the answer is negative.
