Y=-.3x^2+3x
....
-2x+5.5y=19.5
5.5y=19.5+2x
y=(19.5+2x)/5.5
When the light touches the parabola y=y so
(19.5+2x)/5.5=-.3x^2+3x multiply both sides by 5.5
19.5+2x=-1.65x^2+16.5x add 1.65x^2 to both sides
1.65x^2+2x+19.5=16.5x subtract 16.5x from both sides
1.65x^2-14.5x+19.5=0
Using the quadratic equation for simplicity...
x=(14.5±√81.55)/3.3 we only need the lower point, or the smaller value of x
x≈1.657423 since:
y=(19.5+2x)/5.5
y≈4.15 units
Answer:
23/3 cubic units
Step-by-step explanation:
The volume of a prism is the product of its base area and it height:
V = (23/4 units^2)(4/3 units) = (4·23)/(4·3) units^3 = 23/3 units^3
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
274.80 if you rounded to the nearest 10th but if you don’t it will be 274.78
