Because of the symmetry, we can just go from x=0 to x=2 to find the area between
<span>y = x^2 and y = 4 </span>
<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>
<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>
<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
Yes because of ASA
Angel MLX =angel JLM
JLM =90
They share a side (included ) so it is ASA
Answer:
All the expressions that have a negative in the radical
(Boxes 2, 3 5, and 6)
Step-by-step explanation:
You can't take the square root of a negative number. When you square a number, the product will always be positive.
Hope this helps!
-18+4x
2(2x-9)
4x=18
-4x=-18
x=18/4
-x=-18/4
Answer:
4.0 = 64. 5.0 = 80. pints to fluid ounces. 6.0 = 96. 7.0 = 112. 8.0 = 128. 9.0 = 144. 10 = 160. 1 US fluid ounce ( fl oz) = 0.0625 US pints ( pt) = 0.03125 US quarts (qt) = 0.125 US cups (c) = 6 US teaspoons = 2 US tablespoons = 29.5735296 milliliters (ml) = 0.0295735296 liters (l).
Step-by-step explanation:
