Each of the small pitcher will contain 4 cups of water while each of the large pitcher will contain 16 cups of water.
Therefore, two equal-sized large pitchers will hold 32 cups of water while the two equal-sized small pitchers will hold 8 cups of water
<h3>
Larger Pitchers</h3>
The 2 larger pitchers are equal in size.
Let
each size of the large pitcher = x
Two large size pitcher = 2x
<h3>
Smaller Pitchers</h3>
The 2 smaller pitchers are equal in size
let
each size of the pitcher = y
Two small sized pitchers = 2y
<h3>Pitchers Capacities</h3>
The whole pitchers holds 40 cups of water. Therefore,
The capacity of one large pitcher minus the capacity of one small pitcher is 12 cups. Therefore,
Combine the equations.
2x + 2y = 40
x - y = 12
x + y = 20
2y = 8
y = 8 / 2
y = 4
x - 4 = 12
x = 12 + 4
x = 16
learn more on geometry here: brainly.com/question/26109140?referrer=searchResults
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Im sorry im in sixgh grade i was so close to solving it but that didnt work, i tried
(-6)(-0.4)(-0.5) = (-1)6⋅4⋅5⋅10⁻² = -1.2
Answer:
Step-by-step explanation:
Any point on a given parabola is equidistant from focus and directrix.
Given:
Focus of the parabola is at 
.
Directrix of the parabola is 
.
Let 
be any point on the parabola. Then, from the definition of a parabola,
Distance of from focus = Distance of from directrix.
Therefore,
Squaring both sides, we get
![(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9](https://tex.z-dn.net/?f=%28x-2%29%5E%7B2%7D%2B%28y-8%29%5E%7B2%7D%3D%28y-10%29%5E%7B2%7D%5C%5C%28x-2%29%5E%7B2%7D%3D%28y-10%29%5E%7B2%7D-%28y-8%29%5E%7B2%7D%5C%5C%28x-2%29%5E%7B2%7D%3D%28y-10%2By-8%29%28y-10-%28y-8%29%29...............%5B%5Cbecause%20a%5E%7B2%7D-b%5E%7B2%7D%3D%28a%2Bb%29%28a-b%29%5D%5C%5C%28x-2%29%5E%7B2%7D%3D%282y-18%29%28y-10-y%2B8%29%5C%5C%28x-2%29%5E%7B2%7D%3D2%28y-9%29%28-2%29%5C%5C%28x-2%29%5E%7B2%7D%3D-4%28y-9%29%5C%5Cy-9%3D-%5Cfrac%7B1%7D%7B4%7D%28x-2%29%5E%7B2%7D%5C%5Cy%3D-%5Cfrac%7B1%7D%7B4%7D%28x-2%29%5E%7B2%7D%2B9)
Hence, the equation of the parabola is .
