Answer:
![x^{2} =3y](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D3y)
Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form
![x^{2} =4py](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D4py)
Because the parameter
is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have
![x^{2} =4(0.75)y\\x^{2} =3y](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D4%280.75%29y%5C%5Cx%5E%7B2%7D%20%3D3y)
Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is
.
Answer:
2.2 kg
Step-by-step explanation:
If 3/4 of the weight is apples, the remaining 1/4 is pears. 1/4 of 8.8 is 2.2, so ...
the farmer sold 2.2 kg of pears at the farmer's market.
Answer: ![4.5\ meters](https://tex.z-dn.net/?f=4.5%5C%20meters)
Step-by-step explanation:
Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.
Notice that there are two similar triangles.
So, you can set up the following proportion:
![\frac{1.8}{1.2}=\frac{h}{(1.2+1.8)}](https://tex.z-dn.net/?f=%5Cfrac%7B1.8%7D%7B1.2%7D%3D%5Cfrac%7Bh%7D%7B%281.2%2B1.8%29%7D)
Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".
Therefore, the value of "h" is :
![\frac{1.8}{1.2}=\frac{h}{3}\\\\(3)(\frac{1.8}{1.2})=h\\\\\frac{5.4}{1.2}=h\\\\h=4.5](https://tex.z-dn.net/?f=%5Cfrac%7B1.8%7D%7B1.2%7D%3D%5Cfrac%7Bh%7D%7B3%7D%5C%5C%5C%5C%283%29%28%5Cfrac%7B1.8%7D%7B1.2%7D%29%3Dh%5C%5C%5C%5C%5Cfrac%7B5.4%7D%7B1.2%7D%3Dh%5C%5C%5C%5Ch%3D4.5)