Answer:
The new ordered pair would be (-3, 4)
Step-by-step explanation:
The change would just be a change of the symbol of the y value. This is because a reflection over the x-axis will not change the x value and will give you a y on the other side.
Answer:
<u>Point-slope form: y-9 = -3(x - 6)</u>
<u>Standard form: y = -3x+27</u>
Step-by-step explanation:
The point-slope form equation is y - y1 = m(x - x1). Because we are trying to find the equation that passes through (6,9), use these values as x1 and y1. In this equation m is the slope and we are also given that the slope is -3. This means that the equation in point-slope form is y-9 = -3(x - 6).
If it is asked for the equation in standard form, some simple moving of terms can accomplish that. Multiply out the -3 and get y-9 = -3x + 18. Add 9 to both sides to get a final answer of y = -3x+27.
Answer:. 10u + t
Step-by-step explanation:
The value of the units digit is multiplied by 10 when it moves to the tens place.
Answer:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
Step-by-step explanation:
To solve this problem we first need to calculate the volume of the water, which is given by the cylinder volume, since it's stored in a cylindrical container.
We now need to calculate the volume of the sphere, by using the appropriate formula:
When the sphere is inserted into the cylinder the volume of the things that are inside of the container are added up, so the volume would be the volume of the water plus the volume of the sphere, we can use this information to calculate the height of the water as shown below:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
(-4,-2) It is the bottom left side of a coordinate plane.