Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula 
. Remember that 
is the center and 
is the radius squared.
So, the equation of the circle must be 
. Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:
The end result matches with the equation determined before, so option A is the answer.
Answer:
Step-by-step explanation:
4/3-7/9=12/9-7/9=5/9.
See in the explanation
<h2>
Explanation:</h2>
Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:
- Horizontal shifts
- Vertical shifts
- Reflections
Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>
To do so, you would need:
- A coordinate plane.
- An original shape
- Set the original shape in the coordinate plane.
- A rule
- The translated shape
For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:
A(-4,0)
B(-2, 0)
C(-2, 4)
The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:
D(2,1)
E(4, 1)
F(4, 5)
<h2>Learn more:</h2>
Translation: brainly.com/question/12534603
#LearnWithBrainly
Answer:
x ≤ - 2
Step-by-step explanation:
Given the inequality :
3x+5≤−1
Subtract 5 from both sides
3x + 5 - 5 ≤ - 1 - 5
3x ≤ - 6
Divide both sides by 3
3x/3 ≤ - 6/3
x ≤ - 2
Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.
The sun is 1.5*10^11 METERS from the Earth. In that case it takes approximately 8.3 minutes for sunlight to reach Earth.
<span>t=(1.5*10^11/3.0*10^8)/60=8.33 minutes </span>
<span>If you did want a hypothetical that puts the Earth at 1.5*10^11 kilometers from the sun, then it would take 8333.3 minutes for the sunlight to reach the "Earth's" surface. </span>
<span>t=(1.5*10^14/3.0*10^8)/60=8333.3 minute</span>
