Answer:
2, 4, and 5
Step-by-step explanation:
There are three states that a system of linear equations can be in. Intersecting, parallel, and overlapping. Intersecting results in one solution, parallel results in none, and overlapping makes all solutions that are on the line correct. The question says that there are infinite solutions, so it must be overlapping. We can immediately rule out the first one because only points that lie on the line can be solutions. Since we know that the system has all of the solutions shown, 2 has to be true. 3 is the same idea. When you plug the x value (20) into the equation, you get the y value (58) meaning that it must be true. 5 is stated above.
Answer:
Radius length: √5
Standard Form (Equation): (x + 4)^2 + y^2 = 5
Step-by-step explanation:
First we will determine the radius;
Center: (-4, 0)
Point on Circumference: (-2, 1)
d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2
= √4 + 1 = √5
Therefore the radius is of length √5
Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.
In the given diagram, we can note that the tree divides the hypotenuse of the triangle as well as the side where the tree is based into halves.
In a triangle, when a line is drawn joining between the midpoints of two sides, this line is always parallel to the third side and equals half its length.
Applying this concept to the given diagram here, we will find that the tree is joining the midpoints of two sides of the triangle. this means that the tree is parallel to the building and the height of the tree is half the height of the building.
Therefore:
height of tree = 0.5 * 120 = 60 ft
A. People accused of crimes had certain rights unless found guilty through legal process.
The answer is A hope this would help you