Alright, lets get started.
Please refer the diagram, I have attached.
∠ABC is given as y.
So, the ∠EBC will be 180 - ∠ABC.
∠EBC = 180 - y
As given in question, BO is the bisector of ∠EBC, it means ∠OBC will be half of the ∠EBC.
∠OBC = of ∠EBC
∠OBC = (180 - y)
∠OBC =
Similarly,
the ∠DCB will be 180 - ∠ACB
∠DCB = 180 - z
As given in question, CO is the bisector of ∠DCB, it means ∠OCB will be half of the ∠DCB.
∠OCB = of ∠DCB
∠OCB = (180 - z)
∠OCB =
In triangle OBC, the sum of the angles of the triangle will be 180.
∠BOC + + = 180
∠BOC +
∠BOC = =
As per upper triangle ABC,
or
Putting this value in value of ∠BOC
∠BOC =
∠BOC =
∠BOC = 90 - : Hence proved
Hope it will help :)
2x - y = 1
2x + y = 7
-------------------add
4x = 8
x = 2
2x - y = 1
2(2) - y = 1
-y = -3
y = 3
answer (1,3)
Due to length restrictions, we kindly invite to read the explanation of this question and the image of parabola on <em>Cartesian</em> plane attached below to see the results.
<h3>How to graph a quadratic function </h3>
To graph a parabola, we shall follow the following procedure:
- Mark the vertex of the parabola on the <em>Cartesian</em> plane.
- Mark at least two pairs of values on the <em>Cartesian</em> plane, one on the right of the vertex and other on the left of the vertex.
- Match the points to create the resulting curves.
By following all the steps, we generate the curve with the help of a graphing tool.
To learn more on quadratic functions: brainly.com/question/27918223
#SPJ1
Answer:
m=2
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 4x from both sides of the equation.
−2y=5−4x
Divide each term by −2 and simplify.
y=2x−5/2
Answer:
or
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares