Help, please! I have only a few minutes longer- 20 points.
1 answer:
Answer
The solution for the two system of equations is <u>(</u>-4,2)
Explanation
<u>Equation for slope-intercept</u>
The equation for slope-intercept form is y = mx + b
-mx represents the slope of the equation
-b represents the y-intercept
<u>Determine the slope and the y-intercept</u>
The slope of the two equations can be found based on what the number in front of the x is, this term is also called the coefficient.
The y-intercept is in the form of b and is substituted normally by a positive or negative integer.
Slope: 1/4 and 2
Y-intercept: 3 and 10
You must graph these, for this problem I have provided one for you.
<u>Determining the solution</u>
Since this problem requires you to find the solution based on the graph you must graph the two lines and the solution is the point in which the two lines intersect.
Based on the graph I have provided for you, we can determine that the solution is (-4,2)
<u>Checking your work</u>
In math it's very important to check your work: plug in the solution and if it is a perfect math then the solution is correct.
The solution applies to the first equation, however we must now check for the second equation.
The solution also applies to the second equation, so we now know that this solution is correct.
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Answer:
Given : BRDG is a kite that is inscribed in a circle,
With BR = RD and BG = DG
To prove : RG is a diameter
Proof:
Since, RG is the major diagonal of the kite BRDG,
By the property of kite,
∠ RBG = ∠ RDG
Also, BRDG is a cyclic quadrilateral,
Therefore, By the property of cyclic quadrilateral,
∠ RBG + ∠ RDG = 180°
⇒ ∠ RBG + ∠ RBG = 180°
⇒ 2∠ RBG = 180°
⇒ ∠ RBG = 90°
⇒ ∠ RDG = 90°
Since, Angle subtended by a diameter or semicircle on any point of circle is right angle.
⇒ RG is the diameter of the circle.
Hence, proved.
