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ASHA 777 [7]
3 years ago
8

What is the function graphed below?

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Answer:

Enter a problem...

Pre-Algebra Examples

Popular Problems

 

Pre-Algebra

 

Graph y=-0.5x+1

y=−0.5x+1y=-0.5x+1

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope: −0.5-0.5

y-intercept: 11

Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values.

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For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

\frac{LB}{CL}= \frac{AB}{AC}

The above equation can be rearranged as:

LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}...(Equation 1)

If we have a proper look at the denominator which is \frac{AC}{AB}, we note that in \Delta ABC, \frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)

Thus, (Equation 1) wil give us:

LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12

<u>Therefore, LB= 12 feet</u>

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