Let as consider two triangles ABE and ACD
As we can see these two triangles ABE and ACD are similar triangles
Hence the ratio of sides must be equal
So
Now let AE = x
So plugging all the values we get
AB= 5 , AC= 11 , AE =x , AD = x+9
Cross multiplying we get
5(x+9) = 11(x)
Simplifying
5x +45 = 11x
Subtract 5x from both sides
45 = 6x
Divide both sides by 6
x= 45/6 = 7.5
Hence AE = 7.5
But we have to find the length of AD
AD = AE+ED = 7.5 + 9 = 16.5
AD= 16.5
Option D is the answer
The x-intercept is (1, 0) and (-0.5, 0).
The correct option is (a)
<h3>What is intercept?</h3>The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given function is:
f(x)=
So, The graph of this equation is attaches below.
The x- intercepts of this graph
or
X intercepts: (1, 0) and (-0.5, 0)
Hence, the x-intercept is (1, 0) and (-0.5, 0).
Learn more about intercept here:
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