Answer:
x = 3
Step-by-step explanation:
The smaller triangle and larger one are similar, so corresponding sides are proportional.
8/4 = (8 +(x -1))/5
10 = x +7 . . . . . . . . . multiply by 5 and simplify
3 = x . . . . . . . . . subtract 7
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<em>Alternate solution</em>
The short segments are also proportional:
(x -1)/(5 -4) = 8/4
x -1 = 2 . . . . simplify
x = 3 . . . . . . add 1
For the first question the answer is (2,2) and for the second question the answer is (0,4)

We have the question...
How many times does 3 go into 35?
Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.
Hi there! See an attachment below! (May not be clear for an explanation so I will explain it to you.)
We can find real roots of polynomial function by counting their x-intercepts of graph. See in the attachment that the graph intersects 3 points on x-axis/plane.
x-axis represents the solutions of the graph or equation of the graph. For example, a graph of (x-1)² would be a parabola that has x-intercept at (1,0). If we solve the equation for (x-1)² = 0, our solution would be x = 1 like the x-intercepts.
Conclusions
- We can find the real roots of the graph by counting how many points does the graph intersect on x-axis/plane.
- If a graph doesn't intersect x-axis or does not have any points on x-axis, that graph or its equation does not have a real root. For example, graph of x²+1
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