The value of x from the diagram is 42. 5
<h3>How to determine the value</h3>
Since we have that △TUS∼△CBS
Line BS = 8. 5
Line CS = 7. 5
Line US = 42. 5
TS = x
To find TS, we can see that line US is equivalent in length to line TS
If line US = 42. 5, then line TS = 42. 5
TS = x = 42. 5
Thus, the value of x from the diagram is 42. 5
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Answer:
AC Midpoint (2,0)-
CB Midpoint (5,-4)
midlength is 5
Step-by-step explanation:
midpoint formula 
A(2,4) C(2,-4)
(2,0)
C(2,-4) B(8,-4)
midpoint is (5,-4)
Distance between the 2 midpoints is the midsegment
(2,0) and (5,-4)
The equation of the parabola is y = 5x² - 11x - 31
<h3>Parabola</h3>
The equation of a parabola is a quadratic equation in the form:
y = ax² + bx + c
Where a, b and c are constants.
At point (2, - 33):
- -33 = a(2)² + b(2) + c
- 4a + 2b + c = -33 (1)
At point (4, 5):
- 5 = a(4)² + b(4) + c
- 16a + 4b + c = 5 (2)
At point (5, 39):
- 39 = a(5)² + b(5) + c
- 25a + 5b + c = 39 (3)
Solving equation 1, 2 and 3 simultaneously gives:
a = 5, b = -11, c = -31.
The equation of the parabola is y = 5x² - 11x - 31
Find out more on parabola at: brainly.com/question/4148030
Any of them could apply since they’re all lower than 5
Y = mx + c
m = 2/1
m = 2
y = 2x + 3
