The tangent secant theorem says
PR × PS = PQ²
4 × (4+5) = PQ²
36 = PQ²
PQ=6
Answer: 6
Answer:
Step-by-step explanation: 8*2x, 8*-14+13=4x-27
16x-112+13=4x-27
16x-99=4x-27
-4x -4x
12x-99=-27
+99 +99
12x = 72
/12 /12
x=6
9. 31 + 5 = 36
10. 16 - 4 = 12
12. 9
13. 44 + 34 = 78
14. 101 - 1 = 100
15. -539 ???
16. 15 ??
17. |-435| = 435
Answer:
Please find attached the graph of the following function;

Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
Answer:
y -6 = 1/3(x +3) or y = 1/3x +7
Step-by-step explanation:
The slope of the line describing the given path is the x-coefficient, -3. The slope of the perpendicular line will be the negative reciprocal of that:
m = -1/(-3) = 1/3
The point-slope form of the equation for a line can be used to write the equation for the new path:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
For m=1/3 and (h, k) = (-3, 6), the new path can be represented by ...
y -6 = 1/3(x +3) . . . . point-slope form
y = (1/3)x +7 . . . . . . slope-intercept form