Answer:
4/9
Step-by-step explanation:
3L /2 = 2/3 cross multiply expressions
9L = 4 divide both sides by 9
L = 4/9
Answer:
y = 2x - 1
Step-by-step explanation:
Note the difference between consecutive terms of y are constant, that is
1 - (- 1) = 3 - 1 = 5 - 3 = 7 - 5 = 9 - 7 = 2
Thus the equation is of the form y = 2x ± c ← c is a constant
Substitute values of x to determine the required value of c
x = 0 : 2 × 0 = 0 ← require to subtract 1 for y = - 1
x = 1 : 2 × 1 = 2 ← require to subtract 1 for y = 1
x = 2 : 2 × 2 = 4 ← require to subtract 1 for y = 3, and so on
Thus the required equation is
y = 2x - 1
Answer: 1
Step-by-step explanation: it only goes into 14 once because 8 • 2 =16
14. Trick question, ignore the side.
Call the angle b.
34 + b + b = 180
2b = 146
b = 73
choice b
15. That's intersecting chords so the product of the segment lengths are equal:
5(22)=10 x
x = 5(22)/10 = 11
choice a
16. Intersecting tangent and secant;
Choice a
Notice the grid, the points are (-5, -2) and (4, -1), thus
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 4}} &,&{{ -1}}~) % (c,d) &&(~{{ -5}} &,&{{ -2}}~) \end{array}~~ % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[-5-4]^2+[-2-(-1)]^2}\implies d=\sqrt{(-5-4)^2+(-2+1)^2} \\\\\\ d=\sqrt{(-9)^2+(-1)^2}\implies d=\sqrt{81+1}\implies d=\sqrt{82}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%5C%5C%20%5Cquad%20%5C%5C%0A%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%26%26x_2%26%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26%26%28~%7B%7B%204%7D%7D%20%26%2C%26%7B%7B%20-1%7D%7D~%29%20%0A%25%20%20%28c%2Cd%29%0A%26%26%28~%7B%7B%20-5%7D%7D%20%26%2C%26%7B%7B%20-2%7D%7D~%29%0A%5Cend%7Barray%7D~~%0A%25%20%20distance%20value%0Ad%20%3D%20%5Csqrt%7B%28%7B%7B%20x_2%7D%7D-%7B%7B%20x_1%7D%7D%29%5E2%20%2B%20%28%7B%7B%20y_2%7D%7D-%7B%7B%20y_1%7D%7D%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%5B-5-4%5D%5E2%2B%5B-2-%28-1%29%5D%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B%28-5-4%29%5E2%2B%28-2%2B1%29%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0Ad%3D%5Csqrt%7B%28-9%29%5E2%2B%28-1%29%5E2%7D%5Cimplies%20d%3D%5Csqrt%7B81%2B1%7D%5Cimplies%20d%3D%5Csqrt%7B82%7D)
