3. 4y-3
because 1/3*12y - 1/3*9 = 4y - 3
Answer:
2/45
Step-by-step explanation:
Total socks:
7 + 8 + 10 + 5 = 30
P(blue) × P(patterned)
8/30 × 5/30
4/15 × 1/6
2/45
(i) XYZ = 180 - 64
= 116 degrees
Opposite angles in a cyclic quadrilateral add up to 180 degrees
(ii) YXZ = 23 degrees
Alternate angles in a segment are the same
(iii) OXZ = 26
XOZ = 64 x 2
= 128 degrees
The the angle at the centre is double the angle at the circumference.
180 - 128 = 52
OXZ = 52/2
= 26
Triangle OZX is an isosceles triangle
(Don't forget to include the reasons above full marks)
Answer:
Given equation: 
The function is a <u>quadratic function</u> in <u>vertex form</u>: 
<u>Translations</u>
For 




Parent function:
<u>Translations</u>
Translated 1 unit left: 
Then translated 2 units down: 
Therefore, translate the parent function by <u>1 unit left</u> and <u>2 units down</u> to produce the given equation.