<span>Rules for rotating points about the origin
1. The point (a,b) rotated 90° counterclockwise about
the origin
becomes (-b,a).
</span><span>A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
</span>A (a,b)-----------------A′ (-b,a)=(-1, 3)----------->A( 3,1)
B (a,b)-----------------B′ (-b,a)=(-2, 2)----------->B( 2,2)
C (a,b)-----------------C′ (-b,a)=(-2, 1)----------->C( 1,2)
D (a,b)-----------------D′ (-b,a)=(-1, 1)----------->D( 1,1)
Answer:
Step-by-step explanation: If Professor Lam grades 4 papers per hour, in 11 hours he will graded 44 papers. (11 x 4= 44). He had previously graded 6 papers giving him a total of 50 papers graded. His assistant can grade 5 papers per hour, thus it would take him 10 hours to grade the same amount of papers as Professor Lam. (10 x 5= 50) Thus: 11 hours Professor Lam 50 papers graded; 10 hours his assistant 50 papers graded.
Answer:
£800
Step-by-step explanation:
Use the percentage formula: NV = m x OV
NV is New Value;
m is Multiplier;
and OV is Old Value.
£640 in the New value, so now we have to convert 20% to a multiplier and find out the Old value.
Make OV the subject of the formula: OV = NV / m
So 20% decrease would mean: 100 - 20 = 80 * 100 = 0.80
Divide 640 (NV) by 0.80 (m) and it will give you:
£800
And it would make sense that the OV is higher, and it matches the statement -> as the NV is the decrease.
Answer:
48 hours
Step-by-step explanation:
there are 24 in a day.
24 x 2 = 48 hours
Answer:
Options (B) and (C)
Step-by-step explanation:
The given expression is 
By simplifying this expression,
= ![(\sqrt[8]{d})^{5}](https://tex.z-dn.net/?f=%28%5Csqrt%5B8%5D%7Bd%7D%29%5E%7B5%7D)
Option (B)
Similarly,
= 
= 
Option (C)
Therefore, Options (B) and (C) will be the correct options.
