Answer: 9 1/16
nine and one sixteenth
Step-by-step explanation:
Substitute x = 3 and y = 4 into the equation:
3x + 1/4^y
= 3(3) + 1/4^(2)
Then solve using the order BEDMAS (brackets, exponenets, division, multiplication, addition, subtraction).
= 3(3) + 1/4^(2)
= 3(3) + 1/16
= 9 + 1/16
= 9 1/16
Answer:
a) 115°
b) 140°
c) 75°
d) 255°
Step-by-step explanation:
a) another line parallel to AB through E will split x into two sectors.
Parallel lines intersected by a third line makes opposite internal angles of equal value. Supplemental angles add to 180°
x = (180 - 120) + (180 - 125) = 115°
b) double application of parallel lines intersected by a third line making corresponding angles identical.
c) more of the same
d) more of the same
Answer: 7/8
Step-by-step explanation:
Answer:
The correct option is;
Use a scale factor of 2
Step-by-step explanation:
The parameters given are;
A = (1, -6)
B = (5, -6)
C = (6, -2)
D = (0, -2)
A'' = (1.5, 4)
B'' = (3.5, 4)
C'' = (4, 2)
D'' = ( 1, 2)
We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4
The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2
Which gives;
AB/A''B'' = 4/2 = 2
Similarly;
The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17
The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2
Also we have;
The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6
The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3
For the side DA and D''A'', we have;
The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17
The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2
Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2
The correct option is therefore;
Use a scale factor of 2.
Answer:
C. (2×43) - (2×p)
Step-by-step explanation:
The question is 2(43-p)
Which means 2 is multiplying the bracket.
So the answer to the question is 2×43 - 2×p
Which will give us 86 - 2p
So you then solve all the possible answers to see if it the same answer as the one we got