Answer:
It's C
Step-by-step explanation:
Your graph should be this one, with both lines solid because, the X line, or red, has to be at least -1 or higher, and the Y line, or the blue, has to be +4 or higher
Answer:
1
Step-by-step explanation:
We will consider only the last digit multiplication and the pattern.
When we multiply 843,219 with 843,219, we have
9 * 9 = 81 [1 is important]
1 * 9 = 9
9 * 9 = 81 [1 is important]
So when we multiply them out with each other, we have a pattern of
9, 1, 9, 1 ... goes on
So if we multiply 100 times, what will be the last digit of the series 9, 1, 9, 1 .... it will be 1
hence, last digit is 1
-- Reflecting across the x-axis makes all the x-coordinates the negative of
what they were before the reflection. The y-coordinates don't change.
-- Translating 2 units up makes all the y-coordinates 2 greater than
they were before the translation. The x-coordinates don't change.
You didn't give us a list of new coordinates, so there's nothing
to match with.
Answer:
45 degree
Step-by-step explanation:
We are given that
Angle PSR=99 degrees
Angle PSQ=(3x+18) degrees
Angle QSR=(9x-27)degrees
According to question
Angle PSR=Angle PSQ+angle QSR
Substitute the values




Substitute the value of x
Angle PSQ=
Hence, the measure of angle PSQ=45 degree
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.