Answer:
C - 3 Books.
Step-by-step explanation:
The student borrowed 2 books on Monday, and another 4 books on Tuesday, so 2 + 4 = 6. Since the student later returned 3 of said books, we can do 6 - 3 = 3. The student ends up with 3 books in total.
<u>Answer:</u>
3/4
<u>Step-by-step explanation:</u>
We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices A(−5, −4), B(−7, 3) and C(3, −2) to the image triangle A'B'C' with vertices A' (−3.75, −3), B' (−5.25, 2.25) and C' (2.25, −1.5).
Center of dilation is at the origin.
To find the scale factor, we will divide the corresponding vertices of the image and pre-image.
A(−5, −4) ---> A' (−3.75, −3) =
B(−7, 3) ---> B' (−5.25, 2.25) =
C(3, −2) ---> C' (2.25, −1.5) =
Therefore, the scale factor of the dilation is 3/4.
Answer:
the last one
Step-by-step explanation:
Answer:
see attached
Step-by-step explanation:
The boundary lines are drawn by considering the relation as an equation.
The first "equation" describes a line with slope -8/3 through the y-intercept point (0, 6). Another point on that line would be 8 units down and 3 units right of (0, 6), at (3, -2). Both inequalities include the "or equal to" case, so both boundary lines are solid lines.
Since we have y ≥ ( ), the shading is above the line.
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The second "equation" describes a line with a slope of 5/3 through the y-intercept point (0, -7). Another point would be 5 units up and 3 units right of (0, -7), at (3, -2). Since we have y ≤ ( ), the shading is below the line.
That is, the solution region is in the right-hand quadrant of the X where the lines cross. It includes the lines themselves.
546,322 is greater than 540,997.