Answer:
solution is

Step-by-step explanation:
We are given equation as

Firstly, we will find equations
First equation is

Second equation is

now, we can draw graph
and then we can find intersection point
we can see that
intersection point is (1.353,1.613)
so, solution is

Answer:
y = -x + 4
Step-by-step explanation:
(-1,5)...x1 = -1 and y1 = 5
(1,3)....x2 = 1 and y2 = 3
slope(m) = (y2 - y1) / (x2 - x1) = (3 - 5) / (1 - (-1) = -2 / (1 + 1) = -2/2 = -1
y = mx + b
slope(m) = -1
u can use either of ur points...I will use (1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = -1(1) + b
3 = -1 + b
3 + 1 = b
4 = b
ur equation is : y = -x + 4 <===
Answer:
does not make sense
Step-by-step explanation:
Hey there!
Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.
Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is

.
Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.
The answer will be B, "a dilation with a scale factor of

and then a translation."
Hope this helped you out! :-)
Answer:
The answer is: There are only 143034 books left after the students return to their classroom
Step-by-step explanation:
Lets call X= Number of books left in the library after the students return to their classroom.
B=Total of Books in the library
S=Total of books taken by the 3rd grade students
If each student of the 3rd grage class take 2 books, the total of book taken by the 3rd grade students would be:
S=2 books per student * Total of students of the 3rdgrade
S=2*21=42
Then we must substract Total of Books in the library minus Total of books taken by the 3rd grade students. That would be:
X=B-S
X=143076-42
X=143034
I hope that this answer will help you