Answer:
3x + 24
Step-by-step explanation:
Given that;
Company owns two manufacting plants with the following daily production levels :
PLANT A:
8x + 17 widgets
PLANT B:
5x - 7 widgets
Where x = minimum quantity
How many more items does the first plant produce daily than the second plant?
Subtract the Plant B's production level from plant A
8x + 17 - (5x - 7)
8x + 17 - 5x + 7
Collecting like terms
8x - 5x + 17 + 7
3x + 24
Hence, the number of items the first plant produce daily than the second plant is :
3x + 24
WXYZ is a rhombus with vertices W(0,4b), X(2a,0), Y(0,-4), Z(-2,0). You can see thap points W and Y lie on the y-axis and points X and Z lie on the x-axis. Then the centre of the rhombus is origin, thus W and Y are symmetric about the origin. Then b=1 and point W has coordinates (0,4). Similarly points X and Z are symmetric about the origin and a=1, hence X(2,0).
Let KLMN be middlepoints of segments WX, XY, YZ, ZW, respectively. Then
.
Now find the vectors
,
,
and
:
that means that
.
Similarly,
,
,
.
You prove that KLMN is a recctangle.
Answer:
The value of y is 4 cm.
Step-by-step explanation:
First find the lengths of each side (square root of 256 is 16, so each side of the bigger square is 16 cm) of each square (square root of 64 is 8, so each side of the smaller square is 8 cm). Then, since each y value is the same and equal, 16 (length of one side of bigger square) minus 8 (length of one side of smaller square), divided by 2 (because there are 2 y values per length), you get 4 cm. Hope that helps!
This should be the right answer
Answer:
1/2
Step-by-step explanation:
quadratic equation is ax²+bx+c=0
Products of roots is c/a
Sum of roots is -b/a
On comparing the above equation with general equation we have
a=1
b=-(3k)
c=-(k+2)
Now it is given that sum of roots and product of roots is equal
So,
-b/a=c/a
-b=c
-[-(3k)]=-(k+2)
3k=-k-2
3k+k=-2
4k=-2
k=-1/2