Answer:
Width = 2x²
Length = 7x² + 3
Step-by-step explanation:
∵ The area of a rectangle is 
∵ Its width is the greatest common monomial factor of
and 6x²
- Let us find the greatest common factor of 14 , 6 and
, x²
∵ The factors of 14 are 1, 2, 7, 14
∵ The factors of 6 are 1, 2, 3, 6
∵ The common factors of 14 and 6 are 1, 2
∵ The greatest one is 2
∴ The greatest common factor of 14 and 6 is 2
- The greatest common factor of monomials is the variable with
the smallest power
∴ The greatest common factor of
and x² is x²
∴ The greatest common monomial factor of
and 6x² is 2x²
∴ The width of the rectangle is 2x²
To find the length divide the area by the width
∵ The area = 
∵ The width = 2x²
∴ The length = (
) ÷ (2x²)
∵
÷ 2x² = 7x²
∵ 6x² ÷ 2x² = 3
∴ (
) ÷ (2x²) = 7x² + 3
∴ The length of the rectangle is 7x² + 3
Answer:
c
Step-by-step explanation:
the answer is c
alernate angles are angles that take the shape of z
Answer:
C.) Triangle TUV ~ Triangle WXY
Step-by-step explanation:
Find the angles that are equal in each triangle, and put them in the same position in the statement.
T and W are equal; therefore, they are first in each.
U and X are equal; therefore, they are second in each.
V and Y are equal; therfore, they are last in each.
Answer:
-8
Step-by-step explanation:
1^2=1
-4 x -1 =-4
-4 - 1 -3 = -8
Plug in 1 where there is x
Answer:
560 downloads of standard version downloads.
Step-by-step explanation:
Let there were number of standard version of downloads = x
and number of high quality version of downloads = y
There were total 950 downloads of the both type of songs.
x + y = 950 -----(1)
Size of the standard version songs = 2.8 MB
and the size of the high quality version songs = 4.4 MB
Total download size = 3284 MB
2.8x + 4.4y = 3284
7x + 11y = 8210 -----(2)
Multiply equation (1) by 11 (-) equation (2)
(11x + 11y) - (7x + 11y) = 10450 - 8210
4x = 2240
x = 560
There were 560 downloads of the standard version downloads.