2x + y =7 (1)
3x-y=8 (2)
(1) + (2)
5x = 15
x = 3
The answer is 14, Hope this helps!
The formula for C(n,r), also known as "n choose r" or a combination,
is:
nCr = n! / (r!(n-r)!),
where n is the total number of options and r is number you must choose
The number generated is the total number of possible combinations.
The ! means factorial. For example, 4! = 4 x 3 x 2 x 1
Answer:
B)
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of
would create K'M'P'T' of dimensions;
× 12 units by
× 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be
× perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' =
* x units
=
x units
Answer:
d
Step-by-step explanation: