Y = -6x + 2 . . . . . . . . (1)
-12x - 2y = -4 . . . . . . (2)
Putting (1) into (2), we have
-12x - 2(-6x + 2) = -4
-12x + 12x - 4 = -4
-4 = -4
Therefore, the system has infinite number of solutions.
Well I don't know !
Let's figure it out together.
Each cube can land in 6 different ways, so the total number
of possible results with two cubes is (6 x 6) = 36 .
Now we need to figure out how many of those 36 possibilities
meet your specifications ... either 9 or any even number.
Ways to make 9 :
3 . . . 6
6 . . . 3
4 . . . 5
5 . . . 4
Four ways to make 9.
____________________________
Ways to make an even number:
1 . . . 1
3 . . . 1
1 . . . 3
2 . . . 2
5 . . . 1
1 . . . 5
6 . . . 2
2 . . . 6
6 . . . 4
4 . . . 6
6 . . . 6
Eleven ways to make an even number.
_____________________
Total number of ways to succeed = (4 + 11) = 15 ways
So the probability of succeeding (rolling 9 or an even number)
is
15 / 36 = 5 / 12 = 0.41666... = (41 and 2/3) % .
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
__
b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
__
c) Equating the expressions for area, we have ...
w(4w -15) = w²
__
d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
__
e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
Answer:
48
Step-by-step explanation:
8 squares=32
8 half squares=16
32+16=48
There are 4 sides to a 8 whole squares 8*4=32
There a 2 sides to 8 half squares 8*2=16
Answer:
El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.
Respuesta:
De largo mide 16m
De ancho mide 8m
Explicación paso a paso:
Perímetro = número de lados multiplicado por longitud del lado.
Formula: P = 2(a + b) o P = 2b + 2h
Donde: P = Rectángulo del perímetro
a y b = Longitudes de lados
Asignamos las variables:
Largo = 2x
Ancho = x
Utilizamos la formula:
2(x) + 2(2x) = 48
2x + 4x = 48
6x = 48
x = 48/6
x = 8m (ancho)
2x
2(8)
16m (largo)
Step-by-step explanation: