Answer:
(-4;2)
Step-by-step explanation:
1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;
2. if x+4y=4, it is possible to re-write it as x+4y-4=0;
3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.
4. if y=2, then it is possible to substitute its value into any equation given in the condition:
x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.
5. finally x= -4; y=2. It means (-4;2)
PS. the suggested solution is not the only way to resolve this task.
Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9
Answer:
centimeter is the best to meause with
Answer:
48 cm
Step-by-step explanation:
Here, we are concerned with finding the perimeter of the rectangle.
Now, since the square has an area of 9 cm^2, it means that the squares has a side of 3 cm each since the area of a square is s^2
So now, there are 5 squares in a row, meaning in a straight stretch , left to right or right to left, there are 15 squares. So the total length here is 5 * 3 = 15 cm
Now, moving column-wise, from top to bottom, since we have 3 rows, what this means is that per column of the rows, there are 3 squares. So the total length here becomes 3 * 3 = 9 cm
So we have a rectangle 9cm by 15cm
The perimeter is thus 2(L + B) = 2(15 + 9) = 2(24) = 48 cm