3x + 2y = 10 ....multiply by -4
12x + 5y = 25
-------------------
-12x - 8y = -40 (result of multiplying by -4)
12x + 5y = 25
------------------add
-3y = - 15
y = -15/-3
y = 5
3x + 2y = 10
3x + 2(5) = 10
3x + 10 = 10
3x = 10 - 10
3x = 0
x = 0
solution is (0,5)
Answer:2 pizzas
Step-by-step explanation:
2 2/3 and 2 5/6 can both be rounded to 3. Double that and you get 6. Since there were 8 pizzas originally,subtract 6 from 8 to get 2 remaining pizzas.
Answer:
The distance between A(-8, 4) and B(4, -1) is 13 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula given by:

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (<em>x₁, y₁</em>) and let B(4, -1) be (<em>x₂, y₂</em>). Substitute:

Evaluate:

So:

The distance between A(-8, 4) and B(4, -1) is 13 units.
Answer:
C. 36
Step-by-step explanation:
There are 217 students and 35 adults.
217 + 35 = 252 people
There are 7 buses for 252 people
252 people ÷ 7 buses = 36 people per bus
Answer:
The coordinates of P' are (4.8,-4.8).
Step-by-step explanation:
The rule of dilation
represent the dilation with scale factor 2.4 and center at origin.
If the scale factor of the dilation is k and the center is (0,0), then

Since the scale factor is 2.4, therefore

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are


Therefore the coordinates of P' are (4.8,-4.8).