A. 3x + y = 13 → 15x + 5y = 65
x - 5y = 15 → x - 5y = 15
16x = 80
16 16
x = 5
x - 5y = 15
5 - 5y = 15
- 5 - 5
-5y = 10
-5 -5
y = -2
(x, y) = (5, -2)
b. 6x - y = 14
2x + y = 12
8x = 26
8 8
x = 3¹/₄
6x - y = 14
6(3¹/₄) - y = 14
19¹/₂ - y = 14
- 19¹/₂ - 19¹/₂
-y = -5¹/₂
-1 -1
y = 5¹/₂
(x, y) = (3¹/₄, 5¹/₂)
c. 3x - 4y = 22 → 15x - 20y = 110
2x + 5y = 7 → 8x + 20y = 28
23x = 138
23 23
x = 6
3x - 4y = 22
3(6) - 4y = 22
18 - 4y = 22
- 18 - 18
-4y = 4
-4 -4
y = -1
(x, y) = (6, -1)
Answer: x= (2/3,0) y=(0,2)
X=(4,0) y=(0,8)
X=(-3,0) y=(0,-3)
Step-by-step explanation:
Answer: Option D.
Step-by-step explanation: The formula for a triangular prism is B * h where B = area of base.
Multiply 24 * 10 then divide by 2. 24 * 10 / 2 = 120 = Area for the base of the triangle.
I hope this helped at least just a little bit. :)
Answer:
It will take 4.71 hours to travel a distance of 221.43 miles
Step-by-step explanation:
Given
Distance covered in time 7.99 hours is 375.32 miles.
Now we know that speed is equal to distance per unit time.
Therefore,
Which is the constant speed, hence now time taken for a distance of 221.43 miles will be
Therefore, the time taken to cover 221.43 miles is 4.71 hours.
