Answer:
Step-by-step explanation:
-5x - 8y = -3
5x + 9y = 3
y = 0
5x + 0 = 3
5x = 3
x = 3/5
(3/5, 0)
The perimeter of each is the sum of the lengths of its sides.
Triangle Perimeter = 16 + 4x-3 +3x = 7x+13
Square Perimeter = 2x +2x +2x +2x = 8x
If these are equal, you have
The length of a side of the square is 26 units.
Answer:
20/3
Step-by-step explanation:
(3/8)*(10/9)*16
This is 30/72 = 5/12
5/12*16=20/3
Answer:
C and D
Step-by-step explanation:
Equating the line A and the parabola, we get
-3x + 2 = x² - 3x + 4
0 = x² - 3x + 4 +3x - 2
0 = x² + 2
-2 = x²
which has no real solutions. Then, the line A and the parabola don't intersect each other.
Equating the line B and the parabola, we get
-3x + 3 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 3
0 = x² + 1
-1 = x²
which has no real solutions. Then, the line B and the parabola don't intersect each other.
Equating the line C and the parabola, we get
-3x + 5 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 5
0 = x² - 1
1 = x²
√1 = x
which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.
Equating the line D and the parabola, we get
-3x + 6 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 6
0 = x² - 2
2 = x²
√2 = x
which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.
Answer:
Step-by-step explanation:
A)
d = r* t Divide both sides by t
d/t = r
r = d/ t
B)
d = 800000
t = 4 hours
r = 800000 / 4
r = 200000 meters/hour
C
r = 200000 meters / hour * [ 1 km / 1000 meters]
r = 200 km / hr
D
I imagine you are more familiar (especially if you live anywhere but the states) with 200 km/ hour. I am very doubtful that any bird can keep that up for 4 hours. 200 km / hour is equal to about 125 miles / hour. There are few places that will allow a car to travel at that speed. You should be using km/hour because you (should) be more familiar with the units.
