Answer:
480
Step-by-step explanation:
1200 times 0.4 equals 480
Answer:
x = 15/8.
Step-by-step explanation:
Create an equation, let the number be x:
2/3 * x = 5/4
Now we multiply both sides by 3/2
3/2 * 2/3 x = 5/4 * 3/2
x = 15/8.
C. y - 3 = 2/3(x-3)
Nothing much to do here except examine each equation and plug in the numbers to see if it's true.
a. y + 3 = 3/2(x+3)
Try 3,3
3 + 3 = 3/2(3+3)
6 = 3/2(6). And no need to go further, it's obviously not equal.
b. y - 3 = 3/2(x-3)
Try 3,3
3 - 3 = 3/2(3-3)
0 = 3/2(0). OK. Let's try 6,5
5 - 3 = 3/2(6-3)
2 = 3/2(3)
2 = 9/2 And it's not true, so check the next one.
c. y - 3 = 2/3(x-3)
Try 3,3
3 - 3 = 2/3(3-3)
0 = 0. Check 6,5
5 - 3 = 2/3(6-3)
2 = 2/3(3)
2 = 2. Good. Both sample points work. This is the correct answer.
Just to be sure, let's check the next option
d. y + 3 = 2/3(x+3)
Try 3,3
3 + 3 = 2/3(3+3)
6 = 2/3(6). And doesn't match.
Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:

We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:

Subtract:

Square:

Add:

Approximate

So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
Y=4
-10/-10 = -40/-10
-40/-10 = 4