Answer:
1. -5y + 2y = -3y
2. -8r - 16 + 6r - 12
3. -8r - -16 + 6r - 12
4. -8r - -16 + 6r - 12
5. 2m +13
Step-by-step explanation:
why is there 2 of the same
Step 1: Find the slope of 3x - 7y = 6
3x - 7y = 6
- 3x -3x
___________
-7y = -3x + 6
-------------------
-7
y = 3/7 x - 7/6
So the slope from this equation is 3/7. Since the line is going to be perpendicular, this slope needs to be the opposite reciprocal. In order to do this, you need to flip 3/7 upside down and make it negative.
Step 2: Use point - slope form to find the y - intercept from the ordered pair
(0, -6/7).
Formula for point - slope form is y - y1 = m (x - x1)
y - (-6/7) = -7/3 (x - 0)
y + 6/7 = -7/3 (x - 0)
y + 6/7 = -7/3x + 0
-6/7 -6/7
----------------------------------
y = -7/3x - 6/7
This step proves that the y - intercept has to be -6/7.
Step 3: Your final answer should be y = -7/3 - 6/7.
First convert 8 mm to cm.
We know that 8 mm = 0.8 cm.
White fabric to coloured fabric =
1.5 to 0.8
1.5/0.8
This can be expressed as 15/8 or as a mixed number in the form 1_(7/8).
For this case we have three different functions in three different intervals.
Let's write the function for each interval.
We have:
For t = [0,5]
v (t) = 23 m / h
For t = [5,10]
v (t) - vo (t) = m * (t - to)
m = (46-23) / (10-5)
m = 4.6
We choose an ordered pair:
(to, vo (t))) = (5, 23)
Substituting:
v (t) - 23 = (4.6) * (t - 5)
Rewriting:
v (t) - 23 = (4.6) * (t - 5)
v (t) = 4.6 * t - 23 + 23
v (t) = 4.6 * t
For t = [10, 5]
v (t) = 46
Answer:
First graphic (from left to right)
Answer:
B
Step-by-step explanation:
