Answer:
208.5714
Step-by-step explanation:
how many weeks are in 4 years
Y = -10x + 1...slope here is -10. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of a number, flip the number and change the sign. So our perpendicular line will need a slope of 1/10.
y = mx + b
slope(m) = 1/10
(5,7)....x = 5 and y = 7
now sub and find b, the y int
7 = 1/10(5) + b
7 = 1/2 + b
7 - 1/2 = b
14/2 - 1/2 = b
13/2 = b
so ur perpendicular line going thru (5,7) is y = 1/10x + 13/2
Answer: 2 and 1/4 cups of oats (9/4 cups of oats)
Step-by-step explanation:
We know that, for the recipe, we need 3/4 cups of oats.
Now, you want to triple the recipe (then you need to use 3 times more ingredients).
This means that, if for the recipe you needed 3/4 cups of oats, when we triple that we have:
3*(3/4 cups) = 9/4 cups
This means that you need to use 9/4 cups of oats.
And we could also write this as:
9/4 cups = 8/4 cups + 1/4 cups = 2 + 1/4 cups of oats.
This is a differnce of 2 perfect squares
a²-b²=(a-b)(a+b)
so
9x²-64=(3x)²-(8)²=(3x-8)(3x+8)
factors are (3x-8) and (3x+8)