Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8
slope of a line that is parallel = -3/8
2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4
slope of a line that is parallel = -5/4
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perpendicular, slope is opposite and reciprocal
3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3
4)
x = -7, slope is undefined
so slope of perpendicular line is 0
5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2
5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3
slope is opposite and reciprocal, so the equals are perpendicular
6)
3x + y = 5
y = -3x + 5; slope = -3
6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3
both have slope = -3 so equations are parallel
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Answer:
Step-by-step explanation:
There are <em>an infinite number of possibilities</em>. Any vector whose dot-product with p is zero will be perpendicular to p.
Let m = 0i +1j +ak. Then we require ...
m·p = 0 = 0×1 +1×2 +a(-2) ⇒ 0 = 2 -2a ⇒ a = 1
m = 0i +1j +1k
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Let n = 2i +0j +bk
n·p = 0 = 2×1 +0×2 +b(-2) ⇒ 2 -2b = 0 ⇒ b = 1
n = 2i +0j +1k
we are given that
3 chickens to lay 32 eggs
now, we can find number of eggs per chicken
number of eggs per chicken= (total eggs)/(total chicken)
so, we get
number of eggs per chicken is
now, we can set up following
1.5 chicken : 1.5 eggs : 1.5 days
3 chickens : 3 eggs : 1.5 days
1 chicken : 1 egg : 1.5 days
Since, changing number of chicken won't affect time
time to lay eggs will always remain same
so,
for 1 chicken to lay eggs
it takes
..............Answer
Flour: 2 3/4 cups = 11/4
11/4 * 2 = 22/4 = 5 2/4 cups
Sugar: 1 1/2 cups = 3/2
3/2 = 6/4 = 1 2/4 cups
1 2/4 * 2 = 3 cups
So it *should* be 8 1/2 cups.
It would be equal to −4x^3-14x^2-16x
