Answer:
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<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
Cups of flour=15 3/4=15+ 3/4=(4*15+3)/4=63/4
Cups of sugar=10 1/2=(2*10+1)/2=21/2
We solve this problem by rule of 3:
63/4 cups of flour--------------100 people
x------------------------------------ 25 people
x=(63/4 cups of flout * 25 people)/100 people=1575/400 cups of flour=
=63/16=(3*16+15)/16=3 15/16 cups of flour.
21/2 cups of sugar-----------------100 people
x-----------------------------------------25 people
x=(21/2 cups fo sugar * 25 people) / 100 people=525/200 cups of sugar= 21/8 =(2*8+ 5)/8=2 5/8 cups of sugar.
Answer: 3 15/16 cups of flour and 2 5/8 cups of sugar.
Answer:
1 and 1
Step-by-step explanation:
degree of 1 and 1 term.
