Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope
so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2
perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2
y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b
so the equation is
y=-2x-3
your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation
so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
Answer
<h2>
hey..! </h2>
She would have to use 2700g chocolate, 150g eggs, 300ml lemon juice and 750 g of sugar.. to make 21 potions
_____________________________
Answer:
<h2>x = 3.1</h2>
Step-by-step explanation:
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<u>To solve first take logarithm to both sides</u>
That's
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But
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So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
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<u>Using the rules of logarithms</u>
That's
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Rewrite the expression
That's
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</h3>
x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>
Hope this helps you
The constant of proportionality would be "4" ... proportional relationships are in the form of y = kx.. so in your ordered pairs, you can see that to get the 'y' coordinates you would have to multiply the 'x' coordinates by 4.
